Data Preliminaries

We begin by cleaning up our data, removing responses where users chose not to include a generalization. We used the same power analysis from Experiment 1 to conclude we need 90 participants worth of data. Overall, we recruited 102 participants. Four participants were excluded because more than half their generalizations consisted of no generalizations. Eight were excluded because the majority of their generalizations were not about the data they saw, per our pre-registered exclusion criteria.

We subset from a total of 1880 to 1608, removing a total of 272 generalizations, representing trials where a participant did not provide a generalization for the presented stimuli or generalizations that misinterpreted the presented stimuli.

d_50 <- read.csv("./data/[E2]N=50-Full-Cleaned.tsv", sep="\t")

d_50$confidence <- suppressWarnings(as.numeric(as.character(paste(d_50$confidence))))
d_50$initSliderValue <- suppressWarnings(as.numeric(as.character(paste(d_50$initSliderValue))))
sapply(d_50, class)

df_50 <- subset(d_50, d_50$correct!="NA")

nrow(df_50)
##     Min.  1st Qu.   Median     Mean  3rd Qu.     Max. 
## -2787.60  -173.83    22.41    18.32   283.64  2564.36
## [1] 861.1865

Descriptive Statistics

We look at overall summaries of the aggregation strategy. In addition, we coded each generalization into a class as specified by our pre-registration, and summarize the results.

There are less generalizations made in the mean aggregation condition. In addition, the most common generalizations were categorized into the mean or shape classes, with the next most frequent being correlation and rank. There were extremely few variance generalizations, likely because of the strict nature of the coding for this generalization class — participants had to explicitly mention the variance of data in a view. On average per participant we encoded 3.09 ± 1.86 correlation, 4.69 ± 3.22 mean, 2.93 ± 2.73 rank, 7.27 ± 4.60 shape, and 0.22 ± 0 variance generalizations. (Compared to 3.13 ± 1.76 correlation, 6.92 ± 4.23 mean, 2.44 ± 2.13 rank, 6.81 ± 5.12 shape, 0.04 ± 0 variance in E1).

To see this better, we plot the distribution of generalizations across generalization class. We observe that participants made the most shape class generalizations with the disaggregation condition, the most rank class generalizations with the mean condition and the most mean class generalizations with the mean aggregation condition.

summary(df_50$aggStrat)
##      disagg disagg+mean        mean 
##         550         558         500
# summary(df_50$)

suppressWarnings(ddply(df_50, c("insightClass", "workerId"), summarise, 
         n=nrow(df_50),
         k=sum(df_50$insightClass == insightClass & df_50$workerId == workerId))) %>%
   ddply(c("insightClass"), summarise,
         generalizationClassTotal=sum(k),
         percentTotal=sum(k)/nrow(df_50),
         avgNumberPerParticipant=sum(k) / 90,
         sd=sd(k))
##   insightClass generalizationClassTotal percentTotal avgNumberPerParticipant
## 1  correlation                      276  0.171641791              3.06666667
## 2         mean                      420  0.261194030              4.66666667
## 3         rank                      262  0.162935323              2.91111111
## 4        shape                      648  0.402985075              7.20000000
## 5     variance                        2  0.001243781              0.02222222
##         sd
## 1 1.973880
## 2 3.172175
## 3 2.733048
## 4 4.683115
## 5 0.000000
suppressWarnings(ddply(df_50, c("aggStrat","insightClass"), summarise, 
         n=sum(correct==TRUE)+sum(correct==FALSE),
         k=sum(df_50$aggStrat == aggStrat),
         percAggStrat=n/k))
##       aggStrat insightClass   n   k percAggStrat
## 1       disagg  correlation  81 550  0.147272727
## 2       disagg         mean  57 550  0.103636364
## 3       disagg         rank  76 550  0.138181818
## 4       disagg        shape 335 550  0.609090909
## 5       disagg     variance   1 550  0.001818182
## 6  disagg+mean  correlation 112 558  0.200716846
## 7  disagg+mean         mean 136 558  0.243727599
## 8  disagg+mean         rank  65 558  0.116487455
## 9  disagg+mean        shape 245 558  0.439068100
## 10        mean  correlation  83 500  0.166000000
## 11        mean         mean 227 500  0.454000000
## 12        mean         rank 121 500  0.242000000
## 13        mean        shape  68 500  0.136000000
## 14        mean     variance   1 500  0.002000000
suppressWarnings(ddply(df_50, c("aggStrat"), summarise, 
         n=nrow(df_50),
         k=sum(df_50$aggStrat == aggStrat),
         pbar = k/n, 
         se = sqrt(pbar*(1 - pbar)/n)))
##      aggStrat    n   k      pbar         se
## 1      disagg 1608 550 0.3420398 0.01183028
## 2 disagg+mean 1608 558 0.3470149 0.01187087
## 3        mean 1608 500 0.3109453 0.01154319
suppressWarnings(ddply(df_50, c("aggStrat", "insightClass"), summarise, 
         n=nrow(df_50[df_50$aggStrat == aggStrat,]),
         k=sum(df_50$aggStrat == aggStrat & df_50$insightClass == insightClass),
         pbar = k/n, 
         se = sqrt(pbar*(1 - pbar)/n),
         min=pbar-1.96*se,
         max=pbar+1.96*se))
##       aggStrat insightClass   n   k        pbar          se          min
## 1       disagg  correlation 550  81 0.147272727 0.015110711  0.117655734
## 2       disagg         mean 550  57 0.103636364 0.012996214  0.078163784
## 3       disagg         rank 550  76 0.138181818 0.014714718  0.109340972
## 4       disagg        shape 550 335 0.609090909 0.020806431  0.568310304
## 5       disagg     variance 550   1 0.001818182 0.001816528 -0.001742213
## 6  disagg+mean  correlation 558 112 0.200716846 0.016956068  0.167482953
## 7  disagg+mean         mean 558 136 0.243727599 0.018174998  0.208104602
## 8  disagg+mean         rank 558  65 0.116487455 0.013580909  0.089868874
## 9  disagg+mean        shape 558 245 0.439068100 0.021008929  0.397890600
## 10        mean  correlation 500  83 0.166000000 0.016639952  0.133385694
## 11        mean         mean 500 227 0.454000000 0.022265848  0.410358937
## 12        mean         rank 500 121 0.242000000 0.019153903  0.204458350
## 13        mean        shape 500  68 0.136000000 0.015329971  0.105953258
## 14        mean     variance 500   1 0.002000000 0.001997999 -0.001916078
##            max
## 1  0.176889721
## 2  0.129108943
## 3  0.167022665
## 4  0.649871515
## 5  0.005378577
## 6  0.233950739
## 7  0.279350595
## 8  0.143106037
## 9  0.480245601
## 10 0.198614306
## 11 0.497641063
## 12 0.279541650
## 13 0.166046742
## 14 0.005916078
summary(df_50$insightClass)
##       correlation              mean misinterpretation              rank 
##               276               420                 0               262 
##             shape          variance 
##               648                 2

Accuracy

Accuracy by Aggregation Strategy

We calculate summary statistics for accuracy for each of our aggregation strategies to get a better sense of our data. While the mean aggregate condition generalizations have a lower frequency, there is no significant difference between accuracies of aggregation strategy.

df_50 %>% 
  ddply(~aggStrat, summarise, 
        Correct=sum(correct==TRUE), 
        Incorrect=sum(correct==FALSE), 
        Total=Incorrect+Correct,
        Accuracy=Correct/(Incorrect+Correct)
        )
##      aggStrat Correct Incorrect Total  Accuracy
## 1      disagg     277       273   550 0.5036364
## 2 disagg+mean     303       255   558 0.5430108
## 3        mean     249       251   500 0.4980000
# Accounting for differences in workers
df_50_agg_accuracy <- df_50 %>%
   ddply(.(aggStrat, workerId), summarise,
         Correct=sum(correct==TRUE),
         Incorrect=sum(correct==FALSE),
         PercCorrect=Correct/(Incorrect+Correct),
         Total=Incorrect+Correct) %>%
   ddply(~aggStrat, summarise,
         N = sum((Total)),
         meanAcc = mean(PercCorrect),
         sd = sd(PercCorrect),
         se = sd / sqrt(N))
df_50_agg_accuracy
##      aggStrat   N   meanAcc        sd          se
## 1      disagg 550 0.4946830 0.2303731 0.009823141
## 2 disagg+mean 558 0.5316272 0.2474540 0.010475565
## 3        mean 500 0.4979605 0.2770429 0.012389737

Accuracy by Aggregation Strategy, Faceted by Generalization Class

Next, we look at the the accuracy of aggregation strategy, faceted by generalization class. We also look at the breakdown in percentages per aggregation condition (PercTotalofAggStrat). We plot the results for visual aid. We observe that participants had low accuracy for rank classed generalizations. This is likely because the N=50 sample size of E2 expressed a difference in means or values that wasn’t observed in the population.

##       aggStrat insightClass Correct Incorrect Total  Accuracy
## 1       disagg  correlation      54        27    81 0.6666667
## 2       disagg         mean      28        29    57 0.4912281
## 3       disagg         rank      12        64    76 0.1578947
## 4       disagg        shape     182       153   335 0.5432836
## 5       disagg     variance       1         0     1 1.0000000
## 6  disagg+mean  correlation      83        29   112 0.7410714
## 7  disagg+mean         mean      61        75   136 0.4485294
## 8  disagg+mean         rank      15        50    65 0.2307692
## 9  disagg+mean        shape     144       101   245 0.5877551
## 10        mean  correlation      61        22    83 0.7349398
## 11        mean         mean      98       129   227 0.4317181
## 12        mean         rank      52        69   121 0.4297521
## 13        mean        shape      37        31    68 0.5441176
## 14        mean     variance       1         0     1 1.0000000
##    PercTotalofAggStrat
## 1          0.147272727
## 2          0.103636364
## 3          0.138181818
## 4          0.609090909
## 5          0.001818182
## 6          0.200716846
## 7          0.243727599
## 8          0.116487455
## 9          0.439068100
## 10         0.166000000
## 11         0.454000000
## 12         0.242000000
## 13         0.136000000
## 14         0.002000000

Accuracy by Data Type Combination

We analyze accuracy with respect to data type combination (univariate, 1 quantitative x 1 nominal, 2 quantitative). We observe that the 1 quantitative x 1 nominal data type combination fares worse compared to the univariate and 2 quantitative data type combinations: 39.8% for 1 quantitative x 1 nominal vs 65.6% accurate for 2 quantiative and 57.6% accurate for the univariate data type.

##   dataTypeCombination Correct Incorrect  Accuracy Total
## 1    nominalBivariate     254       392 0.3931889   646
## 2      quantBivariate     296       195 0.6028513   491
## 3          univariate     279       192 0.5923567   471
##   dataTypeCombination    aggStrat Correct Incorrect  Accuracy Total
## 1    nominalBivariate      disagg      75       157 0.3232759   232
## 2    nominalBivariate disagg+mean      77       135 0.3632075   212
## 3    nominalBivariate        mean     102       100 0.5049505   202
## 4      quantBivariate      disagg      96        57 0.6274510   153
## 5      quantBivariate disagg+mean     112        51 0.6871166   163
## 6      quantBivariate        mean      88        87 0.5028571   175
## 7          univariate      disagg     106        59 0.6424242   165
## 8          univariate disagg+mean     114        69 0.6229508   183
## 9          univariate        mean      59        64 0.4796748   123

##   dataTypeCombination   N   meanAcc        sd         se
## 1    nominalBivariate 646 0.3982476 0.2216479 0.00872062
## 2      quantBivariate 491 0.6564071 0.2640941 0.01191840
## 3          univariate 471 0.5769841 0.2590357 0.01193573
##   dataTypeCombination    aggStrat   N   meanAcc        sd         se
## 1    nominalBivariate      disagg 232 0.2781893 0.3289175 0.02159449
## 2    nominalBivariate disagg+mean 212 0.3204123 0.3725691 0.02558815
## 3    nominalBivariate        mean 202 0.4747619 0.3820878 0.02688360
## 4      quantBivariate      disagg 153 0.6487179 0.3627670 0.02932797
## 5      quantBivariate disagg+mean 163 0.6757143 0.3902360 0.03056564
## 6      quantBivariate        mean 175 0.5178912 0.4197166 0.03172759
## 7          univariate      disagg 165 0.6526316 0.3729865 0.02903696
## 8          univariate disagg+mean 183 0.6117778 0.3834584 0.02834606
## 9          univariate        mean 123 0.4294872 0.4474710 0.04034710

Bayesian Models Setup

Next, we’ll run some Bayesian regressions. First let’s set up the data for the modeling.

Accuracy Bayesian Model

We run a hierarchical logistic regression model to evaluate the impact of aggregation strategy on accuracy as per our pre-registration. We report the results as the distribution of posterior mean estimates for effects of both aggregation strategies and trial and the standard eviation for varying intercepts of participant ID and view ID. We find that there doesn’t seem to be an evidence of effect, as all intervals are centered near 0.

Let’s plot results

##             Mean    StdDev  lower 0.95 upper 0.95    n_eff     Rhat
## bnoagg 0.0625821 0.1358390 -0.19168594  0.3412335 5065.185 1.000581
## bmean  0.1955359 0.1341102 -0.07491764  0.4526900 5222.715 1.000493
##            Mean   StdDev lower 0.95 upper 0.95 n_eff     Rhat
## bnoagg 1.064582 1.145497  0.8255661   1.406682   Inf 2.719863
## bmean  1.215962 1.143519  0.9278199   1.572537   Inf 2.719621
##  a_worker[1]  a_worker[2]  a_worker[3]  a_worker[4]  a_worker[5]  a_worker[6] 
##    0.9212476    0.7532744    1.3710510    1.7718874    1.2772375    0.9051077 
##  a_worker[7]  a_worker[8]  a_worker[9] a_worker[10] a_worker[11] a_worker[12] 
##    0.9894245    1.0042120    0.8283907    0.3463557    1.0710001    1.1409556 
## a_worker[13] a_worker[14] a_worker[15] a_worker[16] a_worker[17] a_worker[18] 
##    0.7503414    1.0740854    1.1964530    0.9118292    1.0450933    1.1459058 
## a_worker[19] a_worker[20] a_worker[21] a_worker[22] a_worker[23] a_worker[24] 
##    0.5369385    1.2024097    0.5265641    1.0829262    1.1237699    0.5732189 
## a_worker[25] a_worker[26] a_worker[27] a_worker[28] a_worker[29] a_worker[30] 
##    1.1678408    1.5083073    1.4179238    1.1368169    0.9134855    0.8914409 
## a_worker[31] a_worker[32] a_worker[33] a_worker[34] a_worker[35] a_worker[36] 
##    1.3710077    1.0986110    0.8165960    0.9970933    1.0179577    0.8683981 
## a_worker[37] a_worker[38] a_worker[39] a_worker[40] a_worker[41] a_worker[42] 
##    1.2159083    0.8757022    0.7716069    0.7306902    0.8694430    1.5654633 
## a_worker[43] a_worker[44] a_worker[45] a_worker[46] a_worker[47] a_worker[48] 
##    0.9555779    0.7407391    1.0561815    0.9252856    0.7736677    1.2276515 
## a_worker[49] a_worker[50] a_worker[51] a_worker[52] a_worker[53] a_worker[54] 
##    1.6377248    1.0202545    1.4116290    0.8851575    0.8435409    1.5444123 
## a_worker[55] a_worker[56] a_worker[57] a_worker[58] a_worker[59] a_worker[60] 
##    0.9333509    1.9360158    0.9998592    0.9844474    1.1348232    0.8604492 
## a_worker[61] a_worker[62] a_worker[63] a_worker[64] a_worker[65] a_worker[66] 
##    1.2599605    1.5890532    0.7018526    1.1210095    1.3613753    1.1447793 
## a_worker[67] a_worker[68] a_worker[69] a_worker[70] a_worker[71] a_worker[72] 
##    0.9553029    0.9538050    0.7855254    1.0017778    0.9192865    0.9732434 
## a_worker[73] a_worker[74] a_worker[75] a_worker[76] a_worker[77] a_worker[78] 
##    0.4913457    0.8736546    0.9925756    0.8968843    0.6227254    0.9340170 
## a_worker[79] a_worker[80] a_worker[81] a_worker[82] a_worker[83] a_worker[84] 
##    1.1074646    1.4538049    1.2012196    1.1015462    0.7657488    1.0537494 
## a_worker[85] a_worker[86] a_worker[87] a_worker[88] a_worker[89] a_worker[90] 
##    1.0269195    1.4950630    1.1138372    0.7308957    1.1760639    0.9774271 
##    a_spec[1]    a_spec[2]    a_spec[3]    a_spec[4]    a_spec[5]    a_spec[6] 
##    1.8680418    2.3200978    0.9138829    0.9685228    0.9659162    0.7939936 
##    a_spec[7]    a_spec[8]    a_spec[9]   a_spec[10]   a_spec[11]   a_spec[12] 
##    1.4820130    0.1466576    1.3253937    0.2861036    0.6994356    2.7701466 
##   a_spec[13]   a_spec[14]   a_spec[15]            a       bnoagg        bmean 
##    0.7389797    0.8118924    3.3378833    1.0234388    1.0645819    1.2159624 
##       btrial sigma_worker   sigma_spec 
##    0.9967779    1.5693017    2.4461468
## 105 vector or matrix parameters omitted in display. Use depth=2 to show them.
##        item         value
## 1    bnoagg  2.378249e-02
## 2    bnoagg -1.836837e-01
## 3    bnoagg  2.048361e-01
## 4    bnoagg  3.132291e-01
## 5    bnoagg -2.553755e-03
## 6    bnoagg  3.992789e-02
## 7    bnoagg  9.315147e-02
## 8    bnoagg  1.244863e-01
## 9    bnoagg -6.248207e-02
## 10   bnoagg -6.794239e-02
## 11   bnoagg  3.718299e-01
## 12   bnoagg  2.368651e-01
## 13   bnoagg  1.848713e-01
## 14   bnoagg -2.277066e-01
## 15   bnoagg  3.800091e-02
## 16   bnoagg  3.406166e-01
## 17   bnoagg -1.719569e-01
## 18   bnoagg  8.953619e-02
## 19   bnoagg  1.055602e-01
## 20   bnoagg  1.817440e-02
## 21   bnoagg -1.544493e-01
## 22   bnoagg  1.726138e-01
## 23   bnoagg  4.064241e-02
## 24   bnoagg  1.059747e-01
## 25   bnoagg  9.819356e-02
## 26   bnoagg -1.330655e-01
## 27   bnoagg  3.994140e-02
## 28   bnoagg  1.363516e-01
## 29   bnoagg  4.051032e-02
## 30   bnoagg -3.326679e-02
## 31   bnoagg  1.746923e-01
## 32   bnoagg -2.885323e-01
## 33   bnoagg -2.360157e-02
## 34   bnoagg  9.015212e-02
## 35   bnoagg  2.712936e-01
## 36   bnoagg  1.289933e-01
## 37   bnoagg  3.811947e-02
## 38   bnoagg -5.669782e-02
## 39   bnoagg -8.563751e-02
## 40   bnoagg  2.640458e-01
## 41   bnoagg  5.550277e-02
## 42   bnoagg  7.996829e-02
## 43   bnoagg -1.090641e-01
## 44   bnoagg -5.180900e-02
## 45   bnoagg  2.448623e-01
## 46   bnoagg  1.157423e-01
## 47   bnoagg  1.157595e-01
## 48   bnoagg  5.937297e-02
## 49   bnoagg  6.798480e-02
## 50   bnoagg  3.168082e-01
## 51   bnoagg  2.412991e-01
## 52   bnoagg  2.819756e-01
## 53   bnoagg  4.333840e-02
## 54   bnoagg  2.204326e-01
## 55   bnoagg -4.421278e-03
## 56   bnoagg  3.243801e-01
## 57   bnoagg  2.443919e-02
## 58   bnoagg -7.326561e-02
## 59   bnoagg  1.167076e-01
## 60   bnoagg  3.000442e-01
## 61   bnoagg  6.407432e-02
## 62   bnoagg  8.124872e-02
## 63   bnoagg  2.105292e-01
## 64   bnoagg -1.465004e-01
## 65   bnoagg -9.536538e-02
## 66   bnoagg  8.903688e-02
## 67   bnoagg -9.298787e-02
## 68   bnoagg -2.055467e-01
## 69   bnoagg  2.066764e-01
## 70   bnoagg  1.142879e-01
## 71   bnoagg -3.441330e-02
## 72   bnoagg  1.354069e-01
## 73   bnoagg  3.018861e-01
## 74   bnoagg  1.212066e-01
## 75   bnoagg  3.831864e-02
## 76   bnoagg -4.252531e-02
## 77   bnoagg -1.701181e-01
## 78   bnoagg  8.206388e-02
## 79   bnoagg  1.609319e-01
## 80   bnoagg  2.177459e-01
## 81   bnoagg  1.142965e-01
## 82   bnoagg  9.931053e-02
## 83   bnoagg  2.144706e-01
## 84   bnoagg  1.763716e-01
## 85   bnoagg -1.168425e-02
## 86   bnoagg -1.020906e-01
## 87   bnoagg  2.655609e-01
## 88   bnoagg -7.453186e-02
## 89   bnoagg -2.006289e-01
## 90   bnoagg -1.277166e-01
## 91   bnoagg  3.516670e-02
## 92   bnoagg  1.289291e-01
## 93   bnoagg  2.937417e-01
## 94   bnoagg  2.925122e-01
## 95   bnoagg  2.922576e-01
## 96   bnoagg  2.692097e-01
## 97   bnoagg  1.467080e-01
## 98   bnoagg  1.587270e-01
## 99   bnoagg  2.410461e-01
## 100  bnoagg  2.752348e-02
## 101  bnoagg  1.565402e-01
## 102  bnoagg -1.826703e-01
## 103  bnoagg  1.475711e-01
## 104  bnoagg -1.092373e-01
## 105  bnoagg -5.822293e-02
## 106  bnoagg -8.769639e-02
## 107  bnoagg  6.099073e-02
## 108  bnoagg  1.928870e-01
## 109  bnoagg  2.598338e-02
## 110  bnoagg  7.064053e-03
## 111  bnoagg  6.674574e-02
## 112  bnoagg -1.134932e-02
## 113  bnoagg -3.261853e-01
## 114  bnoagg  3.952537e-02
## 115  bnoagg  5.751233e-02
## 116  bnoagg  2.432229e-01
## 117  bnoagg  1.545705e-01
## 118  bnoagg -1.321426e-01
## 119  bnoagg  4.262532e-02
## 120  bnoagg -1.475241e-01
## 121  bnoagg  1.372629e-01
## 122  bnoagg  2.722127e-01
## 123  bnoagg -1.112791e-01
## 124  bnoagg  7.941606e-02
## 125  bnoagg -1.563203e-01
## 126  bnoagg  1.151913e-01
## 127  bnoagg  5.558524e-02
## 128  bnoagg  1.977725e-01
## 129  bnoagg -2.875728e-01
## 130  bnoagg  2.820595e-01
## 131  bnoagg -2.961592e-01
## 132  bnoagg  5.385884e-02
## 133  bnoagg  2.371976e-02
## 134  bnoagg -4.276040e-03
## 135  bnoagg -2.271984e-01
## 136  bnoagg -2.227397e-01
## 137  bnoagg  1.049983e-01
## 138  bnoagg  4.047383e-02
## 139  bnoagg  3.531467e-02
## 140  bnoagg  1.463910e-01
## 141  bnoagg  4.570426e-02
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## 1746 bnoagg -5.204260e-02
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## 1763 bnoagg  1.534176e-01
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## 1800 bnoagg  3.675244e-02
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## 1810 bnoagg  2.955358e-01
## 1811 bnoagg  1.469984e-01
## 1812 bnoagg  2.588579e-02
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## 1815 bnoagg  7.917672e-02
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## 1820 bnoagg -2.495540e-02
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## 1822 bnoagg  4.557481e-01
## 1823 bnoagg  1.927498e-01
## 1824 bnoagg  4.369686e-02
## 1825 bnoagg  2.131635e-01
## 1826 bnoagg -7.691934e-02
## 1827 bnoagg -1.069350e-03
## 1828 bnoagg -3.187062e-02
## 1829 bnoagg  1.961960e-01
## 1830 bnoagg  5.197328e-02
## 1831 bnoagg  2.457304e-01
## 1832 bnoagg  1.516521e-01
## 1833 bnoagg  1.912820e-01
## 1834 bnoagg  1.189852e-02
## 1835 bnoagg  1.809798e-01
## 1836 bnoagg  2.434048e-01
## 1837 bnoagg -3.274028e-02
## 1838 bnoagg  2.571902e-03
## 1839 bnoagg -3.027765e-02
## 1840 bnoagg  3.665799e-03
## 1841 bnoagg -1.270219e-01
## 1842 bnoagg -1.737469e-01
## 1843 bnoagg  1.448026e-01
## 1844 bnoagg  4.778922e-02
## 1845 bnoagg  1.899872e-01
## 1846 bnoagg  1.354392e-01
## 1847 bnoagg -1.565746e-01
## 1848 bnoagg  1.287250e-01
## 1849 bnoagg  8.051571e-02
## 1850 bnoagg -4.898812e-02
## 1851 bnoagg -2.064217e-04
## 1852 bnoagg  9.708354e-02
## 1853 bnoagg -7.453853e-03
## 1854 bnoagg  1.246570e-01
## 1855 bnoagg  2.271509e-01
## 1856 bnoagg  1.575063e-01
## 1857 bnoagg  1.134200e-01
## 1858 bnoagg  1.431888e-01
## 1859 bnoagg  4.308406e-02
## 1860 bnoagg  1.750170e-01
## 1861 bnoagg  4.754076e-02
## 1862 bnoagg  2.778923e-01
## 1863 bnoagg  1.241135e-01
## 1864 bnoagg -3.223875e-02
## 1865 bnoagg -1.441891e-01
## 1866 bnoagg  7.257498e-02
## 1867 bnoagg  8.160414e-04
## 1868 bnoagg -1.262667e-01
## 1869 bnoagg  9.768889e-02
## 1870 bnoagg  1.288234e-01
## 1871 bnoagg  4.101829e-01
## 1872 bnoagg -7.601609e-02
## 1873 bnoagg -2.504878e-02
## 1874 bnoagg  2.351020e-01
## 1875 bnoagg -8.131048e-03
## 1876 bnoagg  1.990800e-02
## 1877 bnoagg  8.715080e-03
## 1878 bnoagg  1.733658e-01
## 1879 bnoagg -8.893328e-02
## 1880 bnoagg  1.683190e-01
## 1881 bnoagg  2.202410e-01
## 1882 bnoagg  4.323615e-02
## 1883 bnoagg  1.782394e-01
## 1884 bnoagg  2.148959e-01
## 1885 bnoagg -4.269898e-02
## 1886 bnoagg -4.553350e-02
## 1887 bnoagg -4.913289e-02
## 1888 bnoagg  2.263831e-01
## 1889 bnoagg  1.614423e-01
## 1890 bnoagg  2.132137e-01
## 1891 bnoagg -1.029998e-01
## 1892 bnoagg  1.820050e-01
## 1893 bnoagg  2.406396e-01
## 1894 bnoagg  6.231028e-02
## 1895 bnoagg  1.129515e-01
## 1896 bnoagg  2.015351e-01
## 1897 bnoagg  4.676479e-01
## 1898 bnoagg  4.074446e-01
## 1899 bnoagg  1.830841e-01
## 1900 bnoagg  3.080024e-02
## 1901 bnoagg -8.393200e-02
## 1902 bnoagg -9.827591e-02
## 1903 bnoagg  6.319233e-02
## 1904 bnoagg -8.896763e-02
## 1905 bnoagg -1.793864e-01
## 1906 bnoagg  1.648368e-01
## 1907 bnoagg -5.532759e-02
## 1908 bnoagg -1.176164e-01
## 1909 bnoagg  1.893018e-02
## 1910 bnoagg  1.571052e-01
## 1911 bnoagg -1.313122e-01
## 1912 bnoagg -2.719086e-02
## 1913 bnoagg -5.078544e-02
## 1914 bnoagg  1.210673e-01
## 1915 bnoagg -1.335106e-01
## 1916 bnoagg  6.154890e-02
## 1917 bnoagg  3.813664e-01
## 1918 bnoagg  1.733092e-01
## 1919 bnoagg  4.699220e-02
## 1920 bnoagg  3.593529e-02
## 1921 bnoagg  1.586590e-02
## 1922 bnoagg  1.878376e-01
## 1923 bnoagg  2.104222e-01
## 1924 bnoagg -1.038516e-01
## 1925 bnoagg  4.062005e-02
## 1926 bnoagg -1.334006e-01
## 1927 bnoagg -1.753962e-01
## 1928 bnoagg -8.883392e-02
## 1929 bnoagg -1.181269e-01
## 1930 bnoagg -2.559548e-02
## 1931 bnoagg -1.040972e-01
## 1932 bnoagg  2.891062e-01
## 1933 bnoagg  2.586641e-01
## 1934 bnoagg  1.276957e-01
## 1935 bnoagg  3.598059e-01
## 1936 bnoagg  2.268267e-02
## 1937 bnoagg -1.060682e-01
## 1938 bnoagg  3.764451e-02
## 1939 bnoagg  2.785354e-03
## 1940 bnoagg  1.050662e-01
## 1941 bnoagg  2.339869e-01
## 1942 bnoagg  7.991134e-02
## 1943 bnoagg -7.375075e-02
## 1944 bnoagg -5.510990e-02
## 1945 bnoagg  2.686776e-01
## 1946 bnoagg  7.557064e-02
## 1947 bnoagg  3.281026e-01
## 1948 bnoagg  9.262060e-02
## 1949 bnoagg  1.140634e-01
## 1950 bnoagg  2.113760e-02
## 1951 bnoagg  3.200180e-02
## 1952 bnoagg  9.014448e-03
## 1953 bnoagg -3.017514e-02
## 1954 bnoagg  1.290360e-01
## 1955 bnoagg  1.403462e-02
## 1956 bnoagg  1.404496e-01
## 1957 bnoagg -3.500741e-02
## 1958 bnoagg  4.200957e-02
## 1959 bnoagg  1.662267e-01
## 1960 bnoagg  9.344116e-02
## 1961 bnoagg  4.398995e-02
## 1962 bnoagg  6.926571e-02
## 1963 bnoagg  2.568226e-01
## 1964 bnoagg  3.381193e-02
## 1965 bnoagg  2.060988e-01
## 1966 bnoagg  1.856937e-01
## 1967 bnoagg  1.494994e-01
## 1968 bnoagg  3.419492e-02
## 1969 bnoagg -3.911789e-02
## 1970 bnoagg  2.522606e-01
## 1971 bnoagg  1.542316e-01
## 1972 bnoagg  4.411225e-02
## 1973 bnoagg  7.942091e-02
## 1974 bnoagg -3.057522e-02
## 1975 bnoagg  7.499705e-02
## 1976 bnoagg -1.279844e-01
## 1977 bnoagg  6.654288e-02
## 1978 bnoagg  2.144068e-01
## 1979 bnoagg -1.140253e-01
## 1980 bnoagg  2.993443e-02
## 1981 bnoagg  8.649973e-02
## 1982 bnoagg  8.763298e-02
## 1983 bnoagg -5.664019e-02
## 1984 bnoagg -8.277188e-02
## 1985 bnoagg  6.442298e-02
## 1986 bnoagg  9.077469e-02
## 1987 bnoagg  1.966861e-01
## 1988 bnoagg  1.269059e-01
## 1989 bnoagg -4.101661e-02
## 1990 bnoagg -7.559447e-02
## 1991 bnoagg  4.045685e-02
## 1992 bnoagg  2.970488e-01
## 1993 bnoagg -1.332848e-01
## 1994 bnoagg  6.286378e-02
## 1995 bnoagg  2.812603e-02
## 1996 bnoagg  9.978991e-02
## 1997 bnoagg  2.212766e-01
## 1998 bnoagg  1.585882e-01
## 1999 bnoagg  1.922070e-01
## 2000 bnoagg  2.235907e-02
## 2001 bnoagg  1.400042e-01
## 2002 bnoagg  1.436419e-01
## 2003 bnoagg -3.173543e-02
## 2004 bnoagg  1.593722e-01
## 2005 bnoagg -4.067766e-02
## 2006 bnoagg  8.233186e-02
## 2007 bnoagg  2.881152e-01
## 2008 bnoagg  9.166813e-02
## 2009 bnoagg -6.473448e-02
## 2010 bnoagg  1.269504e-01
## 2011 bnoagg  4.136613e-02
## 2012 bnoagg -1.150618e-01
## 2013 bnoagg  1.168925e-01
## 2014 bnoagg  1.427407e-01
## 2015 bnoagg  5.743796e-02
## 2016 bnoagg -1.067840e-01
## 2017 bnoagg -2.787091e-01
## 2018 bnoagg  1.256059e-01
## 2019 bnoagg  2.692387e-01
## 2020 bnoagg -2.207292e-01
## 2021 bnoagg  1.332384e-01
## 2022 bnoagg  2.200533e-03
## 2023 bnoagg  1.288018e-01
## 2024 bnoagg  3.779156e-03
## 2025 bnoagg  6.302824e-02
## 2026 bnoagg  1.146187e-01
## 2027 bnoagg -1.212280e-01
## 2028 bnoagg  1.830403e-01
## 2029 bnoagg  4.315768e-02
## 2030 bnoagg -5.175559e-02
## 2031 bnoagg  2.866307e-01
## 2032 bnoagg  2.083592e-01
## 2033 bnoagg -6.616682e-02
## 2034 bnoagg  1.553370e-01
## 2035 bnoagg -4.101054e-03
## 2036 bnoagg  4.769627e-02
## 2037 bnoagg  1.277079e-01
## 2038 bnoagg  9.373543e-02
## 2039 bnoagg  1.768849e-01
## 2040 bnoagg  1.681504e-02
## 2041 bnoagg -4.069801e-02
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## 2046 bnoagg  1.249895e-01
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## 2062 bnoagg  1.324795e-01
## 2063 bnoagg -1.954243e-01
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## 2068 bnoagg  1.998760e-01
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## 2092 bnoagg -8.048078e-02
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## 7981  bmean  1.713035e-01
## 7982  bmean  9.127985e-02
## 7983  bmean  1.579599e-01
## 7984  bmean  3.998920e-01
## 7985  bmean  2.467630e-01
## 7986  bmean  1.057272e-03
## 7987  bmean  1.484126e-01
## 7988  bmean  1.348185e-01
## 7989  bmean  1.536386e-01
## 7990  bmean  3.138719e-01
## 7991  bmean  2.654866e-01
## 7992  bmean  2.440315e-01
## 7993  bmean  1.494629e-01
## 7994  bmean  2.764597e-01
## 7995  bmean  7.785096e-02
## 7996  bmean  3.932386e-01
## 7997  bmean -3.476736e-02
## 7998  bmean  1.781756e-01
## 7999  bmean  3.929655e-01
## 8000  bmean  2.664662e-01
## 105 vector or matrix parameters omitted in display. Use depth=2 to show them.
##        item         value
## 1    bnoagg  2.378249e-02
## 2    bnoagg -1.836837e-01
## 3    bnoagg  2.048361e-01
## 4    bnoagg  3.132291e-01
## 5    bnoagg -2.553755e-03
## 6    bnoagg  3.992789e-02
## 7    bnoagg  9.315147e-02
## 8    bnoagg  1.244863e-01
## 9    bnoagg -6.248207e-02
## 10   bnoagg -6.794239e-02
## 11   bnoagg  3.718299e-01
## 12   bnoagg  2.368651e-01
## 13   bnoagg  1.848713e-01
## 14   bnoagg -2.277066e-01
## 15   bnoagg  3.800091e-02
## 16   bnoagg  3.406166e-01
## 17   bnoagg -1.719569e-01
## 18   bnoagg  8.953619e-02
## 19   bnoagg  1.055602e-01
## 20   bnoagg  1.817440e-02
## 21   bnoagg -1.544493e-01
## 22   bnoagg  1.726138e-01
## 23   bnoagg  4.064241e-02
## 24   bnoagg  1.059747e-01
## 25   bnoagg  9.819356e-02
## 26   bnoagg -1.330655e-01
## 27   bnoagg  3.994140e-02
## 28   bnoagg  1.363516e-01
## 29   bnoagg  4.051032e-02
## 30   bnoagg -3.326679e-02
## 31   bnoagg  1.746923e-01
## 32   bnoagg -2.885323e-01
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## 34   bnoagg  9.015212e-02
## 35   bnoagg  2.712936e-01
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## 37   bnoagg  3.811947e-02
## 38   bnoagg -5.669782e-02
## 39   bnoagg -8.563751e-02
## 40   bnoagg  2.640458e-01
## 41   bnoagg  5.550277e-02
## 42   bnoagg  7.996829e-02
## 43   bnoagg -1.090641e-01
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## 49   bnoagg  6.798480e-02
## 50   bnoagg  3.168082e-01
## 51   bnoagg  2.412991e-01
## 52   bnoagg  2.819756e-01
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## 57   bnoagg  2.443919e-02
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## 59   bnoagg  1.167076e-01
## 60   bnoagg  3.000442e-01
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## 80   bnoagg  2.177459e-01
## 81   bnoagg  1.142965e-01
## 82   bnoagg  9.931053e-02
## 83   bnoagg  2.144706e-01
## 84   bnoagg  1.763716e-01
## 85   bnoagg -1.168425e-02
## 86   bnoagg -1.020906e-01
## 87   bnoagg  2.655609e-01
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## 101  bnoagg  1.565402e-01
## 102  bnoagg -1.826703e-01
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## 105  bnoagg -5.822293e-02
## 106  bnoagg -8.769639e-02
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## 111  bnoagg  6.674574e-02
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## 117  bnoagg  1.545705e-01
## 118  bnoagg -1.321426e-01
## 119  bnoagg  4.262532e-02
## 120  bnoagg -1.475241e-01
## 121  bnoagg  1.372629e-01
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## 123  bnoagg -1.112791e-01
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## 125  bnoagg -1.563203e-01
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## 128  bnoagg  1.977725e-01
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## 148  bnoagg  1.587036e-01
## 149  bnoagg  1.281470e-01
## 150  bnoagg -1.687715e-01
## 151  bnoagg  9.181429e-02
## 152  bnoagg  5.361766e-03
## 153  bnoagg  7.580080e-03
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## 155  bnoagg  1.068119e-01
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## 157  bnoagg  2.791330e-01
## 158  bnoagg  1.643455e-01
## 159  bnoagg  7.453866e-02
## 160  bnoagg  3.439989e-01
## 161  bnoagg  1.811032e-01
## 162  bnoagg  1.755518e-01
## 163  bnoagg -1.748016e-01
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## 165  bnoagg  4.352444e-02
## 166  bnoagg  6.977217e-03
## 167  bnoagg  2.728808e-01
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## 170  bnoagg  1.613152e-01
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## 172  bnoagg -8.711362e-02
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## 1923 bnoagg  2.104222e-01
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## 1925 bnoagg  4.062005e-02
## 1926 bnoagg -1.334006e-01
## 1927 bnoagg -1.753962e-01
## 1928 bnoagg -8.883392e-02
## 1929 bnoagg -1.181269e-01
## 1930 bnoagg -2.559548e-02
## 1931 bnoagg -1.040972e-01
## 1932 bnoagg  2.891062e-01
## 1933 bnoagg  2.586641e-01
## 1934 bnoagg  1.276957e-01
## 1935 bnoagg  3.598059e-01
## 1936 bnoagg  2.268267e-02
## 1937 bnoagg -1.060682e-01
## 1938 bnoagg  3.764451e-02
## 1939 bnoagg  2.785354e-03
## 1940 bnoagg  1.050662e-01
## 1941 bnoagg  2.339869e-01
## 1942 bnoagg  7.991134e-02
## 1943 bnoagg -7.375075e-02
## 1944 bnoagg -5.510990e-02
## 1945 bnoagg  2.686776e-01
## 1946 bnoagg  7.557064e-02
## 1947 bnoagg  3.281026e-01
## 1948 bnoagg  9.262060e-02
## 1949 bnoagg  1.140634e-01
## 1950 bnoagg  2.113760e-02
## 1951 bnoagg  3.200180e-02
## 1952 bnoagg  9.014448e-03
## 1953 bnoagg -3.017514e-02
## 1954 bnoagg  1.290360e-01
## 1955 bnoagg  1.403462e-02
## 1956 bnoagg  1.404496e-01
## 1957 bnoagg -3.500741e-02
## 1958 bnoagg  4.200957e-02
## 1959 bnoagg  1.662267e-01
## 1960 bnoagg  9.344116e-02
## 1961 bnoagg  4.398995e-02
## 1962 bnoagg  6.926571e-02
## 1963 bnoagg  2.568226e-01
## 1964 bnoagg  3.381193e-02
## 1965 bnoagg  2.060988e-01
## 1966 bnoagg  1.856937e-01
## 1967 bnoagg  1.494994e-01
## 1968 bnoagg  3.419492e-02
## 1969 bnoagg -3.911789e-02
## 1970 bnoagg  2.522606e-01
## 1971 bnoagg  1.542316e-01
## 1972 bnoagg  4.411225e-02
## 1973 bnoagg  7.942091e-02
## 1974 bnoagg -3.057522e-02
## 1975 bnoagg  7.499705e-02
## 1976 bnoagg -1.279844e-01
## 1977 bnoagg  6.654288e-02
## 1978 bnoagg  2.144068e-01
## 1979 bnoagg -1.140253e-01
## 1980 bnoagg  2.993443e-02
## 1981 bnoagg  8.649973e-02
## 1982 bnoagg  8.763298e-02
## 1983 bnoagg -5.664019e-02
## 1984 bnoagg -8.277188e-02
## 1985 bnoagg  6.442298e-02
## 1986 bnoagg  9.077469e-02
## 1987 bnoagg  1.966861e-01
## 1988 bnoagg  1.269059e-01
## 1989 bnoagg -4.101661e-02
## 1990 bnoagg -7.559447e-02
## 1991 bnoagg  4.045685e-02
## 1992 bnoagg  2.970488e-01
## 1993 bnoagg -1.332848e-01
## 1994 bnoagg  6.286378e-02
## 1995 bnoagg  2.812603e-02
## 1996 bnoagg  9.978991e-02
## 1997 bnoagg  2.212766e-01
## 1998 bnoagg  1.585882e-01
## 1999 bnoagg  1.922070e-01
## 2000 bnoagg  2.235907e-02
## 2001 bnoagg  1.400042e-01
## 2002 bnoagg  1.436419e-01
## 2003 bnoagg -3.173543e-02
## 2004 bnoagg  1.593722e-01
## 2005 bnoagg -4.067766e-02
## 2006 bnoagg  8.233186e-02
## 2007 bnoagg  2.881152e-01
## 2008 bnoagg  9.166813e-02
## 2009 bnoagg -6.473448e-02
## 2010 bnoagg  1.269504e-01
## 2011 bnoagg  4.136613e-02
## 2012 bnoagg -1.150618e-01
## 2013 bnoagg  1.168925e-01
## 2014 bnoagg  1.427407e-01
## 2015 bnoagg  5.743796e-02
## 2016 bnoagg -1.067840e-01
## 2017 bnoagg -2.787091e-01
## 2018 bnoagg  1.256059e-01
## 2019 bnoagg  2.692387e-01
## 2020 bnoagg -2.207292e-01
## 2021 bnoagg  1.332384e-01
## 2022 bnoagg  2.200533e-03
## 2023 bnoagg  1.288018e-01
## 2024 bnoagg  3.779156e-03
## 2025 bnoagg  6.302824e-02
## 2026 bnoagg  1.146187e-01
## 2027 bnoagg -1.212280e-01
## 2028 bnoagg  1.830403e-01
## 2029 bnoagg  4.315768e-02
## 2030 bnoagg -5.175559e-02
## 2031 bnoagg  2.866307e-01
## 2032 bnoagg  2.083592e-01
## 2033 bnoagg -6.616682e-02
## 2034 bnoagg  1.553370e-01
## 2035 bnoagg -4.101054e-03
## 2036 bnoagg  4.769627e-02
## 2037 bnoagg  1.277079e-01
## 2038 bnoagg  9.373543e-02
## 2039 bnoagg  1.768849e-01
## 2040 bnoagg  1.681504e-02
## 2041 bnoagg -4.069801e-02
## 2042 bnoagg -5.199544e-02
## 2043 bnoagg  1.217835e-01
## 2044 bnoagg  8.873313e-02
## 2045 bnoagg  2.222411e-01
## 2046 bnoagg  1.249895e-01
## 2047 bnoagg  1.131684e-01
## 2048 bnoagg  1.601520e-01
## 2049 bnoagg -8.583849e-02
## 2050 bnoagg  3.630843e-01
## 2051 bnoagg -5.586853e-03
## 2052 bnoagg  2.301006e-01
## 2053 bnoagg  4.032510e-02
## 2054 bnoagg  2.026526e-01
## 2055 bnoagg  2.147032e-01
## 2056 bnoagg  3.153749e-01
## 2057 bnoagg  3.457459e-01
## 2058 bnoagg -1.427225e-01
## 2059 bnoagg -6.552646e-02
## 2060 bnoagg -1.328815e-01
## 2061 bnoagg  9.990204e-02
## 2062 bnoagg  1.324795e-01
## 2063 bnoagg -1.954243e-01
## 2064 bnoagg  1.865877e-01
## 2065 bnoagg  2.095225e-01
## 2066 bnoagg -2.975270e-01
## 2067 bnoagg -1.516464e-01
## 2068 bnoagg  1.998760e-01
## 2069 bnoagg  8.929027e-02
## 2070 bnoagg  1.010291e-01
## 2071 bnoagg -2.009928e-02
## 2072 bnoagg  1.374054e-01
## 2073 bnoagg  8.176797e-02
## 2074 bnoagg  1.092398e-01
## 2075 bnoagg  2.462933e-01
## 2076 bnoagg  3.507477e-03
## 2077 bnoagg  1.943071e-01
## 2078 bnoagg  1.709543e-01
## 2079 bnoagg -3.542896e-02
## 2080 bnoagg -9.021163e-03
## 2081 bnoagg -9.526728e-02
## 2082 bnoagg  4.497458e-02
## 2083 bnoagg  7.683551e-02
## 2084 bnoagg  5.364009e-02
## 2085 bnoagg  1.616836e-02
## 2086 bnoagg -1.671286e-02
## 2087 bnoagg -1.028478e-01
## 2088 bnoagg  1.249713e-01
## 2089 bnoagg  7.150229e-02
## 2090 bnoagg  2.221138e-01
## 2091 bnoagg  1.434934e-01
## 2092 bnoagg -8.048078e-02
## 2093 bnoagg -5.555861e-03
## 2094 bnoagg  2.397859e-01
## 2095 bnoagg -1.357759e-01
## 2096 bnoagg  7.098852e-02
## 2097 bnoagg  3.531492e-01
## 2098 bnoagg -1.543383e-01
## 2099 bnoagg -9.198272e-02
## 2100 bnoagg  7.373560e-03
## 2101 bnoagg  1.284441e-01
## 2102 bnoagg -3.461141e-02
## 2103 bnoagg -8.951223e-03
## 2104 bnoagg -3.374344e-01
## 2105 bnoagg  1.890590e-01
## 2106 bnoagg  1.984925e-02
## 2107 bnoagg  1.306495e-02
## 2108 bnoagg  3.235720e-02
## 2109 bnoagg  2.276564e-02
## 2110 bnoagg  6.302158e-02
## 2111 bnoagg  1.581010e-01
## 2112 bnoagg  1.853493e-01
## 2113 bnoagg -8.889682e-02
## 2114 bnoagg  1.250005e-01
## 2115 bnoagg -1.379355e-01
## 2116 bnoagg  2.056243e-01
## 2117 bnoagg  6.749093e-02
## 2118 bnoagg  4.542776e-02
## 2119 bnoagg  3.494176e-02
## 2120 bnoagg -3.419775e-02
## 2121 bnoagg  5.859573e-02
## 2122 bnoagg -3.477366e-02
## 2123 bnoagg  4.986403e-02
## 2124 bnoagg  2.118976e-01
## 2125 bnoagg  4.374179e-02
## 2126 bnoagg -5.767269e-02
## 2127 bnoagg  1.527579e-01
## 2128 bnoagg  1.643588e-01
## 2129 bnoagg  3.098391e-02
## 2130 bnoagg  3.289996e-01
## 2131 bnoagg  3.181198e-02
## 2132 bnoagg -5.180515e-03
## 2133 bnoagg -3.652679e-02
## 2134 bnoagg -3.391999e-02
## 2135 bnoagg -1.722808e-01
## 2136 bnoagg  2.632618e-02
## 2137 bnoagg -4.419119e-03
## 2138 bnoagg -1.093854e-01
## 2139 bnoagg -1.022671e-01
## 2140 bnoagg -1.591633e-01
## 2141 bnoagg  3.208478e-01
## 2142 bnoagg  1.704145e-02
## 2143 bnoagg -7.135086e-02
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## 2145 bnoagg  2.783652e-01
## 2146 bnoagg -1.632952e-01
## 2147 bnoagg -6.063340e-02
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## 2149 bnoagg  2.331751e-01
## 2150 bnoagg  7.090037e-03
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## 2154 bnoagg -2.881171e-02
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## 2157 bnoagg -1.402218e-01
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## 2181 bnoagg  4.180498e-02
## 2182 bnoagg -1.557693e-01
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## 2184 bnoagg -1.130424e-02
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## 2187 bnoagg  3.348163e-02
## 2188 bnoagg  8.132500e-02
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## 2190 bnoagg  1.340152e-01
## 2191 bnoagg -3.466497e-02
## 2192 bnoagg -1.733112e-02
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## 2194 bnoagg  3.685418e-01
## 2195 bnoagg -7.070550e-02
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## 2204 bnoagg  2.041842e-01
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## 2239 bnoagg  1.746564e-01
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## 2243 bnoagg  3.364165e-01
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## 2245 bnoagg  1.496154e-01
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## 7819  bmean  4.098799e-01
## 7820  bmean  2.036451e-01
## 7821  bmean  4.094954e-01
## 7822  bmean  1.193511e-01
## 7823  bmean  2.877526e-01
## 7824  bmean  2.001925e-01
## 7825  bmean  1.858775e-01
## 7826  bmean  6.760701e-02
## 7827  bmean  4.012181e-02
## 7828  bmean  2.487913e-02
## 7829  bmean  1.105346e-01
## 7830  bmean -5.505088e-03
## 7831  bmean  6.181302e-02
## 7832  bmean  3.781522e-02
## 7833  bmean  2.005219e-01
## 7834  bmean  1.057083e-02
## 7835  bmean  2.260046e-01
## 7836  bmean  1.839687e-01
## 7837  bmean  8.396503e-02
## 7838  bmean  1.900540e-01
## 7839  bmean  2.505994e-01
## 7840  bmean  3.294846e-01
## 7841  bmean -2.541879e-02
## 7842  bmean  3.289172e-01
## 7843  bmean  2.243426e-01
## 7844  bmean -3.484219e-02
## 7845  bmean  6.594742e-01
## 7846  bmean  2.855210e-01
## 7847  bmean  2.034303e-01
## 7848  bmean -1.029852e-01
## 7849  bmean  2.111889e-01
## 7850  bmean  2.051769e-01
## 7851  bmean  3.169919e-02
## 7852  bmean  2.383421e-01
## 7853  bmean  2.096138e-01
## 7854  bmean  2.622491e-01
## 7855  bmean  2.852518e-01
## 7856  bmean  1.645783e-01
## 7857  bmean  1.888933e-01
## 7858  bmean -6.092666e-02
## 7859  bmean  2.270508e-01
## 7860  bmean  2.404077e-01
## 7861  bmean  1.837936e-01
## 7862  bmean  2.477192e-01
## 7863  bmean  1.132779e-01
## 7864  bmean  3.363896e-01
## 7865  bmean  1.536860e-01
## 7866  bmean -1.642922e-01
## 7867  bmean -2.570298e-02
## 7868  bmean  2.037687e-01
## 7869  bmean  2.937420e-01
## 7870  bmean  3.524002e-01
## 7871  bmean  2.195254e-01
## 7872  bmean  3.408924e-01
## 7873  bmean  1.654668e-02
## 7874  bmean  2.124953e-01
## 7875  bmean  2.882180e-01
## 7876  bmean  2.407389e-01
## 7877  bmean  7.157662e-02
## 7878  bmean  4.357251e-01
## 7879  bmean  1.621297e-01
## 7880  bmean  2.200469e-01
## 7881  bmean  3.171182e-01
## 7882  bmean  3.522449e-01
## 7883  bmean  1.149593e-01
## 7884  bmean  2.525284e-01
## 7885  bmean  1.713262e-01
## 7886  bmean -6.173709e-03
## 7887  bmean  4.821847e-02
## 7888  bmean  1.693608e-01
## 7889  bmean  2.347117e-01
## 7890  bmean  1.899006e-01
## 7891  bmean  2.972625e-01
## 7892  bmean  1.351154e-01
## 7893  bmean  4.152531e-01
## 7894  bmean  3.005824e-02
## 7895  bmean  1.700955e-01
## 7896  bmean  2.494720e-01
## 7897  bmean  1.479823e-01
## 7898  bmean  3.866119e-01
## 7899  bmean  5.741419e-02
## 7900  bmean  1.541068e-01
## 7901  bmean  2.993590e-01
## 7902  bmean  2.696031e-01
## 7903  bmean  3.044603e-01
## 7904  bmean -1.868929e-03
## 7905  bmean  1.338147e-01
## 7906  bmean  1.707667e-01
## 7907  bmean  3.784222e-01
## 7908  bmean  3.300274e-01
## 7909  bmean  2.001990e-01
## 7910  bmean  2.998551e-01
## 7911  bmean  2.815554e-01
## 7912  bmean  8.806788e-02
## 7913  bmean -5.182070e-02
## 7914  bmean  2.759801e-01
## 7915  bmean  2.432075e-01
## 7916  bmean  1.719697e-01
## 7917  bmean  2.763671e-01
## 7918  bmean  1.144367e-01
## 7919  bmean  2.695705e-03
## 7920  bmean  1.373148e-01
## 7921  bmean  2.800202e-01
## 7922  bmean  4.289059e-01
## 7923  bmean  8.842923e-02
## 7924  bmean  7.163319e-02
## 7925  bmean  1.011521e-01
## 7926  bmean  2.595947e-02
## 7927  bmean  3.219451e-01
## 7928  bmean  2.946553e-01
## 7929  bmean  1.083049e-01
## 7930  bmean -1.102152e-01
## 7931  bmean  2.813445e-01
## 7932  bmean  5.945859e-02
## 7933  bmean  1.370019e-01
## 7934  bmean  3.256948e-01
## 7935  bmean  3.504335e-01
## 7936  bmean  4.545265e-02
## 7937  bmean -7.726174e-02
## 7938  bmean  5.464876e-01
## 7939  bmean  1.839121e-01
## 7940  bmean  4.655810e-01
## 7941  bmean  9.572546e-03
## 7942  bmean  1.105758e-01
## 7943  bmean  2.569766e-01
## 7944  bmean  4.721014e-01
## 7945  bmean  5.575000e-02
## 7946  bmean  2.334004e-01
## 7947  bmean  2.909926e-01
## 7948  bmean  2.764109e-01
## 7949  bmean  2.636239e-01
## 7950  bmean  1.784173e-01
## 7951  bmean  2.191269e-01
## 7952  bmean  9.381597e-02
## 7953  bmean  1.974785e-01
## 7954  bmean  1.052133e-01
## 7955  bmean  1.535925e-01
## 7956  bmean  1.841442e-01
## 7957  bmean  3.015335e-01
## 7958  bmean  2.733838e-01
## 7959  bmean  1.130706e-01
## 7960  bmean  3.294277e-01
## 7961  bmean  1.993811e-01
## 7962  bmean  1.464810e-01
## 7963  bmean  2.455660e-01
## 7964  bmean  1.049968e-01
## 7965  bmean  6.726027e-02
## 7966  bmean  4.021012e-01
## 7967  bmean  2.528404e-01
## 7968  bmean  4.489721e-01
## 7969  bmean  1.934437e-01
## 7970  bmean  1.427694e-01
## 7971  bmean  2.110306e-01
## 7972  bmean  1.608727e-01
## 7973  bmean  3.410170e-01
## 7974  bmean -2.309307e-02
## 7975  bmean  1.496892e-01
## 7976  bmean  1.506026e-01
## 7977  bmean  3.619325e-01
## 7978  bmean  3.149212e-01
## 7979  bmean  3.285861e-02
## 7980  bmean  5.046579e-01
## 7981  bmean  1.713035e-01
## 7982  bmean  9.127985e-02
## 7983  bmean  1.579599e-01
## 7984  bmean  3.998920e-01
## 7985  bmean  2.467630e-01
## 7986  bmean  1.057272e-03
## 7987  bmean  1.484126e-01
## 7988  bmean  1.348185e-01
## 7989  bmean  1.536386e-01
## 7990  bmean  3.138719e-01
## 7991  bmean  2.654866e-01
## 7992  bmean  2.440315e-01
## 7993  bmean  1.494629e-01
## 7994  bmean  2.764597e-01
## 7995  bmean  7.785096e-02
## 7996  bmean  3.932386e-01
## 7997  bmean -3.476736e-02
## 7998  bmean  1.781756e-01
## 7999  bmean  3.929655e-01
## 8000  bmean  2.664662e-01

First Trial Accuracy

It is possible that there is a learning effect, or our choice of mark type led participants to focus on a particular stimulus over another. As a result, we analyze accuracy by aggregation strategy and generalization class for the first trial of each particiapnt to better understand the extent of this effect. We find that there appears to be a small difference between the disaggregated+mean and other conditions, although results are not reliably different.

df_50[df_50$trial==1,] %>%
   ddply(c("aggStrat", "insightClass"), summarise, 
     Correct=sum(correct==TRUE), 
     Incorrect=sum(correct==FALSE), 
     Accuracy=Correct/(Incorrect+Correct), 
     Total=Incorrect+Correct)
##       aggStrat insightClass Correct Incorrect  Accuracy Total
## 1       disagg  correlation       2         2 0.5000000     4
## 2       disagg         mean       1         1 0.5000000     2
## 3       disagg         rank       1         8 0.1111111     9
## 4       disagg        shape      17        13 0.5666667    30
## 5  disagg+mean  correlation       3         0 1.0000000     3
## 6  disagg+mean         mean       4         7 0.3636364    11
## 7  disagg+mean         rank       1         0 1.0000000     1
## 8  disagg+mean        shape      12        12 0.5000000    24
## 9         mean  correlation       1         2 0.3333333     3
## 10        mean         mean       5        11 0.3125000    16
## 11        mean         rank       0         8 0.0000000     8
## 12        mean        shape       3         1 0.7500000     4

# Gives us 80 observations, since 10 participants didn't make observations on tthe first trial
df_50_firstTrial_facetWorker_stats <- df_50[df_50$trial==1,] %>%
   ddply(.(aggStrat, workerId), summarise, 
         Correct=sum(correct==TRUE), 
         Incorrect=sum(correct==FALSE),
         PercCorrect=Correct/(Incorrect+Correct), 
         Total=Incorrect+Correct) %>%
   ddply(~aggStrat, summarise,
         N = sum((Total)),
         meanAcc = mean(PercCorrect),
         sd = sd(PercCorrect),
         se = sd / sqrt(N))
df_50_firstTrial_facetWorker_stats
##      aggStrat  N   meanAcc        sd         se
## 1      disagg 45 0.4848485 0.4590215 0.06842689
## 2 disagg+mean 39 0.5595238 0.4586038 0.07343538
## 3        mean 31 0.2800000 0.4349329 0.07811626

Confidence

A summary of reported confidence from participants. We first investigate general summary statistics for confidence taking into account individual differences between participants. We find that between aggregation strategies, there are small differences in total mean confidence. Compared to E1, we find that the avg confidence for the disaggregation+mean condition increases slightly - disaggregation - 68%, disaggregation+mean - 75%, mean - 74%. Compare to E1: disaggregation - 67%, disaggregation+mean - 69%, mean - 72%.

Confidence by Participant - Aggregation Strategy combination

df_50 %>% 
   ddply(.(aggStrat, workerId), summarise, ## to get confidence per participant
         N = sum(correct==TRUE, na.rm=TRUE) + sum(correct==FALSE, na.rm=TRUE),
         correct = sum(correct==TRUE),
         meanConf = mean(confidence, na.rm=TRUE),
         sd = sd(confidence),
         se = sd / sqrt(N)) %>%
   ddply(~aggStrat, summarise, ## then to average the average confidence per participant
      Total = sum(N), 
      correct = sum(correct, na.rm=TRUE),
      meanTotalConf = mean(meanConf, na.rm=TRUE),
      sdTotal = sd(meanConf),
      seTotal = sdTotal / sqrt(Total))
##      aggStrat Total correct meanTotalConf  sdTotal   seTotal
## 1      disagg   550     277      67.91896 16.71986 0.7129372
## 2 disagg+mean   558     303      74.69777 14.77752 0.6255824
## 3        mean   500     249      73.74947 17.53188 0.7840493
## Warning: Removed 2 rows containing missing values (geom_errorbar).

Confidence Bayesian Model

We examine how aggregation strategy impacts confidence by again running a Bayesian hierarchical model. We find that there is an effect of the mean aggregation condition on confidence compared to the disaggregated and disaggregated with means condition.

## 105 vector or matrix parameters omitted in display. Use depth=2 to show them.
##              Mean   StdDev lower 0.95 upper 0.95    n_eff     Rhat
## bnoagg -6.0551346 1.385323  -8.858803  -3.445955 1993.206 1.001268
## bmean   0.8267635 1.341236  -1.947706   3.263343 1995.880 1.001123
## 105 vector or matrix parameters omitted in display. Use depth=2 to show them.
##        item         value
## 1    bnoagg -5.453509e+00
## 2    bnoagg -5.668354e+00
## 3    bnoagg -5.441975e+00
## 4    bnoagg -5.229288e+00
## 5    bnoagg -6.520777e+00
## 6    bnoagg -7.256641e+00
## 7    bnoagg -6.856671e+00
## 8    bnoagg -5.613781e+00
## 9    bnoagg -8.000266e+00
## 10   bnoagg -5.645590e+00
## 11   bnoagg -6.536677e+00
## 12   bnoagg -6.384889e+00
## 13   bnoagg -6.288214e+00
## 14   bnoagg -4.945556e+00
## 15   bnoagg -5.304813e+00
## 16   bnoagg -8.091874e+00
## 17   bnoagg -5.348548e+00
## 18   bnoagg -7.099803e+00
## 19   bnoagg -4.878160e+00
## 20   bnoagg -6.141195e+00
## 21   bnoagg -6.344291e+00
## 22   bnoagg -7.165282e+00
## 23   bnoagg -5.358628e+00
## 24   bnoagg -5.280029e+00
## 25   bnoagg -6.845823e+00
## 26   bnoagg -5.402610e+00
## 27   bnoagg -5.406534e+00
## 28   bnoagg -4.838580e+00
## 29   bnoagg -7.089899e+00
## 30   bnoagg -6.427036e+00
## 31   bnoagg -6.256301e+00
## 32   bnoagg -3.841799e+00
## 33   bnoagg -6.859292e+00
## 34   bnoagg -5.021302e+00
## 35   bnoagg -4.759227e+00
## 36   bnoagg -6.204855e+00
## 37   bnoagg -7.676825e+00
## 38   bnoagg -6.091494e+00
## 39   bnoagg -5.327779e+00
## 40   bnoagg -5.779122e+00
## 41   bnoagg -5.686016e+00
## 42   bnoagg -6.237766e+00
## 43   bnoagg -3.884842e+00
## 44   bnoagg -5.029247e+00
## 45   bnoagg -4.386142e+00
## 46   bnoagg -5.032621e+00
## 47   bnoagg -5.162260e+00
## 48   bnoagg -5.244057e+00
## 49   bnoagg -5.634962e+00
## 50   bnoagg -5.761595e+00
## 51   bnoagg -6.752458e+00
## 52   bnoagg -6.598371e+00
## 53   bnoagg -6.999440e+00
## 54   bnoagg -6.073726e+00
## 55   bnoagg -7.452686e+00
## 56   bnoagg -6.090303e+00
## 57   bnoagg -4.261105e+00
## 58   bnoagg -5.252066e+00
## 59   bnoagg -6.845446e+00
## 60   bnoagg -7.303224e+00
## 61   bnoagg -5.418497e+00
## 62   bnoagg -4.506028e+00
## 63   bnoagg -6.101357e+00
## 64   bnoagg -6.389058e+00
## 65   bnoagg -4.454603e+00
## 66   bnoagg -5.874345e+00
## 67   bnoagg -7.103167e+00
## 68   bnoagg -6.194619e+00
## 69   bnoagg -6.755652e+00
## 70   bnoagg -6.992995e+00
## 71   bnoagg -5.780113e+00
## 72   bnoagg -6.209785e+00
## 73   bnoagg -7.083205e+00
## 74   bnoagg -5.593447e+00
## 75   bnoagg -5.652143e+00
## 76   bnoagg -7.163031e+00
## 77   bnoagg -6.373762e+00
## 78   bnoagg -3.174306e+00
## 79   bnoagg -5.639921e+00
## 80   bnoagg -5.288586e+00
## 81   bnoagg -5.579051e+00
## 82   bnoagg -3.338550e+00
## 83   bnoagg -6.076119e+00
## 84   bnoagg -4.322855e+00
## 85   bnoagg -6.767919e+00
## 86   bnoagg -6.124323e+00
## 87   bnoagg -4.781816e+00
## 88   bnoagg -3.998381e+00
## 89   bnoagg -5.955715e+00
## 90   bnoagg -5.219641e+00
## 91   bnoagg -5.535073e+00
## 92   bnoagg -8.938900e+00
## 93   bnoagg -7.192198e+00
## 94   bnoagg -5.786634e+00
## 95   bnoagg -5.232008e+00
## 96   bnoagg -6.703945e+00
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## 98   bnoagg -3.061802e+00
## 99   bnoagg -6.203525e+00
## 100  bnoagg -6.715282e+00
## 101  bnoagg -5.258746e+00
## 102  bnoagg -8.235212e+00
## 103  bnoagg -4.101476e+00
## 104  bnoagg -7.758919e+00
## 105  bnoagg -6.933425e+00
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## 109  bnoagg -7.208526e+00
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## 111  bnoagg -5.511984e+00
## 112  bnoagg -8.172531e+00
## 113  bnoagg -5.276994e+00
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## 115  bnoagg -5.128628e+00
## 116  bnoagg -6.194034e+00
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## 120  bnoagg -5.683104e+00
## 121  bnoagg -6.875479e+00
## 122  bnoagg -4.056209e+00
## 123  bnoagg -5.638111e+00
## 124  bnoagg -6.995451e+00
## 125  bnoagg -7.690978e+00
## 126  bnoagg -7.369754e+00
## 127  bnoagg -2.867506e+00
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## 129  bnoagg -4.846518e+00
## 130  bnoagg -3.909574e+00
## 131  bnoagg -7.211403e+00
## 132  bnoagg -6.045582e+00
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## 134  bnoagg -6.779179e+00
## 135  bnoagg -5.374679e+00
## 136  bnoagg -5.690761e+00
## 137  bnoagg -6.292353e+00
## 138  bnoagg -8.296579e+00
## 139  bnoagg -7.003409e+00
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## 141  bnoagg -4.410821e+00
## 142  bnoagg -6.195219e+00
## 143  bnoagg -6.221633e+00
## 144  bnoagg -9.239145e+00
## 145  bnoagg -5.667170e+00
## 146  bnoagg -4.490379e+00
## 147  bnoagg -6.944874e+00
## 148  bnoagg -3.674685e+00
## 149  bnoagg -5.946904e+00
## 150  bnoagg -4.756973e+00
## 151  bnoagg -7.051625e+00
## 152  bnoagg -6.245881e+00
## 153  bnoagg -8.596955e+00
## 154  bnoagg -4.818173e+00
## 155  bnoagg -5.954799e+00
## 156  bnoagg -6.052766e+00
## 157  bnoagg -7.896036e+00
## 158  bnoagg -5.482102e+00
## 159  bnoagg -6.532212e+00
## 160  bnoagg -7.319838e+00
## 161  bnoagg -7.100173e+00
## 162  bnoagg -6.042313e+00
## 163  bnoagg -5.548822e+00
## 164  bnoagg -4.238846e+00
## 165  bnoagg -4.689704e+00
## 166  bnoagg -5.980450e+00
## 167  bnoagg -7.530948e+00
## 168  bnoagg -6.737201e+00
## 169  bnoagg -5.393712e+00
## 170  bnoagg -5.824903e+00
## 171  bnoagg -4.084917e+00
## 172  bnoagg -5.704476e+00
## 173  bnoagg -5.296234e+00
## 174  bnoagg -5.300570e+00
## 175  bnoagg -5.590368e+00
## 176  bnoagg -6.326349e+00
## 177  bnoagg -8.636629e+00
## 178  bnoagg -6.551806e+00
## 179  bnoagg -5.486261e+00
## 180  bnoagg -7.897307e+00
## 181  bnoagg -4.477414e+00
## 182  bnoagg -4.231349e+00
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## 184  bnoagg -3.738934e+00
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## 192  bnoagg -3.862590e+00
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## 195  bnoagg -7.864016e+00
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## 7578  bmean  5.054471e-01
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## 7594  bmean  2.562577e+00
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## 7596  bmean  3.477440e+00
## 7597  bmean -5.440845e-01
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## 7599  bmean  3.791198e-01
## 7600  bmean -2.753686e+00
## 7601  bmean  3.121787e+00
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## 7604  bmean -4.057364e-01
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## 7607  bmean  5.196683e-01
## 7608  bmean -6.935532e-01
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## 7613  bmean -2.368944e+00
## 7614  bmean  1.670182e+00
## 7615  bmean  1.293375e+00
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## 7631  bmean  2.979328e+00
## 7632  bmean  2.674511e+00
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## 7889  bmean -4.619527e-01
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## 7892  bmean -3.599244e-01
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## 7894  bmean -1.618077e+00
## 7895  bmean  3.791754e-01
## 7896  bmean  1.544285e+00
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## 7901  bmean -1.907851e-01
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## 7903  bmean -4.641209e-01
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## 7911  bmean -3.690980e-01
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## 7931  bmean -3.811463e-01
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## 7935  bmean  1.680002e+00
## 7936  bmean  7.819762e-01
## 7937  bmean  5.506886e-01
## 7938  bmean  1.037070e+00
## 7939  bmean  2.548371e+00
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## 7941  bmean  2.623569e+00
## 7942  bmean -1.865732e+00
## 7943  bmean -1.030291e-01
## 7944  bmean  5.978705e-01
## 7945  bmean  3.263307e+00
## 7946  bmean  1.720697e+00
## 7947  bmean  1.707045e+00
## 7948  bmean  3.137318e+00
## 7949  bmean  1.878744e+00
## 7950  bmean  2.811503e+00
## 7951  bmean -7.307205e-01
## 7952  bmean  2.212577e+00
## 7953  bmean  1.094216e+00
## 7954  bmean -1.081025e+00
## 7955  bmean -9.870977e-01
## 7956  bmean  2.053494e+00
## 7957  bmean  2.057870e+00
## 7958  bmean  1.834477e+00
## 7959  bmean  1.423243e+00
## 7960  bmean  9.240601e-01
## 7961  bmean  1.424164e+00
## 7962  bmean  7.060760e-01
## 7963  bmean -3.099304e+00
## 7964  bmean  1.019457e+00
## 7965  bmean  8.661545e-02
## 7966  bmean  1.850659e+00
## 7967  bmean  3.666038e+00
## 7968  bmean  2.455274e+00
## 7969  bmean  1.370306e+00
## 7970  bmean  1.199168e+00
## 7971  bmean  1.561879e+00
## 7972  bmean  1.396809e+00
## 7973  bmean  3.027834e-01
## 7974  bmean  1.290627e+00
## 7975  bmean  2.501772e+00
## 7976  bmean  3.432765e+00
## 7977  bmean -3.147553e-01
## 7978  bmean  1.304844e-01
## 7979  bmean  5.079319e-01
## 7980  bmean  1.308692e+00
## 7981  bmean  2.752372e+00
## 7982  bmean  2.642259e+00
## 7983  bmean  3.737326e+00
## 7984  bmean  1.083969e+00
## 7985  bmean -6.534323e-01
## 7986  bmean  6.331377e-01
## 7987  bmean  1.952255e+00
## 7988  bmean  2.826217e-01
## 7989  bmean  1.516980e+00
## 7990  bmean  3.046657e+00
## 7991  bmean  2.182203e-01
## 7992  bmean  2.466317e+00
## 7993  bmean  2.749295e+00
## 7994  bmean  1.794907e+00
## 7995  bmean  1.353502e+00
## 7996  bmean  1.226339e-01
## 7997  bmean  2.180857e+00
## 7998  bmean  6.675753e-01
## 7999  bmean  4.077062e-01
## 8000  bmean -1.234059e+00

One potential confound for the effect that we observe in confidence is the intial confidence slider value each participant saw when they were asked to record their confidence. For each trial, we randomized the initial confidence slider position, as giving a default value could influence the confidence a participant gave. However, it is possible that sampling caused a higher rate of a range of values for a given aggregation condition, which could potentially confound any results we found in the confidence effect. We investigate the effects of this potential confound by plotting the distribution of initial confidence slider positions. We select a bin size of 4, resulting in 25 bins to see the data in a somewhat high resolution. Given the histograms of the distribution for each aggregation strategy, we see that though there is variance, generally initial slider value is the same.

df_50 %>% 
   ddply(.(aggStrat), summarise,
            total = sum(confidence!=-1),
            meanInitialSliderValue = mean(initSliderValue, na.rm=TRUE),
            sd = sd(initSliderValue),
            se = sd / sqrt(total))
##      aggStrat total meanInitialSliderValue       sd       se
## 1      disagg   550               49.47818 29.97526 1.278149
## 2 disagg+mean   558               50.89606 28.95424 1.225731
## 3        mean   500               49.34400 28.63028 1.280385

Accuracy-Confidence Relationship

We perform an exploratory analysis to investigate the relationship between accuracy, confidence and aggregation strategy. We plot the the average confidence of each worker per aggregation strategy to get a better understanding of the distribution of confidence.

##      aggStrat Correct Incorrect  Accuracy Total
## 1      disagg      72        74 0.4931507   146
## 2 disagg+mean     107        79 0.5752688   186
## 3        mean     101        83 0.5489130   184
##      aggStrat Correct Incorrect  Accuracy Total
## 1      disagg     138       130 0.5149254   268
## 2 disagg+mean     176       141 0.5552050   317
## 3        mean     154       128 0.5460993   282
##      aggStrat Correct Incorrect  Accuracy Total
## 1      disagg     179       163 0.5233918   342
## 2 disagg+mean     227       167 0.5761421   394
## 3        mean     182       161 0.5306122   343
##      aggStrat Correct Incorrect  Accuracy Total
## 1      disagg     202       192 0.5126904   394
## 2 disagg+mean     251       193 0.5653153   444
## 3        mean     200       183 0.5221932   383
##      aggStrat Correct Incorrect  Accuracy Total
## 1      disagg     219       210 0.5104895   429
## 2 disagg+mean     267       216 0.5527950   483
## 3        mean     216       207 0.5106383   423

Because there may be individual differences between how participants use confidence, we first find the average point biserial correlation between confidence and accuracy for each participant-aggregation strategy pair. Then we average these correlations across participants for each aggregation strategy. We interpret when a worker gets all of their observations correct (biserial.cor gives NaN) as 0 correlation. We find that the average correlation between accuracy and confidence across aggregation strategies are not reliably different.

ddply(df_50_worker_CorConf[df_50_worker_CorConf$biserial!=0,], ~aggStrat, summarize,
      avgConf=mean(conf),
      avgBiserial=mean(biserial),
      sdConf=sd(conf),
      sdCorr=sd(biserial),
      seConf=sdConf/sqrt(length(aggStrat)),
      seCorr=sdCorr/sqrt(length(aggStrat)))
##      aggStrat  avgConf  avgBiserial   sdConf    sdCorr   seConf     seCorr
## 1        mean 73.33731 -0.110984163 17.40377 0.4894502 2.051054 0.05768226
## 2      disagg 67.37752  0.037651088 16.72993 0.5163066 1.870463 0.05772484
## 3 disagg+mean 75.00932  0.003018117 14.82299 0.4516647 1.700313 0.05180949

First Trial Confidence

As per our pre-registration, we analyze first trial confidence before participants are aware they will be asked for confidence, in order to to compare confidence between aggregation strategy. We find that on the first trial, aggregation as a mean mark is slightly less accurate and less confident in their generalizations. We plot these results for aid.

Effect Magnitude (EM) and Quantitative Prediction (QP) Summary

Descriptive Statistics

Now let’s look at the two new codes for effect magnitude estimate and quantitative predictions. There are 103 EM generalizations and 783 QP generalizations. There is a greater amount of EM generalizations for disaggregated aggregation conditions, although the result is not significant. Looking at distributions of both, we find that there are more QP generalizations for the mean and shape generalization classes. Most of these are likely because shape class generalizations included those where the participant noted the shape of a distribution or the size of a bin (i.e. “Ages range from 18 to 68.” or “The majority of purchases are between 75 and 175 dollars.”)

df_50 %>%
  ddply(~aggStrat, summarise, 
      em = sum(effectSizeMagnitude==TRUE, na.rm=TRUE), 
      qp = sum(quantitativePrediction==TRUE, na.rm=TRUE), 
      em_null = sum(effectSizeMagnitude==TRUE & effectSizeMagnitudeRemoveNulls==FALSE, na.rm=TRUE), 
      total = sum(effectSizeMagnitude==TRUE | effectSizeMagnitude==FALSE, na.rm=TRUE), 
      PercES = em/total, 
      PercQP = qp/total, 
      PercES_null = em_null/total, 
      PercES_null_ofEM = em_null/em)
##      aggStrat em  qp em_null total     PercES    PercQP PercES_null
## 1      disagg 35 269      22   550 0.06363636 0.4890909  0.04000000
## 2 disagg+mean 43 270      23   558 0.07706093 0.4838710  0.04121864
## 3        mean 27 238      21   500 0.05400000 0.4760000  0.04200000
##   PercES_null_ofEM
## 1        0.6285714
## 2        0.5348837
## 3        0.7777778
df_50 %>%
  ddply(~aggStrat, summarise, 
      em = sum(effectSizeMagnitude==TRUE, na.rm=TRUE), 
      qp = sum(quantitativePrediction==TRUE, na.rm=TRUE), 
      em_null = sum(effectSizeMagnitude==TRUE & effectSizeMagnitudeRemoveNulls==FALSE, na.rm=TRUE), 
      total = sum(effectSizeMagnitude==TRUE | effectSizeMagnitude==FALSE, na.rm=TRUE), 
      PercES = em/total, 
      PercQP = qp/total, 
      PercES_null = em_null/total, 
      PercES_null_ofEM = em_null/em)
##      aggStrat em  qp em_null total     PercES    PercQP PercES_null
## 1      disagg 35 269      22   550 0.06363636 0.4890909  0.04000000
## 2 disagg+mean 43 270      23   558 0.07706093 0.4838710  0.04121864
## 3        mean 27 238      21   500 0.05400000 0.4760000  0.04200000
##   PercES_null_ofEM
## 1        0.6285714
## 2        0.5348837
## 3        0.7777778
## Using aggStrat as id variables

Per our preregistration, we run models for both QP and EM to see if there is any effect between aggregation condition and either effect. We see a slight effect in the effect magnitude estimates model, where the disagg condition in particular appears to result in less effect magnitude estimates, however the 95% CI slightly crosses 0 so this effect is not entirely reliable. Similarly, we find no reliable difference in aggregation condition for predicting the quantitative prediction code.

Quantitative Predictions Bayesian Model

##              Mean    StdDev lower 0.95 upper 0.95    n_eff     Rhat
## bnoagg -0.2224533 0.1994546 -0.6178543 0.17540596 5170.437 1.000085
## bmean  -0.3345958 0.1965517 -0.7285063 0.04769121 5214.198 0.999750
## 105 vector or matrix parameters omitted in display. Use depth=2 to show them.
##             Mean   StdDev lower 0.95 upper 0.95 n_eff     Rhat
## bnoagg 0.8005524 1.220737  0.5390999   1.191730   Inf 2.718512
## bmean  0.7156273 1.217198  0.4826294   1.048847   Inf 2.717602
## 105 vector or matrix parameters omitted in display. Use depth=2 to show them.
##        item         value
## 1    bnoagg -4.434886e-01
## 2    bnoagg -3.451352e-01
## 3    bnoagg -2.115660e-01
## 4    bnoagg  7.036484e-02
## 5    bnoagg -4.185184e-01
## 6    bnoagg  6.140601e-02
## 7    bnoagg -6.985703e-01
## 8    bnoagg  2.431063e-02
## 9    bnoagg -3.318290e-01
## 10   bnoagg -3.634301e-01
## 11   bnoagg  7.267809e-02
## 12   bnoagg -2.750812e-01
## 13   bnoagg -4.499825e-01
## 14   bnoagg -3.036019e-02
## 15   bnoagg -1.721854e-01
## 16   bnoagg -2.975305e-01
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## 18   bnoagg -3.923037e-01
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## 20   bnoagg -1.724852e-02
## 21   bnoagg -2.944901e-01
## 22   bnoagg -3.987189e-01
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## 30   bnoagg -3.521942e-01
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## 156  bnoagg -2.852030e-01
## 157  bnoagg  6.475544e-02
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## 160  bnoagg -4.156046e-01
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## 163  bnoagg -4.219979e-01
## 164  bnoagg -8.349263e-02
## 165  bnoagg -2.241954e-01
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## 1870 bnoagg -2.273396e-01
## 1871 bnoagg -2.893188e-01
## 1872 bnoagg -1.220831e-01
## 1873 bnoagg -2.841096e-01
## 1874 bnoagg -2.081162e-01
## 1875 bnoagg -3.823757e-01
## 1876 bnoagg -2.633960e-01
## 1877 bnoagg  4.295167e-02
## 1878 bnoagg  3.582793e-02
## 1879 bnoagg -2.128808e-01
## 1880 bnoagg -5.548094e-01
## 1881 bnoagg  7.742389e-02
## 1882 bnoagg -3.958634e-01
## 1883 bnoagg -1.176673e-01
## 1884 bnoagg  4.623426e-02
## 1885 bnoagg -8.614218e-02
## 1886 bnoagg  4.985178e-02
## 1887 bnoagg -7.132762e-01
## 1888 bnoagg -2.678839e-01
## 1889 bnoagg -1.096686e-01
## 1890 bnoagg -1.820809e-01
## 1891 bnoagg -1.548336e-01
## 1892 bnoagg -1.651092e-01
## 1893 bnoagg  6.339522e-02
## 1894 bnoagg  1.523923e-02
## 1895 bnoagg -1.258078e-01
## 1896 bnoagg  2.497963e-01
## 1897 bnoagg -1.960277e-01
## 1898 bnoagg -2.731839e-01
## 1899 bnoagg -1.875293e-01
## 1900 bnoagg -4.449820e-01
## 1901 bnoagg -4.703343e-02
## 1902 bnoagg -2.530680e-01
## 1903 bnoagg -3.027222e-01
## 1904 bnoagg -1.667640e-01
## 1905 bnoagg  2.631346e-01
## 1906 bnoagg -4.881670e-02
## 1907 bnoagg -1.766059e-01
## 1908 bnoagg -3.010600e-01
## 1909 bnoagg -1.003381e-01
## 1910 bnoagg -1.432799e-01
## 1911 bnoagg -3.596258e-01
## 1912 bnoagg -3.269649e-01
## 1913 bnoagg  6.155088e-02
## 1914 bnoagg -4.036278e-01
## 1915 bnoagg -2.646800e-01
## 1916 bnoagg -8.474906e-01
## 1917 bnoagg -3.660078e-01
## 1918 bnoagg  1.078934e-02
## 1919 bnoagg  8.656680e-02
## 1920 bnoagg -7.219323e-02
## 1921 bnoagg  1.750917e-01
## 1922 bnoagg -2.401194e-01
## 1923 bnoagg -7.272306e-02
## 1924 bnoagg -3.425450e-01
## 1925 bnoagg -9.342560e-02
## 1926 bnoagg -2.434023e-01
## 1927 bnoagg -3.355152e-01
## 1928 bnoagg -1.079290e-01
## 1929 bnoagg -4.573387e-01
## 1930 bnoagg -2.463892e-02
## 1931 bnoagg -6.307346e-02
## 1932 bnoagg -2.572792e-01
## 1933 bnoagg -7.733351e-02
## 1934 bnoagg  1.593286e-01
## 1935 bnoagg -3.394260e-01
## 1936 bnoagg -4.152239e-01
## 1937 bnoagg -3.779163e-02
## 1938 bnoagg -1.334922e-01
## 1939 bnoagg -7.387683e-01
## 1940 bnoagg -4.392279e-02
## 1941 bnoagg -5.561072e-01
## 1942 bnoagg -2.208691e-01
## 1943 bnoagg -3.153732e-01
## 1944 bnoagg -1.090982e-01
## 1945 bnoagg  3.062117e-02
## 1946 bnoagg -3.344553e-01
## 1947 bnoagg -3.330072e-01
## 1948 bnoagg -1.919374e-01
## 1949 bnoagg  1.640211e-03
## 1950 bnoagg -4.119613e-01
## 1951 bnoagg -4.172554e-02
## 1952 bnoagg -4.698441e-02
## 1953 bnoagg -8.579373e-02
## 1954 bnoagg -2.046893e-01
## 1955 bnoagg -2.857886e-01
## 1956 bnoagg -1.879148e-01
## 1957 bnoagg -1.867224e-01
## 1958 bnoagg -1.005787e-01
## 1959 bnoagg -3.114621e-01
## 1960 bnoagg -2.017515e-01
## 1961 bnoagg -3.739075e-01
## 1962 bnoagg -1.428567e-01
## 1963 bnoagg -1.056768e-01
## 1964 bnoagg  1.754060e-01
## 1965 bnoagg -2.754410e-01
## 1966 bnoagg -6.566614e-02
## 1967 bnoagg -4.763649e-01
## 1968 bnoagg -4.031839e-01
## 1969 bnoagg -2.600476e-01
## 1970 bnoagg -4.138840e-01
## 1971 bnoagg -6.477775e-01
## 1972 bnoagg -1.931703e-01
## 1973 bnoagg  1.474416e-01
## 1974 bnoagg -2.122369e-01
## 1975 bnoagg -3.481024e-01
## 1976 bnoagg -1.183622e-01
## 1977 bnoagg -3.288501e-01
## 1978 bnoagg -1.011777e-01
## 1979 bnoagg -1.781417e-01
## 1980 bnoagg -2.220935e-01
## 1981 bnoagg -1.749525e-01
## 1982 bnoagg  1.916474e-02
## 1983 bnoagg -1.019029e-01
## 1984 bnoagg -4.195317e-01
## 1985 bnoagg -5.737503e-01
## 1986 bnoagg  9.263389e-02
## 1987 bnoagg -1.072583e-01
## 1988 bnoagg -1.035629e-01
## 1989 bnoagg -1.387957e-01
## 1990 bnoagg -1.473451e-01
## 1991 bnoagg -4.874768e-01
## 1992 bnoagg -2.519952e-01
## 1993 bnoagg -4.146334e-01
## 1994 bnoagg -4.275217e-01
## 1995 bnoagg -4.915930e-01
## 1996 bnoagg -2.208566e-01
## 1997 bnoagg -2.676094e-01
## 1998 bnoagg -1.093788e-01
## 1999 bnoagg -3.766793e-01
## 2000 bnoagg -4.048415e-02
## 2001 bnoagg -6.635400e-02
## 2002 bnoagg -2.544163e-01
## 2003 bnoagg -2.079321e-01
## 2004 bnoagg -2.791521e-01
## 2005 bnoagg -1.988625e-01
## 2006 bnoagg -1.440563e-01
## 2007 bnoagg -1.715734e-01
## 2008 bnoagg  6.811006e-02
## 2009 bnoagg -5.003145e-01
## 2010 bnoagg  7.168005e-03
## 2011 bnoagg -1.360841e-01
## 2012 bnoagg -5.054055e-01
## 2013 bnoagg  1.903195e-01
## 2014 bnoagg -6.074758e-02
## 2015 bnoagg -2.386117e-01
## 2016 bnoagg -9.117818e-02
## 2017 bnoagg -2.351999e-01
## 2018 bnoagg -1.623171e-01
## 2019 bnoagg -3.004712e-01
## 2020 bnoagg -3.040256e-01
## 2021 bnoagg  5.372661e-02
## 2022 bnoagg  6.895986e-02
## 2023 bnoagg -1.014723e-01
## 2024 bnoagg -4.104055e-01
## 2025 bnoagg -4.727317e-01
## 2026 bnoagg  1.478404e-02
## 2027 bnoagg -5.621173e-01
## 2028 bnoagg -2.192235e-01
## 2029 bnoagg -2.642875e-01
## 2030 bnoagg -3.372120e-01
## 2031 bnoagg -5.775366e-01
## 2032 bnoagg -2.922736e-01
## 2033 bnoagg -1.454981e-01
## 2034 bnoagg  5.980220e-02
## 2035 bnoagg -4.787299e-01
## 2036 bnoagg -4.294118e-01
## 2037 bnoagg  8.375774e-02
## 2038 bnoagg -1.214971e-01
## 2039 bnoagg -2.285499e-01
## 2040 bnoagg  2.660288e-01
## 2041 bnoagg -5.901215e-03
## 2042 bnoagg -4.742423e-01
## 2043 bnoagg -2.383519e-01
## 2044 bnoagg -1.019321e-01
## 2045 bnoagg -1.862389e-01
## 2046 bnoagg -4.492981e-01
## 2047 bnoagg -9.687148e-02
## 2048 bnoagg -4.140595e-01
## 2049 bnoagg -2.496931e-01
## 2050 bnoagg -4.233462e-01
## 2051 bnoagg -3.170309e-03
## 2052 bnoagg -4.414173e-01
## 2053 bnoagg -3.687358e-01
## 2054 bnoagg  1.480843e-01
## 2055 bnoagg -4.159814e-01
## 2056 bnoagg -3.176250e-01
## 2057 bnoagg -1.824660e-01
## 2058 bnoagg -3.760878e-01
## 2059 bnoagg -2.385898e-01
## 2060 bnoagg  1.763930e-01
## 2061 bnoagg  1.997958e-02
## 2062 bnoagg -3.035908e-01
## 2063 bnoagg -1.495563e-02
## 2064 bnoagg -1.316087e-01
## 2065 bnoagg  1.462940e-01
## 2066 bnoagg -3.689471e-01
## 2067 bnoagg  1.867016e-01
## 2068 bnoagg -2.596333e-01
## 2069 bnoagg -2.812809e-01
## 2070 bnoagg -2.825536e-01
## 2071 bnoagg -6.166458e-02
## 2072 bnoagg  6.047388e-02
## 2073 bnoagg -2.944128e-01
## 2074 bnoagg -2.387452e-01
## 2075 bnoagg -5.347568e-01
## 2076 bnoagg -3.008526e-01
## 2077 bnoagg -1.635596e-01
## 2078 bnoagg -1.027190e-02
## 2079 bnoagg -2.687677e-01
## 2080 bnoagg  1.487381e-01
## 2081 bnoagg -7.225995e-01
## 2082 bnoagg -4.113449e-01
## 2083 bnoagg -2.171484e-01
## 2084 bnoagg -1.354535e-01
## 2085 bnoagg -3.079742e-01
## 2086 bnoagg -1.824389e-01
## 2087 bnoagg -3.935855e-01
## 2088 bnoagg -1.814630e-02
## 2089 bnoagg -3.338917e-01
## 2090 bnoagg -2.225150e-01
## 2091 bnoagg -6.944806e-03
## 2092 bnoagg -3.490547e-01
## 2093 bnoagg -2.792672e-01
## 2094 bnoagg -4.461448e-01
## 2095 bnoagg  1.234753e-01
## 2096 bnoagg -2.288722e-01
## 2097 bnoagg -2.326854e-01
## 2098 bnoagg  5.457043e-02
## 2099 bnoagg -3.276977e-01
## 2100 bnoagg -1.062136e-01
## 2101 bnoagg -2.808568e-01
## 2102 bnoagg -4.472406e-01
## 2103 bnoagg -3.020454e-01
## 2104 bnoagg -8.079277e-02
## 2105 bnoagg -1.922690e-01
## 2106 bnoagg -3.692537e-01
## 2107 bnoagg -5.330577e-01
## 2108 bnoagg -6.232162e-01
## 2109 bnoagg -5.112953e-01
## 2110 bnoagg -1.099196e-01
## 2111 bnoagg -1.965053e-01
## 2112 bnoagg -5.855013e-02
## 2113 bnoagg -2.513236e-01
## 2114 bnoagg -1.598885e-01
## 2115 bnoagg -4.916323e-01
## 2116 bnoagg -1.879926e-01
## 2117 bnoagg  3.310062e-02
## 2118 bnoagg -3.214698e-03
## 2119 bnoagg -3.500248e-01
## 2120 bnoagg -4.660904e-01
## 2121 bnoagg  3.423138e-02
## 2122 bnoagg -1.786669e-01
## 2123 bnoagg -3.349397e-01
## 2124 bnoagg -4.300075e-02
## 2125 bnoagg -3.936337e-01
## 2126 bnoagg -2.197913e-01
## 2127 bnoagg  3.974184e-01
## 2128 bnoagg -3.915267e-01
## 2129 bnoagg -3.203138e-01
## 2130 bnoagg -1.961161e-02
## 2131 bnoagg -5.531652e-01
## 2132 bnoagg -1.477546e-01
## 2133 bnoagg -1.592106e-02
## 2134 bnoagg -4.140936e-01
## 2135 bnoagg  2.054151e-01
## 2136 bnoagg -4.750082e-01
## 2137 bnoagg -1.712250e-01
## 2138 bnoagg -3.035132e-01
## 2139 bnoagg -2.807739e-01
## 2140 bnoagg -1.205131e-01
## 2141 bnoagg -2.653262e-01
## 2142 bnoagg -1.571518e-03
## 2143 bnoagg -2.827608e-01
## 2144 bnoagg -3.859712e-02
## 2145 bnoagg -3.761511e-01
## 2146 bnoagg -2.222924e-01
## 2147 bnoagg -1.209723e-01
## 2148 bnoagg -4.364112e-01
## 2149 bnoagg -3.558505e-01
## 2150 bnoagg -4.672170e-01
## 2151 bnoagg -3.204480e-01
## 2152 bnoagg -3.355725e-01
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## 2154 bnoagg -1.099169e-01
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## 2158 bnoagg  1.044693e-01
## 2159 bnoagg -2.030214e-01
## 2160 bnoagg -2.084300e-01
## 2161 bnoagg -2.304747e-01
## 2162 bnoagg -2.835315e-01
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## 2165 bnoagg -2.907219e-01
## 2166 bnoagg -3.020576e-01
## 2167 bnoagg -8.895121e-02
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## 2169 bnoagg -3.857124e-02
## 2170 bnoagg -1.610989e-01
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## 2173 bnoagg -1.702490e-01
## 2174 bnoagg -3.082015e-01
## 2175 bnoagg -1.596589e-01
## 2176 bnoagg -2.169815e-01
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## 2178 bnoagg -4.740103e-01
## 2179 bnoagg -1.927307e-01
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## 2182 bnoagg -3.066698e-01
## 2183 bnoagg  1.163817e-02
## 2184 bnoagg -3.799366e-02
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## 2186 bnoagg -2.209118e-01
## 2187 bnoagg -3.283156e-01
## 2188 bnoagg -6.045233e-01
## 2189 bnoagg -4.838922e-01
## 2190 bnoagg -3.467050e-01
## 2191 bnoagg -6.810351e-02
## 2192 bnoagg -3.601863e-01
## 2193 bnoagg -1.725948e-01
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## 2195 bnoagg  6.230033e-02
## 2196 bnoagg -2.393124e-01
## 2197 bnoagg -1.321150e-01
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## 2199 bnoagg -2.897622e-01
## 2200 bnoagg -2.010442e-01
## 2201 bnoagg -1.321240e-02
## 2202 bnoagg -4.854045e-01
## 2203 bnoagg  2.267105e-01
## 2204 bnoagg -7.148931e-01
## 2205 bnoagg -1.333148e-01
## 2206 bnoagg  1.006985e-01
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## 2216 bnoagg  7.649699e-03
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## 2218 bnoagg  9.453086e-02
## 2219 bnoagg -5.236960e-01
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## 2221 bnoagg -6.536124e-01
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## 2225 bnoagg -2.141477e-01
## 2226 bnoagg -5.206932e-01
## 2227 bnoagg  2.042620e-02
## 2228 bnoagg  7.917698e-02
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## 2230 bnoagg -1.140870e-01
## 2231 bnoagg -1.839399e-01
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## 2233 bnoagg -8.687007e-02
## 2234 bnoagg -1.122785e-01
## 2235 bnoagg -3.232116e-01
## 2236 bnoagg -3.440438e-01
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## 2238 bnoagg -2.410051e-01
## 2239 bnoagg -3.188407e-01
## 2240 bnoagg -4.409565e-01
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## 7760  bmean -1.124190e-01
## 7761  bmean -4.915983e-01
## 7762  bmean -5.275036e-01
## 7763  bmean -2.277077e-01
## 7764  bmean -4.589417e-01
## 7765  bmean -3.794964e-01
## 7766  bmean -7.689035e-02
## 7767  bmean -8.235573e-01
## 7768  bmean -2.438505e-01
## 7769  bmean -1.382780e-01
## 7770  bmean -3.613519e-01
## 7771  bmean -4.371263e-02
## 7772  bmean -3.244007e-01
## 7773  bmean -4.519913e-01
## 7774  bmean -4.074647e-01
## 7775  bmean -3.965774e-01
## 7776  bmean -5.115466e-01
## 7777  bmean -1.354792e-01
## 7778  bmean -8.701942e-03
## 7779  bmean -1.658083e-01
## 7780  bmean -3.974794e-01
## 7781  bmean -9.303714e-02
## 7782  bmean -3.156977e-01
## 7783  bmean -3.083867e-01
## 7784  bmean -8.577996e-01
## 7785  bmean -2.075470e-02
## 7786  bmean -2.520059e-01
## 7787  bmean -5.076198e-01
## 7788  bmean -4.582598e-01
## 7789  bmean -6.669237e-01
## 7790  bmean -2.336161e-01
## 7791  bmean -4.289548e-01
## 7792  bmean -4.854460e-01
## 7793  bmean -4.442755e-01
## 7794  bmean  7.690575e-02
## 7795  bmean -1.050664e-01
## 7796  bmean  5.925568e-02
## 7797  bmean -3.594843e-01
## 7798  bmean -4.445695e-01
## 7799  bmean -2.127894e-01
## 7800  bmean -2.664584e-01
## 7801  bmean -3.878315e-01
## 7802  bmean -4.136764e-01
## 7803  bmean -2.616795e-01
## 7804  bmean -3.236264e-01
## 7805  bmean  6.186839e-02
## 7806  bmean -3.679906e-01
## 7807  bmean -7.643587e-01
## 7808  bmean  1.726369e-01
## 7809  bmean -1.189228e-01
## 7810  bmean -3.072759e-01
## 7811  bmean -1.336657e-01
## 7812  bmean -3.668452e-01
## 7813  bmean -1.387975e-01
## 7814  bmean -3.652973e-01
## 7815  bmean -1.662855e-01
## 7816  bmean -2.734743e-01
## 7817  bmean -4.911694e-01
## 7818  bmean -5.406882e-01
## 7819  bmean -3.531369e-01
## 7820  bmean -3.078037e-01
## 7821  bmean -4.369983e-01
## 7822  bmean -1.744536e-01
## 7823  bmean -1.970820e-01
## 7824  bmean -3.892146e-01
## 7825  bmean -2.317784e-01
## 7826  bmean -6.383574e-01
## 7827  bmean -2.236190e-01
## 7828  bmean -6.208714e-01
## 7829  bmean -5.182945e-01
## 7830  bmean -3.343490e-02
## 7831  bmean -6.067270e-01
## 7832  bmean -3.491781e-01
## 7833  bmean -3.869913e-01
## 7834  bmean -1.031106e-01
## 7835  bmean -1.864999e-01
## 7836  bmean -3.312119e-01
## 7837  bmean -2.798807e-01
## 7838  bmean -3.906959e-01
## 7839  bmean -2.580781e-01
## 7840  bmean -3.565322e-01
## 7841  bmean -3.433067e-01
## 7842  bmean -1.673216e-01
## 7843  bmean -2.410999e-01
## 7844  bmean -1.631027e-01
## 7845  bmean -3.530311e-01
## 7846  bmean -1.969344e-01
## 7847  bmean -3.889616e-01
## 7848  bmean -8.758760e-02
## 7849  bmean -2.115659e-01
## 7850  bmean -4.421230e-01
## 7851  bmean -2.019219e-01
## 7852  bmean -5.491740e-01
## 7853  bmean -2.201111e-01
## 7854  bmean -3.639403e-01
## 7855  bmean -3.782759e-01
## 7856  bmean -3.945692e-01
## 7857  bmean -3.213666e-01
## 7858  bmean -1.321276e-01
## 7859  bmean -2.133826e-01
## 7860  bmean -4.111631e-01
## 7861  bmean -6.785897e-01
## 7862  bmean -3.209847e-01
## 7863  bmean -5.106386e-01
## 7864  bmean -5.789895e-01
## 7865  bmean -3.667639e-01
## 7866  bmean -4.217496e-01
## 7867  bmean -4.692244e-01
## 7868  bmean -5.990271e-01
## 7869  bmean -2.506952e-01
## 7870  bmean -4.742294e-01
## 7871  bmean -2.242445e-01
## 7872  bmean -2.267660e-01
## 7873  bmean -3.775862e-01
## 7874  bmean -6.608846e-01
## 7875  bmean -1.441089e-01
## 7876  bmean -4.480906e-01
## 7877  bmean -9.313731e-02
## 7878  bmean -1.637925e-01
## 7879  bmean -5.352485e-01
## 7880  bmean -2.954879e-01
## 7881  bmean -4.868082e-01
## 7882  bmean -5.657954e-01
## 7883  bmean -5.128050e-01
## 7884  bmean -2.179901e-01
## 7885  bmean -2.117714e-01
## 7886  bmean -4.141364e-01
## 7887  bmean -2.599818e-01
## 7888  bmean -6.055324e-01
## 7889  bmean -8.628788e-02
## 7890  bmean -7.980538e-01
## 7891  bmean -3.892129e-01
## 7892  bmean -5.942967e-01
## 7893  bmean -4.782673e-02
## 7894  bmean -5.304654e-01
## 7895  bmean -3.253531e-02
## 7896  bmean -1.433444e-01
## 7897  bmean -3.009371e-01
## 7898  bmean -1.687275e-01
## 7899  bmean -1.412717e-01
## 7900  bmean -5.217486e-01
## 7901  bmean -4.628777e-01
## 7902  bmean -3.523304e-01
## 7903  bmean -3.135871e-01
## 7904  bmean -3.342261e-01
## 7905  bmean -1.172309e-01
## 7906  bmean -2.903572e-01
## 7907  bmean -3.894084e-01
## 7908  bmean -1.128231e-01
## 7909  bmean -5.294755e-01
## 7910  bmean -4.585446e-01
## 7911  bmean -3.614694e-01
## 7912  bmean -1.974928e-01
## 7913  bmean -2.573513e-01
## 7914  bmean -5.600948e-01
## 7915  bmean -1.689667e-01
## 7916  bmean -2.205292e-01
## 7917  bmean -3.233617e-01
## 7918  bmean -2.435901e-01
## 7919  bmean -1.149131e-01
## 7920  bmean -2.471334e-01
## 7921  bmean -4.559854e-01
## 7922  bmean -1.576814e-01
## 7923  bmean -2.770831e-01
## 7924  bmean -3.776464e-01
## 7925  bmean -2.214204e-01
## 7926  bmean -5.099052e-02
## 7927  bmean -4.640439e-01
## 7928  bmean -1.755795e-01
## 7929  bmean -3.046547e-01
## 7930  bmean -1.510827e-01
## 7931  bmean -2.951947e-01
## 7932  bmean -3.342737e-01
## 7933  bmean -1.342255e-01
## 7934  bmean -7.851236e-01
## 7935  bmean -1.152018e-01
## 7936  bmean -3.273293e-01
## 7937  bmean -5.534064e-01
## 7938  bmean -1.805996e-01
## 7939  bmean -1.350711e-01
## 7940  bmean -3.136604e-01
## 7941  bmean -2.807113e-01
## 7942  bmean -4.001963e-01
## 7943  bmean -1.412978e-01
## 7944  bmean -2.063514e-01
## 7945  bmean -3.529755e-01
## 7946  bmean -2.381937e-01
## 7947  bmean -3.756656e-01
## 7948  bmean -5.380040e-01
## 7949  bmean -2.921292e-01
## 7950  bmean -7.226888e-01
## 7951  bmean -1.050845e-01
## 7952  bmean -2.536715e-01
## 7953  bmean -6.299658e-01
## 7954  bmean -3.331950e-01
## 7955  bmean -6.780805e-01
## 7956  bmean -4.287735e-01
## 7957  bmean -2.582103e-01
## 7958  bmean -2.856522e-01
## 7959  bmean -4.080335e-01
## 7960  bmean -1.611279e-01
## 7961  bmean -8.174510e-01
## 7962  bmean -3.443946e-01
## 7963  bmean -1.097103e-01
## 7964  bmean -5.375423e-01
## 7965  bmean -2.990346e-01
## 7966  bmean -5.294031e-01
## 7967  bmean -1.326572e-01
## 7968  bmean -2.045578e-01
## 7969  bmean -3.630591e-01
## 7970  bmean -9.507106e-02
## 7971  bmean -5.559307e-01
## 7972  bmean -4.799804e-01
## 7973  bmean -2.166454e-01
## 7974  bmean -1.399078e-01
## 7975  bmean -2.960140e-01
## 7976  bmean -6.393962e-01
## 7977  bmean -1.903583e-01
## 7978  bmean -3.738064e-01
## 7979  bmean -2.026642e-01
## 7980  bmean -2.722634e-01
## 7981  bmean -3.179385e-01
## 7982  bmean -1.431963e-01
## 7983  bmean -3.677807e-01
## 7984  bmean -2.983415e-01
## 7985  bmean -5.531373e-01
## 7986  bmean -5.971031e-01
## 7987  bmean -4.798788e-01
## 7988  bmean -4.839315e-01
## 7989  bmean -3.735598e-01
## 7990  bmean -6.251911e-01
## 7991  bmean -6.252086e-01
## 7992  bmean -1.971069e-01
## 7993  bmean -4.291539e-01
## 7994  bmean -1.637105e-01
## 7995  bmean -3.303298e-01
## 7996  bmean -7.241398e-01
## 7997  bmean -2.823706e-01
## 7998  bmean -1.413154e-01
## 7999  bmean -1.640954e-01
## 8000  bmean -5.186359e-01

Effect Magnitude Bayesian Model

##             Mean    StdDev  lower 0.95 upper 0.95    n_eff      Rhat
## bnoagg 0.4450233 0.3189393 -0.17730272   1.072275 3774.804 0.9998070
## bmean  0.6692616 0.3117747  0.07903347   1.289099 3782.946 0.9997586
##            Mean   StdDev lower 0.95 upper 0.95 n_eff     Rhat
## bnoagg 1.560527 1.375668  0.8375262   2.922020   Inf 2.717757
## bmean  1.952795 1.365847  1.0822405   3.629516   Inf 2.717626
##  a_worker[1]  a_worker[2]  a_worker[3]  a_worker[4]  a_worker[5]  a_worker[6] 
##   0.49044897   0.38521313   0.71974260   3.08003192   0.77264715   0.65543646 
##  a_worker[7]  a_worker[8]  a_worker[9] a_worker[10] a_worker[11] a_worker[12] 
##   0.81197169   0.98653589   1.15319295   0.32468233   1.98863481   0.78434105 
## a_worker[13] a_worker[14] a_worker[15] a_worker[16] a_worker[17] a_worker[18] 
##   0.73618473   0.84298030   0.37401093   0.51517908   1.94744024   7.04511636 
## a_worker[19] a_worker[20] a_worker[21] a_worker[22] a_worker[23] a_worker[24] 
##   0.36674008   0.72929760   2.16728285   3.58301496   0.52399417   0.43792583 
## a_worker[25] a_worker[26] a_worker[27] a_worker[28] a_worker[29] a_worker[30] 
##   1.68835573   1.12607997   0.82873875   1.84673440   1.59573607   3.14001702 
## a_worker[31] a_worker[32] a_worker[33] a_worker[34] a_worker[35] a_worker[36] 
##   0.93976673   1.35735237   1.55460603   1.45739731   0.66623700   0.49863375 
## a_worker[37] a_worker[38] a_worker[39] a_worker[40] a_worker[41] a_worker[42] 
##   0.83721832   1.97712005   5.91173231   0.41930603   1.70450118   0.49020195 
## a_worker[43] a_worker[44] a_worker[45] a_worker[46] a_worker[47] a_worker[48] 
##   1.17292159   0.41455846   0.76089776   0.65223722   0.50784667   2.91108972 
## a_worker[49] a_worker[50] a_worker[51] a_worker[52] a_worker[53] a_worker[54] 
##   0.70531001   3.16392096   1.40139799   0.66776404   1.04777370   1.39506791 
## a_worker[55] a_worker[56] a_worker[57] a_worker[58] a_worker[59] a_worker[60] 
##   2.16934795   5.42527561   0.46330205   0.55221903   1.50435803   0.88912579 
## a_worker[61] a_worker[62] a_worker[63] a_worker[64] a_worker[65] a_worker[66] 
##   1.23109427   2.27855575   0.89985176   0.66555091   0.56458204   0.44293875 
## a_worker[67] a_worker[68] a_worker[69] a_worker[70] a_worker[71] a_worker[72] 
##   1.81215190   3.45838643   0.46181499   0.76220280   1.67152007   2.57144498 
## a_worker[73] a_worker[74] a_worker[75] a_worker[76] a_worker[77] a_worker[78] 
##   0.40460301   0.76660113   1.01012244   1.05740687   0.39804657   0.99834464 
## a_worker[79] a_worker[80] a_worker[81] a_worker[82] a_worker[83] a_worker[84] 
##   1.27082940   0.74856566   0.75108401   2.06855284   0.38378018   0.41649586 
## a_worker[85] a_worker[86] a_worker[87] a_worker[88] a_worker[89] a_worker[90] 
##   1.72253252   4.50729321   0.36821347   0.96434366   0.32349159   0.44462452 
##    a_spec[1]    a_spec[2]    a_spec[3]    a_spec[4]    a_spec[5]    a_spec[6] 
##   0.07915926   0.07433649   0.09833638   0.06852226   0.33527258   0.42636821 
##    a_spec[7]    a_spec[8]    a_spec[9]   a_spec[10]   a_spec[11]   a_spec[12] 
##  19.07570921   1.09086631   2.22474638   0.24442946   8.74278676   0.92288404 
##   a_spec[13]   a_spec[14]   a_spec[15]            a       bnoagg        bmean 
##   8.48991823  32.86843215   4.07720803   0.01110107   1.56052654   1.95279476 
##       btrial sigma_worker   sigma_spec 
##   0.99326779   3.03082994  10.50323120
## 105 vector or matrix parameters omitted in display. Use depth=2 to show them.
##        item         value
## 1    bnoagg  0.9487412241
## 2    bnoagg  0.1149100024
## 3    bnoagg  0.4834389309
## 4    bnoagg  0.7143997320
## 5    bnoagg  0.3752994462
## 6    bnoagg  0.2747148221
## 7    bnoagg -0.0848620292
## 8    bnoagg  0.9961021059
## 9    bnoagg  0.9527633254
## 10   bnoagg  0.2565497073
## 11   bnoagg  0.3095915758
## 12   bnoagg  0.0405424411
## 13   bnoagg  0.4574212349
## 14   bnoagg  0.2694223216
## 15   bnoagg  0.4855842367
## 16   bnoagg  0.6018822670
## 17   bnoagg  0.3440960208
## 18   bnoagg  0.8464322096
## 19   bnoagg  0.6943223158
## 20   bnoagg  0.5322762160
## 21   bnoagg  0.8522320233
## 22   bnoagg  0.6170524541
## 23   bnoagg  0.4639101046
## 24   bnoagg  0.5615405790
## 25   bnoagg  0.8572597473
## 26   bnoagg -0.1190076792
## 27   bnoagg  0.1802529544
## 28   bnoagg  0.2574311658
## 29   bnoagg  0.3997979074
## 30   bnoagg  0.7339592989
## 31   bnoagg  0.2533531051
## 32   bnoagg  0.6919944074
## 33   bnoagg  0.8999554651
## 34   bnoagg  0.2038722467
## 35   bnoagg  0.4880143019
## 36   bnoagg  0.3802461587
## 37   bnoagg  0.4795950394
## 38   bnoagg  0.1135840635
## 39   bnoagg  0.2669753008
## 40   bnoagg  0.2756386861
## 41   bnoagg  0.8378332306
## 42   bnoagg  0.6832054506
## 43   bnoagg -0.2499934069
## 44   bnoagg  0.7055287059
## 45   bnoagg -0.2221703052
## 46   bnoagg  0.0204197475
## 47   bnoagg  0.6258425045
## 48   bnoagg  0.3995606147
## 49   bnoagg -0.0042027980
## 50   bnoagg  0.8629120581
## 51   bnoagg -0.0033362846
## 52   bnoagg  0.1903619306
## 53   bnoagg -0.0582832951
## 54   bnoagg  0.5585063032
## 55   bnoagg  0.0903902583
## 56   bnoagg  1.1839205312
## 57   bnoagg  0.9095027294
## 58   bnoagg  0.6100710103
## 59   bnoagg -0.1794842022
## 60   bnoagg  0.7010014694
## 61   bnoagg  0.1337470675
## 62   bnoagg  1.0398315849
## 63   bnoagg  0.5046213944
## 64   bnoagg  0.1150106604
## 65   bnoagg  0.5281735891
## 66   bnoagg  0.3295192331
## 67   bnoagg  0.1385546252
## 68   bnoagg  0.2930043441
## 69   bnoagg -0.1322036249
## 70   bnoagg  0.6464615893
## 71   bnoagg  0.3390928774
## 72   bnoagg  0.6491591345
## 73   bnoagg  0.0316041620
## 74   bnoagg  0.7799053030
## 75   bnoagg  0.5797309567
## 76   bnoagg  0.9154827417
## 77   bnoagg  0.0976437838
## 78   bnoagg  0.6642203038
## 79   bnoagg  0.7488922722
## 80   bnoagg  0.5077630733
## 81   bnoagg  0.4552599448
## 82   bnoagg  0.7909381116
## 83   bnoagg  0.4546074388
## 84   bnoagg  0.5257739573
## 85   bnoagg  0.5844944655
## 86   bnoagg -0.0813538141
## 87   bnoagg  0.9200682278
## 88   bnoagg  0.4593670478
## 89   bnoagg  0.2816762283
## 90   bnoagg  0.2652168328
## 91   bnoagg  0.9170141559
## 92   bnoagg  0.1538639844
## 93   bnoagg -0.1192006065
## 94   bnoagg  0.3098543397
## 95   bnoagg  0.3709375112
## 96   bnoagg  0.5755665954
## 97   bnoagg  0.7832003378
## 98   bnoagg  0.8608418000
## 99   bnoagg  0.6435807108
## 100  bnoagg  0.3485247135
## 101  bnoagg  0.0957761745
## 102  bnoagg  0.6917141077
## 103  bnoagg  0.2140871218
## 104  bnoagg  0.7832188132
## 105  bnoagg -0.1019634447
## 106  bnoagg  0.1354103261
## 107  bnoagg  0.3293102508
## 108  bnoagg  0.2694133748
## 109  bnoagg  0.5698803643
## 110  bnoagg  0.8028141342
## 111  bnoagg -0.1768554833
## 112  bnoagg  0.2615266851
## 113  bnoagg  0.2673242439
## 114  bnoagg  0.3219640194
## 115  bnoagg  0.4768402670
## 116  bnoagg  0.8936966675
## 117  bnoagg  0.4464372984
## 118  bnoagg  1.1297949556
## 119  bnoagg  0.2856866446
## 120  bnoagg  0.6430020910
## 121  bnoagg -0.0633185899
## 122  bnoagg  0.8870871157
## 123  bnoagg  0.7953717654
## 124  bnoagg  0.0870145374
## 125  bnoagg  0.8652153228
## 126  bnoagg  0.2128213113
## 127  bnoagg  0.1744925873
## 128  bnoagg  1.0021735810
## 129  bnoagg  0.3221186122
## 130  bnoagg  0.2418348968
## 131  bnoagg  0.4864398627
## 132  bnoagg  0.2986318573
## 133  bnoagg  0.2948770911
## 134  bnoagg  0.2261175695
## 135  bnoagg  0.1645260209
## 136  bnoagg  0.4911664771
## 137  bnoagg -0.1733749525
## 138  bnoagg -0.0073310815
## 139  bnoagg  0.1871987742
## 140  bnoagg  0.4875924995
## 141  bnoagg  0.7110581166
## 142  bnoagg  0.4766884629
## 143  bnoagg  0.6754672317
## 144  bnoagg  0.3064236523
## 145  bnoagg  0.1382558497
## 146  bnoagg  0.4501301613
## 147  bnoagg  0.6007890220
## 148  bnoagg  1.0020661685
## 149  bnoagg  0.6529988565
## 150  bnoagg  0.6511585929
## 151  bnoagg  1.1528992078
## 152  bnoagg  0.6545844020
## 153  bnoagg  1.0171054366
## 154  bnoagg  1.0721139325
## 155  bnoagg  0.4544570974
## 156  bnoagg  0.3225127983
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## 1912 bnoagg  0.3186728625
## 1913 bnoagg  0.8702915647
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## 1915 bnoagg  1.1384786218
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## 1917 bnoagg  0.3985271797
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## 1943 bnoagg -0.3068960194
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## 1946 bnoagg  0.6233325067
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## 1949 bnoagg  0.0287264363
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## 1953 bnoagg  0.5235940479
## 1954 bnoagg  0.7917599341
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## 1956 bnoagg  0.1563389254
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## 1959 bnoagg -0.2550127744
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## 1961 bnoagg  1.0012017319
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## 1963 bnoagg  0.8338233516
## 1964 bnoagg -0.0994053004
## 1965 bnoagg  0.5806427768
## 1966 bnoagg -0.1260000759
## 1967 bnoagg  0.7780460264
## 1968 bnoagg  0.4068513009
## 1969 bnoagg  0.4843118000
## 1970 bnoagg  0.7159914920
## 1971 bnoagg  0.3305132994
## 1972 bnoagg  0.1923351494
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## 1974 bnoagg  0.3443073793
## 1975 bnoagg  0.2983686741
## 1976 bnoagg  0.7979120073
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## 1978 bnoagg  0.1169022150
## 1979 bnoagg  0.6278024281
## 1980 bnoagg  0.2061569104
## 1981 bnoagg  0.9619098505
## 1982 bnoagg  0.4646242553
## 1983 bnoagg  0.4012800653
## 1984 bnoagg  0.7037850454
## 1985 bnoagg  0.5087664800
## 1986 bnoagg  0.0845677962
## 1987 bnoagg  0.4718806866
## 1988 bnoagg  0.6222633874
## 1989 bnoagg -0.0608552673
## 1990 bnoagg  0.1144045949
## 1991 bnoagg  0.8604208282
## 1992 bnoagg  0.3659521062
## 1993 bnoagg  0.6159745411
## 1994 bnoagg  1.0697205395
## 1995 bnoagg  0.6563469402
## 1996 bnoagg  0.4737601659
## 1997 bnoagg  0.1909858078
## 1998 bnoagg  0.5078226048
## 1999 bnoagg  0.6458648710
## 2000 bnoagg  0.4682034974
## 2001 bnoagg  0.6792166542
## 2002 bnoagg  0.6874451982
## 2003 bnoagg  0.4796962332
## 2004 bnoagg  0.1286344719
## 2005 bnoagg  0.5815082526
## 2006 bnoagg  0.1085429933
## 2007 bnoagg -0.1453388678
## 2008 bnoagg  0.4776340808
## 2009 bnoagg  0.5575549810
## 2010 bnoagg  0.3188616145
## 2011 bnoagg  0.6662960069
## 2012 bnoagg  0.2806875644
## 2013 bnoagg  0.4752285836
## 2014 bnoagg  0.5446519248
## 2015 bnoagg  0.4937188878
## 2016 bnoagg  0.4469233076
## 2017 bnoagg -0.0794634569
## 2018 bnoagg  0.9936406139
## 2019 bnoagg  0.3840451162
## 2020 bnoagg  0.6501549374
## 2021 bnoagg  0.1393232704
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## 105 vector or matrix parameters omitted in display. Use depth=2 to show them.
##        item         value
## 1    bnoagg  0.9487412241
## 2    bnoagg  0.1149100024
## 3    bnoagg  0.4834389309
## 4    bnoagg  0.7143997320
## 5    bnoagg  0.3752994462
## 6    bnoagg  0.2747148221
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## 10   bnoagg  0.2565497073
## 11   bnoagg  0.3095915758
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## 13   bnoagg  0.4574212349
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## 16   bnoagg  0.6018822670
## 17   bnoagg  0.3440960208
## 18   bnoagg  0.8464322096
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## 21   bnoagg  0.8522320233
## 22   bnoagg  0.6170524541
## 23   bnoagg  0.4639101046
## 24   bnoagg  0.5615405790
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## 29   bnoagg  0.3997979074
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## 1915 bnoagg  1.1384786218
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## 1917 bnoagg  0.3985271797
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## 1943 bnoagg -0.3068960194
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## 1946 bnoagg  0.6233325067
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## 1949 bnoagg  0.0287264363
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## 1951 bnoagg  0.1320046015
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## 1953 bnoagg  0.5235940479
## 1954 bnoagg  0.7917599341
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## 1959 bnoagg -0.2550127744
## 1960 bnoagg  0.6162254966
## 1961 bnoagg  1.0012017319
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## 1963 bnoagg  0.8338233516
## 1964 bnoagg -0.0994053004
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## 1966 bnoagg -0.1260000759
## 1967 bnoagg  0.7780460264
## 1968 bnoagg  0.4068513009
## 1969 bnoagg  0.4843118000
## 1970 bnoagg  0.7159914920
## 1971 bnoagg  0.3305132994
## 1972 bnoagg  0.1923351494
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## 1975 bnoagg  0.2983686741
## 1976 bnoagg  0.7979120073
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## 1978 bnoagg  0.1169022150
## 1979 bnoagg  0.6278024281
## 1980 bnoagg  0.2061569104
## 1981 bnoagg  0.9619098505
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## 1983 bnoagg  0.4012800653
## 1984 bnoagg  0.7037850454
## 1985 bnoagg  0.5087664800
## 1986 bnoagg  0.0845677962
## 1987 bnoagg  0.4718806866
## 1988 bnoagg  0.6222633874
## 1989 bnoagg -0.0608552673
## 1990 bnoagg  0.1144045949
## 1991 bnoagg  0.8604208282
## 1992 bnoagg  0.3659521062
## 1993 bnoagg  0.6159745411
## 1994 bnoagg  1.0697205395
## 1995 bnoagg  0.6563469402
## 1996 bnoagg  0.4737601659
## 1997 bnoagg  0.1909858078
## 1998 bnoagg  0.5078226048
## 1999 bnoagg  0.6458648710
## 2000 bnoagg  0.4682034974
## 2001 bnoagg  0.6792166542
## 2002 bnoagg  0.6874451982
## 2003 bnoagg  0.4796962332
## 2004 bnoagg  0.1286344719
## 2005 bnoagg  0.5815082526
## 2006 bnoagg  0.1085429933
## 2007 bnoagg -0.1453388678
## 2008 bnoagg  0.4776340808
## 2009 bnoagg  0.5575549810
## 2010 bnoagg  0.3188616145
## 2011 bnoagg  0.6662960069
## 2012 bnoagg  0.2806875644
## 2013 bnoagg  0.4752285836
## 2014 bnoagg  0.5446519248
## 2015 bnoagg  0.4937188878
## 2016 bnoagg  0.4469233076
## 2017 bnoagg -0.0794634569
## 2018 bnoagg  0.9936406139
## 2019 bnoagg  0.3840451162
## 2020 bnoagg  0.6501549374
## 2021 bnoagg  0.1393232704
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## 7601  bmean  0.5342349430
## 7602  bmean  1.0421729470
## 7603  bmean  0.6380919716
## 7604  bmean  0.8881981189
## 7605  bmean  0.2977141501
## 7606  bmean  0.5980791747
## 7607  bmean  0.5480574799
## 7608  bmean  0.8094885085
## 7609  bmean  1.0205799116
## 7610  bmean  0.6942629946
## 7611  bmean  0.1364674008
## 7612  bmean  0.6509455487
## 7613  bmean  0.7283089270
## 7614  bmean  0.0247478769
## 7615  bmean  1.0748295661
## 7616  bmean  0.9402367194
## 7617  bmean  0.2596347028
## 7618  bmean  1.1138287851
## 7619  bmean  0.8437248821
## 7620  bmean  0.6413529946
## 7621  bmean  0.7027941898
## 7622  bmean  0.9653240400
## 7623  bmean  0.9283527117
## 7624  bmean  1.0001759795
## 7625  bmean  0.5372729768
## 7626  bmean  0.7093422066
## 7627  bmean  0.8435002690
## 7628  bmean  0.2229767883
## 7629  bmean  0.5240535542
## 7630  bmean  0.3799848423
## 7631  bmean  0.7529897487
## 7632  bmean  1.3043586081
## 7633  bmean  0.9746025590
## 7634  bmean  0.7376411193
## 7635  bmean  0.5898578852
## 7636  bmean  0.4157978478
## 7637  bmean  0.6890567420
## 7638  bmean  0.3345631121
## 7639  bmean  1.1908501307
## 7640  bmean  1.1255001423
## 7641  bmean  1.2996464245
## 7642  bmean  0.2013629799
## 7643  bmean  0.6123508281
## 7644  bmean  0.6621643351
## 7645  bmean  0.6201142823
## 7646  bmean  0.5576449786
## 7647  bmean  0.6847281929
## 7648  bmean  0.8478101525
## 7649  bmean  0.9158953994
## 7650  bmean  0.3608288615
## 7651  bmean  0.7298767750
## 7652  bmean  0.7815519349
## 7653  bmean  0.3850827257
## 7654  bmean  0.8582137233
## 7655  bmean  0.6785635061
## 7656  bmean  0.7973353440
## 7657  bmean  0.8727066439
## 7658  bmean  0.6176772251
## 7659  bmean  0.5288970479
## 7660  bmean  0.7196177357
## 7661  bmean  0.6954000097
## 7662  bmean  0.7841599373
## 7663  bmean  0.7623184361
## 7664  bmean  0.5630116781
## 7665  bmean  0.6730737134
## 7666  bmean  0.2622768339
## 7667  bmean  0.3314966680
## 7668  bmean  0.4029013300
## 7669  bmean  0.9455433295
## 7670  bmean  1.0739038358
## 7671  bmean  0.6820835300
## 7672  bmean  0.8499047869
## 7673  bmean  0.4799762949
## 7674  bmean  0.4443003625
## 7675  bmean  1.1543074103
## 7676  bmean  0.9376020368
## 7677  bmean  0.9259779248
## 7678  bmean  0.6060663896
## 7679  bmean  1.0919613036
## 7680  bmean  0.4110310101
## 7681  bmean  0.9481945200
## 7682  bmean  0.6830480190
## 7683  bmean  0.9702764505
## 7684  bmean  0.8622213963
## 7685  bmean  1.1711457518
## 7686  bmean  0.3522577068
## 7687  bmean  0.7917494230
## 7688  bmean  0.7395828168
## 7689  bmean  1.1418602163
## 7690  bmean  1.0001672108
## 7691  bmean  0.4466080386
## 7692  bmean  0.5682849195
## 7693  bmean  0.5293339127
## 7694  bmean  0.3126069815
## 7695  bmean  0.7138194315
## 7696  bmean  0.9789224275
## 7697  bmean  0.3416409287
## 7698  bmean  1.1608834921
## 7699  bmean  0.4740832476
## 7700  bmean  0.3586587835
## 7701  bmean  0.2779952996
## 7702  bmean  0.8608926804
## 7703  bmean  0.7950422550
## 7704  bmean  0.7186835688
## 7705  bmean  1.1075423075
## 7706  bmean  0.6111289517
## 7707  bmean  0.5292419278
## 7708  bmean  0.7458980729
## 7709  bmean  1.1022610084
## 7710  bmean  0.6498985929
## 7711  bmean  0.9362084943
## 7712  bmean  0.5128903701
## 7713  bmean  0.3335294726
## 7714  bmean  1.0688722162
## 7715  bmean  1.3912335550
## 7716  bmean  0.5983941716
## 7717  bmean  1.2844248080
## 7718  bmean  0.5463581102
## 7719  bmean  1.1565035452
## 7720  bmean  0.6280004694
## 7721  bmean  0.8995883604
## 7722  bmean  0.6531699256
## 7723  bmean  0.0953180649
## 7724  bmean  0.2783451763
## 7725  bmean  0.8928660887
## 7726  bmean -0.0458123626
## 7727  bmean  0.4896919500
## 7728  bmean  0.9731024740
## 7729  bmean  0.2127692397
## 7730  bmean  1.1800414528
## 7731  bmean  1.1711449433
## 7732  bmean  0.2838600389
## 7733  bmean  0.8663680539
## 7734  bmean  0.7321596319
## 7735  bmean  1.0441743129
## 7736  bmean  0.2845847498
## 7737  bmean  0.7340114730
## 7738  bmean  0.8355613405
## 7739  bmean  0.2646789797
## 7740  bmean  0.1984855867
## 7741  bmean  0.7064232843
## 7742  bmean  0.1724644813
## 7743  bmean  1.6876529152
## 7744  bmean  0.8929428171
## 7745  bmean  0.9784357160
## 7746  bmean  0.8030527387
## 7747  bmean  0.4273592467
## 7748  bmean  0.9722073366
## 7749  bmean  0.8161174304
## 7750  bmean  0.8003482958
## 7751  bmean  0.7662741818
## 7752  bmean  0.6117078168
## 7753  bmean  0.5269155100
## 7754  bmean  0.6820980046
## 7755  bmean  0.8304039806
## 7756  bmean  0.2883204062
## 7757  bmean  0.9144034009
## 7758  bmean  1.2216930300
## 7759  bmean  0.5041271134
## 7760  bmean  0.6591427301
## 7761  bmean  0.7185787908
## 7762  bmean  0.6816700242
## 7763  bmean  0.9127991675
## 7764  bmean  1.0309268963
## 7765  bmean  1.1374750854
## 7766  bmean  0.8155088168
## 7767  bmean  0.8216257377
## 7768  bmean  1.0276677817
## 7769  bmean  0.2052981657
## 7770  bmean  0.4227373508
## 7771  bmean  0.9419583183
## 7772  bmean  0.8910129340
## 7773  bmean  1.0115715929
## 7774  bmean  0.2399412066
## 7775  bmean  0.9091757576
## 7776  bmean  0.7007625530
## 7777  bmean  0.3567526317
## 7778  bmean  0.5948957365
## 7779  bmean  1.0231646116
## 7780  bmean  1.3389332165
## 7781  bmean  0.6466356208
## 7782  bmean  0.6787580902
## 7783  bmean  0.8036131791
## 7784  bmean  0.6114336413
## 7785  bmean  0.7168272841
## 7786  bmean  1.2729651567
## 7787  bmean -0.0960043877
## 7788  bmean  0.4956052378
## 7789  bmean  0.4875454567
## 7790  bmean  0.7461205311
## 7791  bmean  0.9340595125
## 7792  bmean  0.5905231044
## 7793  bmean  0.8388345922
## 7794  bmean  0.6364794727
## 7795  bmean  0.7078763144
## 7796  bmean  0.4142174949
## 7797  bmean  0.3407601191
## 7798  bmean  0.6065439068
## 7799  bmean  0.5458309072
## 7800  bmean  0.4876631687
## 7801  bmean  1.0574664872
## 7802  bmean -0.0070459376
## 7803  bmean  0.9717619360
## 7804  bmean  0.8306658161
## 7805  bmean  0.0521410359
## 7806  bmean  0.6358422012
## 7807  bmean  0.8339060494
## 7808  bmean  0.9710442777
## 7809  bmean  0.7363569392
## 7810  bmean  0.5910976901
## 7811  bmean  0.8907142383
## 7812  bmean  0.6730088711
## 7813  bmean  0.4724094506
## 7814  bmean  0.8317863573
## 7815  bmean  0.6424165263
## 7816  bmean  0.7395973435
## 7817  bmean  1.2682189678
## 7818  bmean  0.5162489500
## 7819  bmean  0.7011530383
## 7820  bmean  0.5890974859
## 7821  bmean  0.9953124221
## 7822  bmean  0.7531878798
## 7823  bmean  0.8024905328
## 7824  bmean  1.1799115100
## 7825  bmean  0.3663864818
## 7826  bmean  0.2713319969
## 7827  bmean  0.7423435355
## 7828  bmean  0.9982519970
## 7829  bmean  0.3766139175
## 7830  bmean  0.0054397388
## 7831  bmean -0.1666089767
## 7832  bmean  0.8812602904
## 7833  bmean  0.6011403034
## 7834  bmean  0.4751926250
## 7835  bmean  1.2853141297
## 7836  bmean  0.3507856528
## 7837  bmean  0.7839650350
## 7838  bmean  0.0366256747
## 7839  bmean  0.4793003067
## 7840  bmean  0.4455083623
## 7841  bmean  0.4518970467
## 7842  bmean  1.4700299479
## 7843  bmean  1.3708065974
## 7844  bmean  1.1407279934
## 7845  bmean  0.7646031762
## 7846  bmean  0.6461095460
## 7847  bmean  0.7580640185
## 7848  bmean  0.7573135716
## 7849  bmean  1.2422627288
## 7850  bmean  0.5017374822
## 7851  bmean  0.2264775660
## 7852  bmean  0.6598134258
## 7853  bmean  0.6499830137
## 7854  bmean  0.7375901132
## 7855  bmean  0.1860626269
## 7856  bmean  0.7720601416
## 7857  bmean  0.8531226395
## 7858  bmean  0.0920151696
## 7859  bmean  0.8236640215
## 7860  bmean  0.2068557062
## 7861  bmean  0.6366750323
## 7862  bmean  0.0844247577
## 7863  bmean  0.1598361670
## 7864  bmean  0.7432096032
## 7865  bmean  0.6769753828
## 7866  bmean  0.8688031196
## 7867  bmean  0.4403019310
## 7868  bmean  0.5141664505
## 7869  bmean  0.5538002848
## 7870  bmean  0.4099189585
## 7871  bmean  1.4973976102
## 7872  bmean  0.7303092355
## 7873  bmean  0.7082259596
## 7874  bmean  0.3464624895
## 7875  bmean  0.3542195406
## 7876  bmean  0.7264580287
## 7877  bmean  0.6833388661
## 7878  bmean  0.8455904137
## 7879  bmean  1.0703410897
## 7880  bmean  1.0677739887
## 7881  bmean  0.7320881582
## 7882  bmean  0.5548981573
## 7883  bmean  0.5302586361
## 7884  bmean  0.5879130884
## 7885  bmean  0.3845118931
## 7886  bmean  0.6442372827
## 7887  bmean  0.3004020187
## 7888  bmean  0.5903574951
## 7889  bmean  0.6452494975
## 7890  bmean  1.0058473021
## 7891  bmean  1.0247082798
## 7892  bmean  0.6124578406
## 7893  bmean  0.6223667096
## 7894  bmean  0.5885138863
## 7895  bmean  0.6469603421
## 7896  bmean  0.7532682206
## 7897  bmean  0.8430383518
## 7898  bmean  0.9346333762
## 7899  bmean -0.0910642142
## 7900  bmean  0.5905420722
## 7901  bmean  0.4256690688
## 7902  bmean  0.7405063307
## 7903  bmean  0.5974986174
## 7904  bmean  0.7178375495
## 7905  bmean  1.0937982192
## 7906  bmean  0.4997224575
## 7907  bmean  0.8316421204
## 7908  bmean  0.6101023883
## 7909  bmean  0.6868951000
## 7910  bmean  0.2518387178
## 7911  bmean  0.5664499317
## 7912  bmean  0.2354357312
## 7913  bmean  0.2667491694
## 7914  bmean  0.9940309190
## 7915  bmean  0.7048246915
## 7916  bmean  0.5282657506
## 7917  bmean  0.3767390023
## 7918  bmean  0.8965269358
## 7919  bmean  0.6565742792
## 7920  bmean  0.3222797562
## 7921  bmean  1.0439775143
## 7922  bmean  0.1827329772
## 7923  bmean  1.2274049017
## 7924  bmean  0.9435253793
## 7925  bmean  0.6698055831
## 7926  bmean  0.0790334717
## 7927  bmean  0.4273509317
## 7928  bmean  0.9006092350
## 7929  bmean  0.2933023949
## 7930  bmean  0.4336621638
## 7931  bmean -0.2311746375
## 7932  bmean  1.3289111065
## 7933  bmean  0.3886822605
## 7934  bmean  1.1600079097
## 7935  bmean  1.5404347603
## 7936  bmean  0.6645749492
## 7937  bmean  0.8133527402
## 7938  bmean  0.2900095244
## 7939  bmean  0.0172593303
## 7940  bmean  0.9696220049
## 7941  bmean  0.5025991416
## 7942  bmean  0.7207054778
## 7943  bmean  0.4613746612
## 7944  bmean  0.7412004830
## 7945  bmean  0.3788824193
## 7946  bmean  1.6077560187
## 7947  bmean  0.5993260828
## 7948  bmean  0.7856963670
## 7949  bmean  0.4194120113
## 7950  bmean  0.5188531369
## 7951  bmean  0.9627110649
## 7952  bmean  0.3115536973
## 7953  bmean  0.8589568022
## 7954  bmean  0.5675835860
## 7955  bmean  0.8552620005
## 7956  bmean  0.5931105552
## 7957  bmean  0.6389460907
## 7958  bmean  0.5645377817
## 7959  bmean  1.0254177690
## 7960  bmean  1.0171478783
## 7961  bmean  0.6268098539
## 7962  bmean  0.5730365197
## 7963  bmean  0.8473080677
## 7964  bmean  0.7482558272
## 7965  bmean  1.1171893952
## 7966  bmean  0.9286070987
## 7967  bmean  0.8739518172
## 7968  bmean  0.7463232866
## 7969  bmean  0.9235124749
## 7970  bmean  0.7580779196
## 7971  bmean  1.0322300486
## 7972  bmean  0.3040471533
## 7973  bmean  0.5434800219
## 7974  bmean  0.2929534683
## 7975  bmean  0.3310840572
## 7976  bmean  0.6390686290
## 7977  bmean  0.8393696284
## 7978  bmean  0.7451189926
## 7979  bmean  0.1143554695
## 7980  bmean  0.6615940070
## 7981  bmean  0.3986829038
## 7982  bmean  0.4957987306
## 7983  bmean  0.9708967736
## 7984  bmean  0.7018486299
## 7985  bmean  0.7575614216
## 7986  bmean  0.1207998646
## 7987  bmean  0.8299570716
## 7988  bmean  1.1163818061
## 7989  bmean  0.9327462985
## 7990  bmean  0.7456168175
## 7991  bmean -0.0154179137
## 7992  bmean  0.5697963425
## 7993  bmean  0.5305871066
## 7994  bmean  0.6683314048
## 7995  bmean  0.7021834029
## 7996  bmean  0.5962127268
## 7997  bmean  0.4960663373
## 7998  bmean  0.9795900753
## 7999  bmean  0.5469498094
## 8000  bmean  0.4520069435

Magnitude of Effect Size Estimates - Remove Null

Next, we are interested in the effect magnitude estimates with and without counting of null effect generalizations – when coding for ES observations, there were many that mentioned an effect of no magnitude, i.e. “Neither ad is more effective than the other.” These statements are inherently ambiguous as the participant may have been sensitive to the magnitude of effect and estimated it to be 0 or they may have been thinking more coarsely and dichotomously about effects as either being significant or not. We plot the distributions of magnitude of effect size versus none and investigate the relationship between magnitude of effect size and generalization class. We are also curious about sensisivity to effect size when we remove generalizations that describe null effects or no effects.

df_50 %>%
  subset(df_50$effectSizeMagnitudeRemoveNulls == TRUE, na.rm=TRUE) %>% 
  ddply(.(aggStrat), summarise, 
        TotalIsEffect=sum(effectSizeMagnitude==TRUE), 
        total=sum(correct==TRUE)+sum(correct==FALSE), 
        correct=sum(correct==TRUE), 
        acc=correct/total) 
##      aggStrat TotalIsEffect total correct       acc
## 1      disagg            13    13       8 0.6153846
## 2 disagg+mean            20    20      12 0.6000000
## 3        mean             6     6       4 0.6666667
## Mean accuracy with standard error, taking into account differences between workers
df_50 %>% 
  subset(df_50$effectSizeMagnitudeRemoveNulls == TRUE, na.rm=TRUE) %>%
  ddply(.(workerId, aggStrat), summarise,
        TotalIsEffect=sum(effectSizeMagnitude==TRUE), 
        total=sum(correct==TRUE)+sum(correct==FALSE), 
        correct=sum(correct==TRUE), 
        acc=correct/total) %>%
  ddply(~aggStrat, summarise,
      N = sum((total)),
      meanAcc = mean(acc),
      sd = sd(acc),
      se = sd / sqrt(N))
##      aggStrat  N   meanAcc        sd        se
## 1      disagg 13 0.6250000 0.4826536 0.1338640
## 2 disagg+mean 20 0.5333333 0.5163978 0.1154701
## 3        mean  6 0.6666667 0.5163978 0.2108185

Effect Magnitude Remove Nulls Bayesian Model

Results

##            Mean    StdDev  lower 0.95 upper 0.95    n_eff     Rhat
## bnoagg 1.025193 0.5627030 -0.06311994   2.129558 3164.097 1.001300
## bmean  1.525089 0.5371338  0.50263917   2.607839 2858.994 1.001856
##  a_worker[1]  a_worker[2]  a_worker[3]  a_worker[4]  a_worker[5]  a_worker[6] 
## 6.651482e-01 5.430934e-01 5.112861e-01 1.948685e+00 1.358216e+00 7.237493e-01 
##  a_worker[7]  a_worker[8]  a_worker[9] a_worker[10] a_worker[11] a_worker[12] 
## 8.398152e-01 1.358051e+00 6.727456e-01 5.243503e-01 5.010967e-01 8.019099e-01 
## a_worker[13] a_worker[14] a_worker[15] a_worker[16] a_worker[17] a_worker[18] 
## 5.154345e-01 5.537602e-01 5.491186e-01 6.479411e-01 6.046008e-01 2.247264e+01 
## a_worker[19] a_worker[20] a_worker[21] a_worker[22] a_worker[23] a_worker[24] 
## 5.586351e-01 7.897997e-01 4.195702e+00 5.944090e-01 7.026316e-01 5.765101e-01 
## a_worker[25] a_worker[26] a_worker[27] a_worker[28] a_worker[29] a_worker[30] 
## 6.225732e-01 6.940347e-01 5.752287e-01 1.918976e+00 6.828350e-01 1.000127e+01 
## a_worker[31] a_worker[32] a_worker[33] a_worker[34] a_worker[35] a_worker[36] 
## 2.016812e+00 2.671042e+00 5.526416e+00 7.302358e-01 5.511045e-01 6.266607e-01 
## a_worker[37] a_worker[38] a_worker[39] a_worker[40] a_worker[41] a_worker[42] 
## 7.969136e-01 5.940158e-01 3.539472e+00 6.264367e-01 2.152554e+00 5.719877e-01 
## a_worker[43] a_worker[44] a_worker[45] a_worker[46] a_worker[47] a_worker[48] 
## 4.731297e-01 5.819236e-01 8.838840e-01 7.299351e-01 5.904326e-01 5.204174e+00 
## a_worker[49] a_worker[50] a_worker[51] a_worker[52] a_worker[53] a_worker[54] 
## 7.355903e-01 3.785375e+00 2.221313e+00 7.735166e-01 2.345424e+00 7.047465e-01 
## a_worker[55] a_worker[56] a_worker[57] a_worker[58] a_worker[59] a_worker[60] 
## 2.817271e+00 2.035792e+01 6.666137e-01 6.905975e-01 3.376743e+00 9.253783e-01 
## a_worker[61] a_worker[62] a_worker[63] a_worker[64] a_worker[65] a_worker[66] 
## 6.981626e-01 5.579354e-01 5.784336e-01 6.738215e-01 6.336266e-01 5.880311e-01 
## a_worker[67] a_worker[68] a_worker[69] a_worker[70] a_worker[71] a_worker[72] 
## 2.377948e+00 2.205325e+00 5.867132e-01 5.338861e-01 4.796693e-01 5.477503e+00 
## a_worker[73] a_worker[74] a_worker[75] a_worker[76] a_worker[77] a_worker[78] 
## 6.231280e-01 5.717452e-01 4.210826e+00 6.300772e-01 5.574822e-01 6.199677e-01 
## a_worker[79] a_worker[80] a_worker[81] a_worker[82] a_worker[83] a_worker[84] 
## 7.405906e-01 6.126647e-01 6.671200e-01 3.954981e+00 5.382006e-01 5.089533e-01 
## a_worker[85] a_worker[86] a_worker[87] a_worker[88] a_worker[89] a_worker[90] 
## 2.148627e+00 6.922122e-01 5.398134e-01 5.830916e-01 4.452771e-01 5.745074e-01 
##    a_spec[1]    a_spec[2]    a_spec[3]    a_spec[4]    a_spec[5]    a_spec[6] 
## 2.066213e-01 1.882726e-01 2.274815e-01 2.052520e-01 1.888081e-01 4.013004e-01 
##    a_spec[7]    a_spec[8]    a_spec[9]   a_spec[10]   a_spec[11]   a_spec[12] 
## 8.213402e+00 1.482377e+00 1.541117e+00 1.834227e-01 5.914550e+00 2.027780e+00 
##   a_spec[13]   a_spec[14]   a_spec[15]            a       bnoagg        bmean 
## 3.860221e+00 4.142367e+00 8.381733e+00 6.406245e-04 2.787635e+00 4.595553e+00 
##       btrial sigma_worker   sigma_spec 
## 1.109536e+00 4.425738e+00 6.349959e+00
##            Mean   StdDev lower 0.95 upper 0.95 n_eff     Rhat
## bnoagg 2.787635 1.755411  0.9388309   8.411145   Inf 2.721817
## bmean  4.595553 1.711096  1.6530783  13.569692   Inf 2.723331

Plot

## 105 vector or matrix parameters omitted in display. Use depth=2 to show them.
##        item         value
## 1    bnoagg  0.0982466990
## 2    bnoagg  0.8315754730
## 3    bnoagg  1.5430175624
## 4    bnoagg  1.0820029206
## 5    bnoagg  0.8145966393
## 6    bnoagg  1.1974495074
## 7    bnoagg  1.0295445682
## 8    bnoagg  1.9329906066
## 9    bnoagg  0.6083519153
## 10   bnoagg  1.3101048266
## 11   bnoagg  0.8407603163
## 12   bnoagg  1.4690413997
## 13   bnoagg  1.2113295453
## 14   bnoagg  0.5369824020
## 15   bnoagg  1.4511952188
## 16   bnoagg  0.4846109901
## 17   bnoagg  1.9591029110
## 18   bnoagg  1.1914662105
## 19   bnoagg  0.5121688398
## 20   bnoagg  0.9505898056
## 21   bnoagg  1.2035237151
## 22   bnoagg  0.5709621840
## 23   bnoagg  1.1293815225
## 24   bnoagg  1.1205958323
## 25   bnoagg  1.3031553457
## 26   bnoagg  1.3235461000
## 27   bnoagg  2.2644497988
## 28   bnoagg  0.3562376581
## 29   bnoagg  1.1248725255
## 30   bnoagg  2.4852499090
## 31   bnoagg  0.9985625375
## 32   bnoagg  1.1096925629
## 33   bnoagg  1.8648063783
## 34   bnoagg  1.3954394226
## 35   bnoagg  1.1335548017
## 36   bnoagg  1.8094035004
## 37   bnoagg  1.3178759200
## 38   bnoagg  1.3572203572
## 39   bnoagg  0.5686168453
## 40   bnoagg  0.8986054531
## 41   bnoagg  1.5847089057
## 42   bnoagg  0.6163242290
## 43   bnoagg  1.1459296109
## 44   bnoagg  0.8221625185
## 45   bnoagg  1.3414815927
## 46   bnoagg  1.1434848119
## 47   bnoagg  0.0818192375
## 48   bnoagg  1.0272555956
## 49   bnoagg  1.0273989379
## 50   bnoagg  0.1907102649
## 51   bnoagg  0.5388616761
## 52   bnoagg  1.3171922686
## 53   bnoagg  1.5807906984
## 54   bnoagg  1.1401308724
## 55   bnoagg  1.5936349066
## 56   bnoagg -0.0872267277
## 57   bnoagg  1.1970888424
## 58   bnoagg  1.2246149269
## 59   bnoagg  1.1542435200
## 60   bnoagg  0.8919795883
## 61   bnoagg  1.1930128570
## 62   bnoagg -0.1844407273
## 63   bnoagg  1.1705945029
## 64   bnoagg  0.9498395496
## 65   bnoagg  2.0376539437
## 66   bnoagg  0.9709767788
## 67   bnoagg  0.7056879298
## 68   bnoagg  1.5764506076
## 69   bnoagg  1.0745372594
## 70   bnoagg  0.1046518367
## 71   bnoagg  0.6426754276
## 72   bnoagg  1.0542050567
## 73   bnoagg  1.2874541189
## 74   bnoagg  0.9027905141
## 75   bnoagg  0.8293281870
## 76   bnoagg  2.0944668962
## 77   bnoagg  0.4754845125
## 78   bnoagg  0.5943028552
## 79   bnoagg  0.8904279512
## 80   bnoagg  1.0372889924
## 81   bnoagg  1.3622528268
## 82   bnoagg  1.0654334715
## 83   bnoagg  1.5135862981
## 84   bnoagg  0.6804695043
## 85   bnoagg  1.5222093531
## 86   bnoagg  0.7802142272
## 87   bnoagg  1.8285577611
## 88   bnoagg  0.1671708690
## 89   bnoagg  0.4193511223
## 90   bnoagg -0.5312077675
## 91   bnoagg  1.2029069895
## 92   bnoagg  1.5473308070
## 93   bnoagg  0.8988982815
## 94   bnoagg  1.8372337903
## 95   bnoagg  1.1329750872
## 96   bnoagg -0.0232202612
## 97   bnoagg  0.7323599530
## 98   bnoagg  1.4039094255
## 99   bnoagg  1.1247600085
## 100  bnoagg  0.2678395675
## 101  bnoagg  1.7677353473
## 102  bnoagg  0.7332914124
## 103  bnoagg  1.1478066519
## 104  bnoagg  0.5109625160
## 105  bnoagg  0.4091855229
## 106  bnoagg  2.3571226614
## 107  bnoagg  0.6303843437
## 108  bnoagg  1.0070451830
## 109  bnoagg  2.3118715787
## 110  bnoagg -0.2803221100
## 111  bnoagg  0.2927244435
## 112  bnoagg  1.2774065689
## 113  bnoagg -0.0032297794
## 114  bnoagg  1.5643880708
## 115  bnoagg  1.6060468434
## 116  bnoagg  1.1325409468
## 117  bnoagg -0.3984943925
## 118  bnoagg  0.8610957768
## 119  bnoagg  0.8242183834
## 120  bnoagg  0.6675916314
## 121  bnoagg  0.3601327473
## 122  bnoagg  0.8150638332
## 123  bnoagg  1.1955797221
## 124  bnoagg  1.3792470182
## 125  bnoagg  1.8286210362
## 126  bnoagg  1.2496365551
## 127  bnoagg  1.2199590222
## 128  bnoagg  1.2348231006
## 129  bnoagg  0.5003700023
## 130  bnoagg  1.5100527737
## 131  bnoagg  0.2177116860
## 132  bnoagg  1.4775530673
## 133  bnoagg  0.7770949560
## 134  bnoagg  1.3069444411
## 135  bnoagg  1.2608065507
## 136  bnoagg  0.4091916896
## 137  bnoagg  0.9841543960
## 138  bnoagg  1.2814250707
## 139  bnoagg  1.7268147629
## 140  bnoagg  0.8156573953
## 141  bnoagg  0.5831823946
## 142  bnoagg  2.6458945751
## 143  bnoagg  1.4130061924
## 144  bnoagg  0.6557320417
## 145  bnoagg  0.7035672552
## 146  bnoagg  1.7541721542
## 147  bnoagg  0.8350286178
## 148  bnoagg  1.2096100334
## 149  bnoagg  1.2025281515
## 150  bnoagg  0.8015755381
## 151  bnoagg  0.9350272008
## 152  bnoagg  1.6918096121
## 153  bnoagg  0.9186102126
## 154  bnoagg  0.5788523382
## 155  bnoagg  0.6815903600
## 156  bnoagg  0.7559908994
## 157  bnoagg  0.5254761790
## 158  bnoagg  1.7774485885
## 159  bnoagg  1.2579071714
## 160  bnoagg  0.6570459166
## 161  bnoagg  0.3282274551
## 162  bnoagg  1.1484314021
## 163  bnoagg  1.2964644828
## 164  bnoagg  1.4989270748
## 165  bnoagg  0.8843842980
## 166  bnoagg  1.7044498151
## 167  bnoagg  0.9351112372
## 168  bnoagg  1.1844288800
## 169  bnoagg  1.3729320026
## 170  bnoagg  0.6239052750
## 171  bnoagg  0.8673893405
## 172  bnoagg  0.5508784755
## 173  bnoagg -0.3738619080
## 174  bnoagg  0.9126348606
## 175  bnoagg  0.8604822489
## 176  bnoagg  0.9944047740
## 177  bnoagg  0.9173348144
## 178  bnoagg  1.0867472094
## 179  bnoagg  0.6675889137
## 180  bnoagg  1.0364378200
## 181  bnoagg  0.4832052703
## 182  bnoagg  1.0552477008
## 183  bnoagg  2.1548573651
## 184  bnoagg  1.0410351994
## 185  bnoagg  0.0734960447
## 186  bnoagg  1.1396739932
## 187  bnoagg  1.5413962283
## 188  bnoagg  1.7033729196
## 189  bnoagg  1.2934640151
## 190  bnoagg  0.8225952219
## 191  bnoagg  0.8800603259
## 192  bnoagg  0.5952889075
## 193  bnoagg  1.0503116063
## 194  bnoagg  0.2719385368
## 195  bnoagg  1.7368957569
## 196  bnoagg  0.8811894561
## 197  bnoagg  0.1155029592
## 198  bnoagg  0.9370102235
## 199  bnoagg  0.4777829374
## 200  bnoagg -0.2238548457
## 201  bnoagg  0.1790774632
## 202  bnoagg  1.4298080664
## 203  bnoagg  0.3413000139
## 204  bnoagg  1.2626879072
## 205  bnoagg  1.4174360005
## 206  bnoagg  1.0228962357
## 207  bnoagg  1.0889213315
## 208  bnoagg  1.2225914221
## 209  bnoagg  1.1782734727
## 210  bnoagg  1.2866268162
## 211  bnoagg  0.4910119749
## 212  bnoagg  0.3386260755
## 213  bnoagg  1.0412451977
## 214  bnoagg  2.8151741718
## 215  bnoagg  0.8089989949
## 216  bnoagg  0.7358772072
## 217  bnoagg  0.6521975481
## 218  bnoagg  0.7220191352
## 219  bnoagg  2.3193131978
## 220  bnoagg  0.6584883940
## 221  bnoagg  1.2510625198
## 222  bnoagg -0.0701264472
## 223  bnoagg  1.6535935293
## 224  bnoagg  0.5172468139
## 225  bnoagg  0.7893664395
## 226  bnoagg  0.7150565597
## 227  bnoagg  0.5508500769
## 228  bnoagg  1.1411382727
## 229  bnoagg  1.0250980564
## 230  bnoagg  0.4492810637
## 231  bnoagg  0.0346504094
## 232  bnoagg  0.7480657009
## 233  bnoagg  1.3355652479
## 234  bnoagg  1.4551471563
## 235  bnoagg  2.0524586341
## 236  bnoagg  1.9725657890
## 237  bnoagg  1.2859282468
## 238  bnoagg  1.0597190959
## 239  bnoagg  1.4901027980
## 240  bnoagg  0.9420873036
## 241  bnoagg  1.0395094278
## 242  bnoagg  1.6944260634
## 243  bnoagg  0.6878475612
## 244  bnoagg  1.1205601873
## 245  bnoagg  0.5930504101
## 246  bnoagg  0.6062242738
## 247  bnoagg  0.8613202978
## 248  bnoagg  0.1552065558
## 249  bnoagg  1.8427054325
## 250  bnoagg  1.3730646916
## 251  bnoagg  0.7791544490
## 252  bnoagg  0.9089322719
## 253  bnoagg  0.5293731740
## 254  bnoagg  1.1110310155
## 255  bnoagg  0.7520105336
## 256  bnoagg  1.3022444044
## 257  bnoagg  1.3447011534
## 258  bnoagg  0.4527348045
## 259  bnoagg  1.3156230470
## 260  bnoagg  0.1818693738
## 261  bnoagg  0.2304070306
## 262  bnoagg  0.9373879960
## 263  bnoagg  2.4445653522
## 264  bnoagg  0.9058216743
## 265  bnoagg  1.4162922397
## 266  bnoagg  1.7834055852
## 267  bnoagg  2.2270002665
## 268  bnoagg  1.5143861609
## 269  bnoagg  0.7931458129
## 270  bnoagg  1.4713635136
## 271  bnoagg  0.2972641947
## 272  bnoagg  1.8725706188
## 273  bnoagg  0.8917251531
## 274  bnoagg  1.1396554119
## 275  bnoagg  0.7625864692
## 276  bnoagg  1.3523548334
## 277  bnoagg  0.8904630713
## 278  bnoagg  1.2933513981
## 279  bnoagg  1.1810582697
## 280  bnoagg  1.5389421517
## 281  bnoagg  0.5711481911
## 282  bnoagg  0.5451974459
## 283  bnoagg  1.2395428902
## 284  bnoagg  1.1231339522
## 285  bnoagg  0.9475307860
## 286  bnoagg  0.6851000444
## 287  bnoagg  1.1735687865
## 288  bnoagg  1.6279900961
## 289  bnoagg  1.0200222497
## 290  bnoagg  1.0242881751
## 291  bnoagg  0.9197864365
## 292  bnoagg  2.2234601167
## 293  bnoagg  1.4575702290
## 294  bnoagg  0.5255254750
## 295  bnoagg  1.2139174656
## 296  bnoagg  0.8842510050
## 297  bnoagg  0.9734915782
## 298  bnoagg  1.0338278116
## 299  bnoagg  1.3695750039
## 300  bnoagg  0.7946803234
## 301  bnoagg  0.6094371033
## 302  bnoagg  2.2874646949
## 303  bnoagg  0.5673701381
## 304  bnoagg  1.6105385350
## 305  bnoagg  1.5949283846
## 306  bnoagg  0.4021609915
## 307  bnoagg  0.9312414026
## 308  bnoagg  0.4040510495
## 309  bnoagg  0.6396079010
## 310  bnoagg  0.6129840757
## 311  bnoagg  1.4812395909
## 312  bnoagg  2.5754113210
## 313  bnoagg  1.2873875051
## 314  bnoagg  0.9423192386
## 315  bnoagg  1.2914018221
## 316  bnoagg  2.1190637454
## 317  bnoagg -0.0514951786
## 318  bnoagg  1.1667287629
## 319  bnoagg  1.1127151685
## 320  bnoagg  1.2293930686
## 321  bnoagg  0.4191454589
## 322  bnoagg  0.6948781158
## 323  bnoagg  0.7852412446
## 324  bnoagg  1.1794417050
## 325  bnoagg  1.2389309210
## 326  bnoagg  1.8907523229
## 327  bnoagg  2.3260241473
## 328  bnoagg  0.9554944926
## 329  bnoagg  1.5109959193
## 330  bnoagg  0.4746542061
## 331  bnoagg  1.5873613665
## 332  bnoagg  1.7481928172
## 333  bnoagg  0.6571701029
## 334  bnoagg  0.6565791854
## 335  bnoagg  1.8089701037
## 336  bnoagg  1.7250775993
## 337  bnoagg  0.3682530677
## 338  bnoagg  1.2130999898
## 339  bnoagg  0.3764904300
## 340  bnoagg  0.8399918478
## 341  bnoagg  1.9751530386
## 342  bnoagg  1.4818197812
## 343  bnoagg  0.7932193184
## 344  bnoagg  1.0596851487
## 345  bnoagg  0.8442289471
## 346  bnoagg  1.3421897596
## 347  bnoagg  1.7753418251
## 348  bnoagg  0.6577215050
## 349  bnoagg  0.3956697042
## 350  bnoagg  2.8359750301
## 351  bnoagg  1.5083226275
## 352  bnoagg  1.6105577875
## 353  bnoagg  0.3496725789
## 354  bnoagg  1.0060531369
## 355  bnoagg  1.1238897395
## 356  bnoagg  2.2917177407
## 357  bnoagg  1.6871797678
## 358  bnoagg -0.0986112856
## 359  bnoagg  1.0656918976
## 360  bnoagg  0.5224269915
## 361  bnoagg  1.0463355358
## 362  bnoagg  2.0251157096
## 363  bnoagg  1.0434277082
## 364  bnoagg  0.5126382817
## 365  bnoagg  1.5161426748
## 366  bnoagg  0.6625571231
## 367  bnoagg  0.4275586311
## 368  bnoagg -0.4343326435
## 369  bnoagg  1.1492163034
## 370  bnoagg  1.1015184686
## 371  bnoagg  0.3049322429
## 372  bnoagg  0.0804868626
## 373  bnoagg  0.4689793785
## 374  bnoagg  1.2724150340
## 375  bnoagg  0.7057613712
## 376  bnoagg  0.8914605574
## 377  bnoagg  1.3682793431
## 378  bnoagg  1.5804431464
## 379  bnoagg  0.1382557776
## 380  bnoagg  1.1194957643
## 381  bnoagg  1.1914867799
## 382  bnoagg  1.1843725116
## 383  bnoagg  0.6049509355
## 384  bnoagg  0.6771699861
## 385  bnoagg  1.0322495108
## 386  bnoagg  1.2578279359
## 387  bnoagg  0.5653219926
## 388  bnoagg  1.0269880331
## 389  bnoagg  0.0921426070
## 390  bnoagg  1.0365591044
## 391  bnoagg  0.9415402340
## 392  bnoagg  0.7953045813
## 393  bnoagg  0.5083645702
## 394  bnoagg  1.3850049997
## 395  bnoagg  0.4986257275
## 396  bnoagg  0.9805776533
## 397  bnoagg  0.9315508127
## 398  bnoagg  0.6348635015
## 399  bnoagg  1.1734664665
## 400  bnoagg  1.2461935120
## 401  bnoagg  0.5378624957
## 402  bnoagg  1.6245859099
## 403  bnoagg  1.3038352128
## 404  bnoagg  0.7167115409
## 405  bnoagg  1.0691973163
## 406  bnoagg -0.1833492785
## 407  bnoagg  0.8836789858
## 408  bnoagg  0.7497347571
## 409  bnoagg  2.5014890796
## 410  bnoagg  1.2142147956
## 411  bnoagg  0.1961216782
## 412  bnoagg  0.3109872742
## 413  bnoagg  1.3818969069
## 414  bnoagg  0.3340231007
## 415  bnoagg  1.7603391577
## 416  bnoagg  0.6456650836
## 417  bnoagg -0.0666022301
## 418  bnoagg  0.8007759275
## 419  bnoagg  0.7090635305
## 420  bnoagg  0.3385444748
## 421  bnoagg -0.1397562510
## 422  bnoagg  0.6857538854
## 423  bnoagg  1.3499799533
## 424  bnoagg  1.9775450928
## 425  bnoagg  0.4302242250
## 426  bnoagg  1.4833189646
## 427  bnoagg  0.3860858700
## 428  bnoagg  1.8228224867
## 429  bnoagg  0.2194519920
## 430  bnoagg  1.1607275730
## 431  bnoagg  0.5263213957
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## 433  bnoagg  0.7568213568
## 434  bnoagg  1.7012975845
## 435  bnoagg  1.3204251226
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## 437  bnoagg  0.6458608928
## 438  bnoagg  1.1942143721
## 439  bnoagg  2.2063251750
## 440  bnoagg -0.2458655426
## 441  bnoagg  1.6452727852
## 442  bnoagg  1.4962776070
## 443  bnoagg  0.1485988921
## 444  bnoagg  0.0793359385
## 445  bnoagg  0.7968621893
## 446  bnoagg  1.5384468170
## 447  bnoagg  1.7091091151
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## 449  bnoagg  0.6326683340
## 450  bnoagg  1.8285591113
## 451  bnoagg  1.8158924852
## 452  bnoagg  2.1295575903
## 453  bnoagg  0.5508421886
## 454  bnoagg  0.5850440002
## 455  bnoagg  1.5088956407
## 456  bnoagg  1.1044987700
## 457  bnoagg  0.7114670455
## 458  bnoagg  1.6366457303
## 459  bnoagg  0.9566061878
## 460  bnoagg  0.8009369758
## 461  bnoagg  0.6501722857
## 462  bnoagg  1.0567699671
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## 464  bnoagg  1.1657164087
## 465  bnoagg -0.1424245400
## 466  bnoagg  1.2522184439
## 467  bnoagg  0.8513031083
## 468  bnoagg  0.1545238924
## 469  bnoagg  1.2625465919
## 470  bnoagg  1.7408320462
## 471  bnoagg  1.0254289706
## 472  bnoagg  1.0149307842
## 473  bnoagg  0.6833113917
## 474  bnoagg  1.3072558708
## 475  bnoagg  0.6154319804
## 476  bnoagg  1.7301537211
## 477  bnoagg  1.6814667049
## 478  bnoagg  1.4042271309
## 479  bnoagg  1.4166888575
## 480  bnoagg  0.8196367174
## 481  bnoagg  0.7650367510
## 482  bnoagg  1.0649416820
## 483  bnoagg  0.9707300402
## 484  bnoagg  0.9708354065
## 485  bnoagg  0.0263275584
## 486  bnoagg  0.7989976231
## 487  bnoagg  1.4247643219
## 488  bnoagg  1.2555537661
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## 490  bnoagg  1.1329675182
## 491  bnoagg  1.2881882398
## 492  bnoagg  0.8136668932
## 493  bnoagg  1.1821430150
## 494  bnoagg  1.5539990580
## 495  bnoagg  1.1658544907
## 496  bnoagg  0.9960062690
## 497  bnoagg  1.3790930131
## 498  bnoagg  0.2278985889
## 499  bnoagg  1.6141593115
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## 1880 bnoagg  1.0763971892
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## 1884 bnoagg  1.2943374327
## 1885 bnoagg  1.2939328725
## 1886 bnoagg  1.1804008512
## 1887 bnoagg  1.1362223832
## 1888 bnoagg  2.0080448951
## 1889 bnoagg  0.8152043017
## 1890 bnoagg  0.8044256556
## 1891 bnoagg  0.9015560679
## 1892 bnoagg  1.5313778174
## 1893 bnoagg  0.4153678083
## 1894 bnoagg  1.4572934194
## 1895 bnoagg  1.7328515900
## 1896 bnoagg  2.2286212252
## 1897 bnoagg  0.7858235779
## 1898 bnoagg  1.3695364151
## 1899 bnoagg  0.5720598716
## 1900 bnoagg  1.4697925355
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## 1904 bnoagg  1.8093826391
## 1905 bnoagg  1.7723146075
## 1906 bnoagg  0.3373444995
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## 1908 bnoagg  0.8519645649
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## 1910 bnoagg  0.8568787288
## 1911 bnoagg  1.1367369060
## 1912 bnoagg  0.8048330418
## 1913 bnoagg  0.7399658215
## 1914 bnoagg  0.3846592298
## 1915 bnoagg  0.7369987414
## 1916 bnoagg  1.1940814922
## 1917 bnoagg  0.6245308241
## 1918 bnoagg  1.1506538630
## 1919 bnoagg  0.1630704140
## 1920 bnoagg  1.1521766988
## 1921 bnoagg  0.7692398295
## 1922 bnoagg  1.2463602989
## 1923 bnoagg  2.1996993955
## 1924 bnoagg  0.3184033887
## 1925 bnoagg  0.5135979137
## 1926 bnoagg  1.0425749546
## 1927 bnoagg  1.0125071415
## 1928 bnoagg  1.2004695617
## 1929 bnoagg  0.1466915983
## 1930 bnoagg  1.1928730794
## 1931 bnoagg  1.1083932898
## 1932 bnoagg  1.6129652613
## 1933 bnoagg  1.4384492803
## 1934 bnoagg  1.0490652998
## 1935 bnoagg  0.4002294287
## 1936 bnoagg  2.0370586666
## 1937 bnoagg  0.4962666266
## 1938 bnoagg  0.9045154705
## 1939 bnoagg  1.1812704977
## 1940 bnoagg  0.6740122383
## 1941 bnoagg  0.9412040047
## 1942 bnoagg  0.5368281946
## 1943 bnoagg  1.7748794007
## 1944 bnoagg  0.2125724975
## 1945 bnoagg  0.9954751920
## 1946 bnoagg  0.2950853915
## 1947 bnoagg  0.8238457212
## 1948 bnoagg  1.4036128089
## 1949 bnoagg  1.2258940808
## 1950 bnoagg  0.9223862082
## 1951 bnoagg  1.2543177263
## 1952 bnoagg  0.6291099011
## 1953 bnoagg  2.1976926570
## 1954 bnoagg  0.8441842223
## 1955 bnoagg  1.0319174025
## 1956 bnoagg  1.3528708374
## 1957 bnoagg  0.6844719333
## 1958 bnoagg  0.0329070790
## 1959 bnoagg  2.3425001438
## 1960 bnoagg  0.2422281366
## 1961 bnoagg  0.6852122495
## 1962 bnoagg  0.8597330556
## 1963 bnoagg  1.4704425690
## 1964 bnoagg  1.6280282077
## 1965 bnoagg  0.5812571245
## 1966 bnoagg  1.2749778562
## 1967 bnoagg  1.3394137521
## 1968 bnoagg  1.0542091911
## 1969 bnoagg  2.1675110504
## 1970 bnoagg  0.3463764533
## 1971 bnoagg  1.7702074558
## 1972 bnoagg  1.2874923874
## 1973 bnoagg  0.4765392966
## 1974 bnoagg  0.4220895121
## 1975 bnoagg  1.1036155028
## 1976 bnoagg  1.7737009632
## 1977 bnoagg  1.5414286423
## 1978 bnoagg  2.1490893287
## 1979 bnoagg  0.6411634479
## 1980 bnoagg  0.6359116376
## 1981 bnoagg  0.6935529836
## 1982 bnoagg  1.1340502425
## 1983 bnoagg  1.2319404963
## 1984 bnoagg  0.4449099984
## 1985 bnoagg  0.4143015473
## 1986 bnoagg  1.8234216689
## 1987 bnoagg  0.8537711504
## 1988 bnoagg -0.0629492461
## 1989 bnoagg  0.9367088758
## 1990 bnoagg  1.4967675480
## 1991 bnoagg  1.3374366413
## 1992 bnoagg -0.1279378000
## 1993 bnoagg  1.1701193708
## 1994 bnoagg  1.6251914985
## 1995 bnoagg  1.0141660612
## 1996 bnoagg  2.3961388102
## 1997 bnoagg  0.9474290976
## 1998 bnoagg  1.5286291534
## 1999 bnoagg  0.5703387717
## 2000 bnoagg  0.8300208392
## 2001 bnoagg  1.1837414225
## 2002 bnoagg  0.5956050777
## 2003 bnoagg  0.9817115891
## 2004 bnoagg  2.1540003562
## 2005 bnoagg  1.3681520248
## 2006 bnoagg  0.6390881886
## 2007 bnoagg  1.0139741052
## 2008 bnoagg  0.9608014577
## 2009 bnoagg  0.7969624953
## 2010 bnoagg  0.5340903369
## 2011 bnoagg  0.6150691385
## 2012 bnoagg  1.5755266506
## 2013 bnoagg  0.5424445272
## 2014 bnoagg  1.2322367523
## 2015 bnoagg  0.7635418918
## 2016 bnoagg  2.8512576357
## 2017 bnoagg  1.3451093077
## 2018 bnoagg -0.5160950728
## 2019 bnoagg  0.0117504580
## 2020 bnoagg  1.5632180361
## 2021 bnoagg  1.0526556175
## 2022 bnoagg  0.5467334260
## 2023 bnoagg  1.0520820241
## 2024 bnoagg  0.7038317809
## 2025 bnoagg  0.2641931377
## 2026 bnoagg  0.8661218221
## 2027 bnoagg  1.2318393019
## 2028 bnoagg  0.9449908528
## 2029 bnoagg  1.3486194687
## 2030 bnoagg  0.9612297998
## 2031 bnoagg  1.3798114708
## 2032 bnoagg  0.6787226444
## 2033 bnoagg -0.0226441157
## 2034 bnoagg  1.1717175578
## 2035 bnoagg  1.2808986791
## 2036 bnoagg  1.0114184602
## 2037 bnoagg  0.9532500278
## 2038 bnoagg  0.8241255304
## 2039 bnoagg  1.4645976318
## 2040 bnoagg  0.6376939767
## 2041 bnoagg  0.9299073338
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## 2044 bnoagg  1.5453485200
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## 2063 bnoagg  2.3388278920
## 2064 bnoagg  0.5660444043
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## 2066 bnoagg  1.8982664376
## 2067 bnoagg  0.8278587076
## 2068 bnoagg  0.9809423323
## 2069 bnoagg  2.1952225836
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## 7947  bmean  0.6264574249
## 7948  bmean  2.1578401441
## 7949  bmean  1.9428165886
## 7950  bmean  1.6731347844
## 7951  bmean  1.0054002853
## 7952  bmean  1.7873987346
## 7953  bmean  0.9013061040
## 7954  bmean  2.0046318894
## 7955  bmean  0.8212305040
## 7956  bmean  0.8684156993
## 7957  bmean  1.5221813661
## 7958  bmean  0.4486028235
## 7959  bmean  1.3273474693
## 7960  bmean  1.5212085941
## 7961  bmean  1.9115042927
## 7962  bmean  1.1378189521
## 7963  bmean  1.3326096208
## 7964  bmean  1.7874141875
## 7965  bmean -0.0888076062
## 7966  bmean  1.5715386187
## 7967  bmean  1.0442752002
## 7968  bmean  0.5219152879
## 7969  bmean  1.7385348973
## 7970  bmean  1.0250219857
## 7971  bmean  0.9288076529
## 7972  bmean  0.7286746535
## 7973  bmean  1.9332904302
## 7974  bmean  0.7004889086
## 7975  bmean  0.6099493032
## 7976  bmean  1.2432878828
## 7977  bmean  1.8992681255
## 7978  bmean  2.1688676537
## 7979  bmean  1.4303077272
## 7980  bmean  1.1903955867
## 7981  bmean  2.3150895501
## 7982  bmean  2.2065533380
## 7983  bmean  2.1772348790
## 7984  bmean  1.0161049076
## 7985  bmean  1.7788313795
## 7986  bmean  1.6421148002
## 7987  bmean  2.1719984651
## 7988  bmean  1.5637304912
## 7989  bmean  1.3030084197
## 7990  bmean  0.7330486674
## 7991  bmean  1.1427625986
## 7992  bmean  1.0896709448
## 7993  bmean  0.7908302076
## 7994  bmean  1.6008358221
## 7995  bmean  1.7223453083
## 7996  bmean  0.7382243516
## 7997  bmean  1.7010080761
## 7998  bmean  1.0996678234
## 7999  bmean  2.4575183750
## 8000  bmean  2.8228385772

## Subset our original data frame based on the removing the null effect values,
## then calculate a 95% confidence interval for error bars
df_50 %>% 
  subset(df_50$effectSizeMagnitudeRemoveNulls == FALSE, na.rm=TRUE) %>%
  ddply(.(workerId, aggStrat), summarise,
        TotalIsEffect=sum(effectSizeMagnitude==TRUE), 
        total=sum(correct==TRUE)+sum(correct==FALSE), 
        correct=sum(correct==TRUE), 
        acc=correct/total) %>%
  ddply(~aggStrat, summarise,
      N = sum((total)),
      meanAcc = mean(acc),
      sd = sd(acc),
      se = sd / sqrt(N))
##      aggStrat   N   meanAcc        sd         se
## 1      disagg 537 0.4957530 0.2337081 0.01008525
## 2 disagg+mean 538 0.5272777 0.2449560 0.01056080
## 3        mean 494 0.4999401 0.2824277 0.01270702

Dichotomous Descriptive Statistics

We do an exploratory analysis of a code to investigate generalizations that do not include a magnitude of effect, but infer an effect or not (i.e. “Number of time on sites is pretty unrelated to the number of visits” or “Ad Campaign B resulted in the greatest number of purchases”). We find that the mean aggregation strategy has the highest rate of dichotomous thinking, at 49%, vs disaggregation with means at 46%, and finally disaggregation at 37%. This supports our hypothesis that there will be a higher rate of generalizations coded as dichotomous under the mean aggregation condition.

df_50 %>%
  subset(df_50$dichotomous == TRUE, na.rm=TRUE) %>%
  ddply(.(aggStrat), summarise,
        total=sum(correct==TRUE)+sum(correct==FALSE),
        percentOfTotal=total/618,
        Correct=sum(correct==TRUE),
        acc=Correct/total) # hard coded from nrow of subset(df_50$dichotomous == TRUE, na.rm=TRUE)
##      aggStrat total percentOfTotal Correct       acc
## 1      disagg   234      0.3786408      96 0.4102564
## 2 disagg+mean   234      0.3786408     116 0.4957265
## 3        mean   339      0.5485437     176 0.5191740
## Mean accuracy with standard error, taking into account differences between workers
df_50 %>% 
  subset(df_50$dichotomous == TRUE, na.rm=TRUE) %>%
  ddply(.(workerId, aggStrat), summarise,
        TotalIsEffect=sum(effectSizeMagnitude==TRUE), 
        total=sum(correct==TRUE)+sum(correct==FALSE), 
        correct=sum(correct==TRUE), 
        accuracy=correct/total) %>%
  ddply(~aggStrat, summarise,
      N = sum((total)),
      meanAccuracy = mean(accuracy),
      sd = sd(accuracy),
      se = sd / sqrt(N))
##      aggStrat   N meanAccuracy        sd         se
## 1      disagg 234    0.3715507 0.3415581 0.02232835
## 2 disagg+mean 234    0.4620956 0.3671058 0.02399846
## 3        mean 339    0.4948591 0.3458809 0.01878567
## Using aggStrat as id variables

Dichotomous Bayesian Model

##             Mean    StdDev lower 0.95 upper 0.95    n_eff     Rhat
## bnoagg -1.785516 0.1994063  -2.178903  -1.407494 5123.981 1.000024
## bmean  -1.732061 0.1990793  -2.127718  -1.352198 4968.842 1.000038
## 105 vector or matrix parameters omitted in display. Use depth=2 to show them.
##             Mean   StdDev lower 0.95 upper 0.95 n_eff     Rhat
## bnoagg 0.1677104 1.220678  0.1131656  0.2447559   Inf 2.718347
## bmean  0.1769194 1.220279  0.1191087  0.2586711   Inf 2.718385
##  a_worker[1]  a_worker[2]  a_worker[3]  a_worker[4]  a_worker[5]  a_worker[6] 
##   1.25313827   1.79262395   0.79993725   1.49477515   0.98793183   0.57730640 
##  a_worker[7]  a_worker[8]  a_worker[9] a_worker[10] a_worker[11] a_worker[12] 
##   0.57383496   0.84090377   1.61848927   0.43892260   0.58318687   0.71335822 
## a_worker[13] a_worker[14] a_worker[15] a_worker[16] a_worker[17] a_worker[18] 
##   0.40796421   1.39022173   1.45698819   1.81713463   1.18700755   0.59156591 
## a_worker[19] a_worker[20] a_worker[21] a_worker[22] a_worker[23] a_worker[24] 
##   0.82940768   1.02057893   0.61622120   0.94961321   1.01918181   0.92329368 
## a_worker[25] a_worker[26] a_worker[27] a_worker[28] a_worker[29] a_worker[30] 
##   1.65951557   0.92426295   0.69680381   1.16279267   1.71688401   0.61359002 
## a_worker[31] a_worker[32] a_worker[33] a_worker[34] a_worker[35] a_worker[36] 
##   0.51580283   1.14481044   0.80941065   1.71024539   0.97291282   0.64581534 
## a_worker[37] a_worker[38] a_worker[39] a_worker[40] a_worker[41] a_worker[42] 
##   1.34563428   1.92982729   1.05725830   0.82936006   0.67265401   1.01437694 
## a_worker[43] a_worker[44] a_worker[45] a_worker[46] a_worker[47] a_worker[48] 
##   1.27299942   1.42889638   0.73040201   1.60304784   0.57517524   0.67033305 
## a_worker[49] a_worker[50] a_worker[51] a_worker[52] a_worker[53] a_worker[54] 
##   1.33177720   0.68011781   1.01241557   1.47328950   1.24986297   1.53979114 
## a_worker[55] a_worker[56] a_worker[57] a_worker[58] a_worker[59] a_worker[60] 
##   0.90755187   0.36958212   1.32599530   1.14805872   0.86760254   1.06837950 
## a_worker[61] a_worker[62] a_worker[63] a_worker[64] a_worker[65] a_worker[66] 
##   1.66573184   1.48433264   0.99182054   0.47429342   1.31777672   1.30262698 
## a_worker[67] a_worker[68] a_worker[69] a_worker[70] a_worker[71] a_worker[72] 
##   1.74361746   2.01428838   1.04576917   2.25534382   1.09479294   1.33252644 
## a_worker[73] a_worker[74] a_worker[75] a_worker[76] a_worker[77] a_worker[78] 
##   0.60534718   1.65097839   1.02202587   0.87129700   0.94369787   2.04448542 
## a_worker[79] a_worker[80] a_worker[81] a_worker[82] a_worker[83] a_worker[84] 
##   1.00789184   0.64417670   0.91320009   1.23782432   2.19056236   1.47810217 
## a_worker[85] a_worker[86] a_worker[87] a_worker[88] a_worker[89] a_worker[90] 
##   1.29422465   1.71418129   0.18201284   1.95389080   0.16710104   0.77364525 
##    a_spec[1]    a_spec[2]    a_spec[3]    a_spec[4]    a_spec[5]    a_spec[6] 
##   0.02665719   0.01637667   0.04767761   0.07734404   0.06067743   9.63080871 
##    a_spec[7]    a_spec[8]    a_spec[9]   a_spec[10]   a_spec[11]   a_spec[12] 
##   6.66566899  11.29841459   6.22805256   7.88781472   1.37650985   6.87109716 
##   a_spec[13]   a_spec[14]   a_spec[15]            a       bnoagg        bmean 
##   2.27692948   5.46209192   2.62215314   1.90546866   0.16771044   0.17691942 
##       btrial sigma_worker   sigma_spec 
##   0.99467071   2.02358309  12.64283629
## 105 vector or matrix parameters omitted in display. Use depth=2 to show them.
##        item     value
## 1    bnoagg -1.907294
## 2    bnoagg -1.782195
## 3    bnoagg -1.972316
## 4    bnoagg -1.828859
## 5    bnoagg -1.874933
## 6    bnoagg -1.558789
## 7    bnoagg -1.910034
## 8    bnoagg -1.283908
## 9    bnoagg -2.038172
## 10   bnoagg -1.860858
## 11   bnoagg -1.672640
## 12   bnoagg -2.106181
## 13   bnoagg -1.621742
## 14   bnoagg -2.056701
## 15   bnoagg -1.821354
## 16   bnoagg -1.490395
## 17   bnoagg -1.561074
## 18   bnoagg -1.949443
## 19   bnoagg -1.814256
## 20   bnoagg -2.194886
## 21   bnoagg -1.841366
## 22   bnoagg -2.058451
## 23   bnoagg -1.810604
## 24   bnoagg -1.943964
## 25   bnoagg -1.702694
## 26   bnoagg -1.683232
## 27   bnoagg -1.788928
## 28   bnoagg -1.847856
## 29   bnoagg -1.673789
## 30   bnoagg -2.046704
## 31   bnoagg -1.373387
## 32   bnoagg -1.564549
## 33   bnoagg -1.909481
## 34   bnoagg -1.641370
## 35   bnoagg -1.788699
## 36   bnoagg -2.051093
## 37   bnoagg -2.055297
## 38   bnoagg -1.962552
## 39   bnoagg -1.739743
## 40   bnoagg -1.993334
## 41   bnoagg -1.536003
## 42   bnoagg -1.621197
## 43   bnoagg -1.635573
## 44   bnoagg -1.842414
## 45   bnoagg -1.495014
## 46   bnoagg -1.505528
## 47   bnoagg -2.268684
## 48   bnoagg -1.855685
## 49   bnoagg -2.139518
## 50   bnoagg -1.542722
## 51   bnoagg -1.749681
## 52   bnoagg -1.809091
## 53   bnoagg -2.174185
## 54   bnoagg -1.737070
## 55   bnoagg -1.646540
## 56   bnoagg -2.046910
## 57   bnoagg -1.663080
## 58   bnoagg -1.991962
## 59   bnoagg -1.645904
## 60   bnoagg -1.739599
## 61   bnoagg -1.764624
## 62   bnoagg -1.971407
## 63   bnoagg -2.031818
## 64   bnoagg -2.165070
## 65   bnoagg -1.786928
## 66   bnoagg -1.561639
## 67   bnoagg -1.826136
## 68   bnoagg -1.710751
## 69   bnoagg -1.527556
## 70   bnoagg -1.903689
## 71   bnoagg -1.799589
## 72   bnoagg -1.816657
## 73   bnoagg -1.709268
## 74   bnoagg -1.664437
## 75   bnoagg -1.559752
## 76   bnoagg -1.699439
## 77   bnoagg -1.687565
## 78   bnoagg -1.918570
## 79   bnoagg -1.704981
## 80   bnoagg -1.873594
## 81   bnoagg -1.749613
## 82   bnoagg -1.796299
## 83   bnoagg -1.884579
## 84   bnoagg -1.800748
## 85   bnoagg -1.367595
## 86   bnoagg -1.795939
## 87   bnoagg -1.597076
## 88   bnoagg -1.767149
## 89   bnoagg -1.774035
## 90   bnoagg -1.854074
## 91   bnoagg -1.649864
## 92   bnoagg -2.111559
## 93   bnoagg -1.869305
## 94   bnoagg -1.943039
## 95   bnoagg -1.539314
## 96   bnoagg -1.460859
## 97   bnoagg -1.816542
## 98   bnoagg -1.296912
## 99   bnoagg -1.741402
## 100  bnoagg -1.847576
## 101  bnoagg -1.341103
## 102  bnoagg -1.652683
## 103  bnoagg -2.198442
## 104  bnoagg -1.533530
## 105  bnoagg -1.807663
## 106  bnoagg -1.658972
## 107  bnoagg -1.717360
## 108  bnoagg -1.629006
## 109  bnoagg -2.279550
## 110  bnoagg -1.899396
## 111  bnoagg -2.031395
## 112  bnoagg -1.559707
## 113  bnoagg -1.595045
## 114  bnoagg -1.889706
## 115  bnoagg -1.825626
## 116  bnoagg -1.765610
## 117  bnoagg -1.958345
## 118  bnoagg -1.433861
## 119  bnoagg -1.400940
## 120  bnoagg -2.022839
## 121  bnoagg -1.902777
## 122  bnoagg -2.033524
## 123  bnoagg -1.658571
## 124  bnoagg -2.006282
## 125  bnoagg -1.917045
## 126  bnoagg -1.983204
## 127  bnoagg -1.870162
## 128  bnoagg -1.739680
## 129  bnoagg -2.229044
## 130  bnoagg -2.143609
## 131  bnoagg -1.502421
## 132  bnoagg -1.977420
## 133  bnoagg -2.037921
## 134  bnoagg -2.006032
## 135  bnoagg -2.397048
## 136  bnoagg -1.691954
## 137  bnoagg -1.846918
## 138  bnoagg -1.733040
## 139  bnoagg -1.608864
## 140  bnoagg -2.193847
## 141  bnoagg -1.635905
## 142  bnoagg -1.906014
## 143  bnoagg -1.833038
## 144  bnoagg -1.796794
## 145  bnoagg -2.067187
## 146  bnoagg -1.806151
## 147  bnoagg -1.942053
## 148  bnoagg -1.460258
## 149  bnoagg -1.844048
## 150  bnoagg -1.910940
## 151  bnoagg -1.828958
## 152  bnoagg -1.684855
## 153  bnoagg -1.408037
## 154  bnoagg -1.725853
## 155  bnoagg -1.448846
## 156  bnoagg -1.654350
## 157  bnoagg -2.019405
## 158  bnoagg -1.837855
## 159  bnoagg -1.679179
## 160  bnoagg -2.019883
## 161  bnoagg -1.719917
## 162  bnoagg -1.615872
## 163  bnoagg -1.659043
## 164  bnoagg -1.821504
## 165  bnoagg -1.515715
## 166  bnoagg -1.670441
## 167  bnoagg -2.311710
## 168  bnoagg -1.652815
## 169  bnoagg -2.210696
## 170  bnoagg -1.859169
## 171  bnoagg -2.019229
## 172  bnoagg -1.570428
## 173  bnoagg -2.067898
## 174  bnoagg -1.640678
## 175  bnoagg -1.786940
## 176  bnoagg -2.062861
## 177  bnoagg -1.848900
## 178  bnoagg -1.938566
## 179  bnoagg -1.708732
## 180  bnoagg -1.912081
## 181  bnoagg -1.829723
## 182  bnoagg -1.500318
## 183  bnoagg -1.931624
## 184  bnoagg -2.117346
## 185  bnoagg -1.931196
## 186  bnoagg -2.014465
## 187  bnoagg -1.872360
## 188  bnoagg -1.558590
## 189  bnoagg -1.777569
## 190  bnoagg -1.720439
## 191  bnoagg -2.129154
## 192  bnoagg -2.250552
## 193  bnoagg -2.010272
## 194  bnoagg -1.902901
## 195  bnoagg -1.591634
## 196  bnoagg -1.977989
## 197  bnoagg -1.362917
## 198  bnoagg -1.521644
## 199  bnoagg -1.621590
## 200  bnoagg -1.761660
## 201  bnoagg -1.541357
## 202  bnoagg -1.535484
## 203  bnoagg -2.049799
## 204  bnoagg -2.045491
## 205  bnoagg -1.419544
## 206  bnoagg -1.822767
## 207  bnoagg -1.831541
## 208  bnoagg -1.800949
## 209  bnoagg -1.494640
## 210  bnoagg -1.830811
## 211  bnoagg -1.674909
## 212  bnoagg -1.642804
## 213  bnoagg -2.205585
## 214  bnoagg -1.487405
## 215  bnoagg -1.646833
## 216  bnoagg -1.927550
## 217  bnoagg -1.575031
## 218  bnoagg -1.899269
## 219  bnoagg -1.418166
## 220  bnoagg -1.996752
## 221  bnoagg -1.579748
## 222  bnoagg -1.589105
## 223  bnoagg -1.585621
## 224  bnoagg -1.647984
## 225  bnoagg -2.125502
## 226  bnoagg -1.812802
## 227  bnoagg -1.632706
## 228  bnoagg -1.590699
## 229  bnoagg -1.958787
## 230  bnoagg -1.995099
## 231  bnoagg -1.888342
## 232  bnoagg -1.564161
## 233  bnoagg -2.066207
## 234  bnoagg -1.757779
## 235  bnoagg -1.832717
## 236  bnoagg -1.841227
## 237  bnoagg -1.515706
## 238  bnoagg -1.943102
## 239  bnoagg -2.179467
## 240  bnoagg -2.062873
## 241  bnoagg -1.665636
## 242  bnoagg -1.741053
## 243  bnoagg -1.831104
## 244  bnoagg -2.055503
## 245  bnoagg -1.492270
## 246  bnoagg -1.586928
## 247  bnoagg -1.814685
## 248  bnoagg -1.989061
## 249  bnoagg -1.579421
## 250  bnoagg -1.853655
## 251  bnoagg -1.538927
## 252  bnoagg -1.792155
## 253  bnoagg -1.826115
## 254  bnoagg -1.670271
## 255  bnoagg -1.659797
## 256  bnoagg -1.748016
## 257  bnoagg -1.986606
## 258  bnoagg -1.901968
## 259  bnoagg -1.711712
## 260  bnoagg -1.929300
## 261  bnoagg -1.707717
## 262  bnoagg -2.020781
## 263  bnoagg -1.952071
## 264  bnoagg -1.609072
## 265  bnoagg -1.716774
## 266  bnoagg -1.562000
## 267  bnoagg -2.127549
## 268  bnoagg -1.759311
## 269  bnoagg -1.801501
## 270  bnoagg -1.799298
## 271  bnoagg -1.500400
## 272  bnoagg -1.700833
## 273  bnoagg -1.971480
## 274  bnoagg -1.675281
## 275  bnoagg -1.951384
## 276  bnoagg -1.643530
## 277  bnoagg -1.863447
## 278  bnoagg -1.740561
## 279  bnoagg -2.050426
## 280  bnoagg -1.673333
## 281  bnoagg -1.938075
## 282  bnoagg -1.868280
## 283  bnoagg -1.774528
## 284  bnoagg -1.724514
## 285  bnoagg -1.555505
## 286  bnoagg -1.987560
## 287  bnoagg -1.909080
## 288  bnoagg -1.856489
## 289  bnoagg -1.507233
## 290  bnoagg -2.011361
## 291  bnoagg -2.095808
## 292  bnoagg -1.871397
## 293  bnoagg -1.895638
## 294  bnoagg -2.010509
## 295  bnoagg -2.011787
## 296  bnoagg -2.008535
## 297  bnoagg -1.795936
## 298  bnoagg -1.894520
## 299  bnoagg -2.199696
## 300  bnoagg -1.726566
## 301  bnoagg -2.020100
## 302  bnoagg -1.991442
## 303  bnoagg -1.764131
## 304  bnoagg -1.563934
## 305  bnoagg -1.826368
## 306  bnoagg -1.553034
## 307  bnoagg -2.123422
## 308  bnoagg -1.874628
## 309  bnoagg -1.984001
## 310  bnoagg -1.873084
## 311  bnoagg -2.421247
## 312  bnoagg -1.933556
## 313  bnoagg -1.567067
## 314  bnoagg -2.162661
## 315  bnoagg -1.295947
## 316  bnoagg -1.386540
## 317  bnoagg -1.887965
## 318  bnoagg -1.840709
## 319  bnoagg -1.891733
## 320  bnoagg -1.854156
## 321  bnoagg -1.731159
## 322  bnoagg -1.732354
## 323  bnoagg -1.762626
## 324  bnoagg -1.852412
## 325  bnoagg -2.134106
## 326  bnoagg -2.115603
## 327  bnoagg -1.622779
## 328  bnoagg -1.482126
## 329  bnoagg -1.537804
## 330  bnoagg -1.766497
## 331  bnoagg -1.628177
## 332  bnoagg -1.488018
## 333  bnoagg -1.301723
## 334  bnoagg -1.374807
## 335  bnoagg -2.138119
## 336  bnoagg -1.873872
## 337  bnoagg -2.271997
## 338  bnoagg -1.609199
## 339  bnoagg -2.187764
## 340  bnoagg -1.547696
## 341  bnoagg -1.539218
## 342  bnoagg -1.734176
## 343  bnoagg -1.906834
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## 1600 bnoagg -1.782439
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## 1604 bnoagg -1.893358
## 1605 bnoagg -1.942438
## 1606 bnoagg -1.585946
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## 1611 bnoagg -1.828411
## 1612 bnoagg -1.972576
## 1613 bnoagg -1.873502
## 1614 bnoagg -2.091237
## 1615 bnoagg -2.036533
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## 1617 bnoagg -1.584175
## 1618 bnoagg -1.743741
## 1619 bnoagg -1.549093
## 1620 bnoagg -1.536585
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## 1622 bnoagg -2.056036
## 1623 bnoagg -2.088054
## 1624 bnoagg -1.481678
## 1625 bnoagg -1.803786
## 1626 bnoagg -1.923558
## 1627 bnoagg -1.914496
## 1628 bnoagg -1.759415
## 1629 bnoagg -2.086342
## 1630 bnoagg -1.486040
## 1631 bnoagg -2.013553
## 1632 bnoagg -1.641263
## 1633 bnoagg -1.802796
## 1634 bnoagg -1.747855
## 1635 bnoagg -1.763035
## 1636 bnoagg -1.858315
## 1637 bnoagg -1.845959
## 1638 bnoagg -1.855270
## 1639 bnoagg -1.605248
## 1640 bnoagg -1.661818
## 1641 bnoagg -1.600783
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## 1643 bnoagg -1.843284
## 1644 bnoagg -1.627546
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## 1646 bnoagg -1.481924
## 1647 bnoagg -1.850157
## 1648 bnoagg -1.800624
## 1649 bnoagg -1.906230
## 1650 bnoagg -2.071248
## 1651 bnoagg -2.226183
## 1652 bnoagg -1.746001
## 1653 bnoagg -1.788362
## 1654 bnoagg -1.941624
## 1655 bnoagg -1.930683
## 1656 bnoagg -2.127912
## 1657 bnoagg -1.764009
## 1658 bnoagg -1.955454
## 1659 bnoagg -1.838625
## 1660 bnoagg -1.804871
## 1661 bnoagg -1.494950
## 1662 bnoagg -1.703288
## 1663 bnoagg -1.642679
## 1664 bnoagg -1.649973
## 1665 bnoagg -1.910350
## 1666 bnoagg -1.939011
## 1667 bnoagg -1.746024
## 1668 bnoagg -1.766012
## 1669 bnoagg -1.657789
## 1670 bnoagg -1.760703
## 1671 bnoagg -1.577510
## 1672 bnoagg -2.081816
## 1673 bnoagg -1.894012
## 1674 bnoagg -2.111591
## 1675 bnoagg -2.035188
## 1676 bnoagg -1.856249
## 1677 bnoagg -1.869945
## 1678 bnoagg -1.615892
## 1679 bnoagg -1.776642
## 1680 bnoagg -1.718788
## 1681 bnoagg -1.801017
## 1682 bnoagg -1.750493
## 1683 bnoagg -1.862844
## 1684 bnoagg -1.243335
## 1685 bnoagg -1.966294
## 1686 bnoagg -1.672446
## 1687 bnoagg -1.728377
## 1688 bnoagg -1.473597
## 1689 bnoagg -2.227506
## 1690 bnoagg -1.860333
## 1691 bnoagg -1.793558
## 1692 bnoagg -1.844924
## 1693 bnoagg -1.569938
## 1694 bnoagg -1.699523
## 1695 bnoagg -1.926561
## 1696 bnoagg -1.881377
## 1697 bnoagg -1.992735
## 1698 bnoagg -1.867389
## 1699 bnoagg -1.468980
## 1700 bnoagg -1.550892
## 1701 bnoagg -1.479609
## 1702 bnoagg -1.734396
## 1703 bnoagg -1.994939
## 1704 bnoagg -1.971912
## 1705 bnoagg -1.561670
## 1706 bnoagg -1.473833
## 1707 bnoagg -1.997332
## 1708 bnoagg -2.016427
## 1709 bnoagg -1.494967
## 1710 bnoagg -1.432333
## 1711 bnoagg -1.500239
## 1712 bnoagg -1.910306
## 1713 bnoagg -2.215340
## 1714 bnoagg -1.816793
## 1715 bnoagg -1.825672
## 1716 bnoagg -1.813938
## 1717 bnoagg -2.166459
## 1718 bnoagg -1.647864
## 1719 bnoagg -1.820927
## 1720 bnoagg -1.955512
## 1721 bnoagg -2.154446
## 1722 bnoagg -1.787772
## 1723 bnoagg -1.464285
## 1724 bnoagg -1.538403
## 1725 bnoagg -1.527385
## 1726 bnoagg -1.657363
## 1727 bnoagg -2.000232
## 1728 bnoagg -1.862663
## 1729 bnoagg -1.841955
## 1730 bnoagg -2.016409
## 1731 bnoagg -1.460984
## 1732 bnoagg -2.285601
## 1733 bnoagg -1.762985
## 1734 bnoagg -1.804685
## 1735 bnoagg -1.736414
## 1736 bnoagg -1.881613
## 1737 bnoagg -1.744542
## 1738 bnoagg -1.960021
## 1739 bnoagg -1.778872
## 1740 bnoagg -1.564774
## 1741 bnoagg -1.919558
## 1742 bnoagg -1.826706
## 1743 bnoagg -1.947821
## 1744 bnoagg -2.010026
## 1745 bnoagg -1.711938
## 1746 bnoagg -1.491123
## 1747 bnoagg -1.549997
## 1748 bnoagg -1.796057
## 1749 bnoagg -1.839545
## 1750 bnoagg -2.068803
## 1751 bnoagg -1.570519
## 1752 bnoagg -1.636595
## 1753 bnoagg -2.053317
## 1754 bnoagg -1.705059
## 1755 bnoagg -1.772626
## 1756 bnoagg -1.716001
## 1757 bnoagg -1.583065
## 1758 bnoagg -1.961379
## 1759 bnoagg -1.744312
## 1760 bnoagg -1.909997
## 1761 bnoagg -1.909145
## 1762 bnoagg -1.913904
## 1763 bnoagg -1.674811
## 1764 bnoagg -1.783809
## 1765 bnoagg -1.859110
## 1766 bnoagg -1.815476
## 1767 bnoagg -1.919634
## 1768 bnoagg -1.673548
## 1769 bnoagg -1.848309
## 1770 bnoagg -1.866673
## 1771 bnoagg -1.715246
## 1772 bnoagg -1.586425
## 1773 bnoagg -1.939320
## 1774 bnoagg -2.004262
## 1775 bnoagg -1.791919
## 1776 bnoagg -1.437821
## 1777 bnoagg -2.023660
## 1778 bnoagg -1.697839
## 1779 bnoagg -1.485677
## 1780 bnoagg -1.838339
## 1781 bnoagg -2.090040
## 1782 bnoagg -1.527765
## 1783 bnoagg -2.011555
## 1784 bnoagg -1.927382
## 1785 bnoagg -1.571913
## 1786 bnoagg -1.712184
## 1787 bnoagg -1.918356
## 1788 bnoagg -1.804503
## 1789 bnoagg -1.775103
## 1790 bnoagg -1.692566
## 1791 bnoagg -1.617209
## 1792 bnoagg -1.628202
## 1793 bnoagg -1.820162
## 1794 bnoagg -1.890415
## 1795 bnoagg -1.780154
## 1796 bnoagg -1.561657
## 1797 bnoagg -1.724652
## 1798 bnoagg -1.662841
## 1799 bnoagg -1.463226
## 1800 bnoagg -1.659785
## 1801 bnoagg -1.624440
## 1802 bnoagg -1.638088
## 1803 bnoagg -1.787251
## 1804 bnoagg -1.608915
## 1805 bnoagg -1.790751
## 1806 bnoagg -1.531924
## 1807 bnoagg -1.862072
## 1808 bnoagg -2.036181
## 1809 bnoagg -1.991360
## 1810 bnoagg -2.144635
## 1811 bnoagg -1.724350
## 1812 bnoagg -1.846774
## 1813 bnoagg -1.866008
## 1814 bnoagg -1.866603
## 1815 bnoagg -1.673627
## 1816 bnoagg -1.698387
## 1817 bnoagg -2.087115
## 1818 bnoagg -1.862765
## 1819 bnoagg -1.822168
## 1820 bnoagg -1.564911
## 1821 bnoagg -1.824172
## 1822 bnoagg -1.495198
## 1823 bnoagg -1.876040
## 1824 bnoagg -1.486204
## 1825 bnoagg -1.938496
## 1826 bnoagg -1.571768
## 1827 bnoagg -2.100032
## 1828 bnoagg -1.978940
## 1829 bnoagg -1.710881
## 1830 bnoagg -2.072328
## 1831 bnoagg -1.846218
## 1832 bnoagg -1.446508
## 1833 bnoagg -1.976585
## 1834 bnoagg -1.638625
## 1835 bnoagg -1.762352
## 1836 bnoagg -1.847438
## 1837 bnoagg -2.182061
## 1838 bnoagg -1.708125
## 1839 bnoagg -2.288643
## 1840 bnoagg -1.967155
## 1841 bnoagg -2.194344
## 1842 bnoagg -1.787880
## 1843 bnoagg -1.556136
## 1844 bnoagg -1.665272
## 1845 bnoagg -1.733156
## 1846 bnoagg -1.698921
## 1847 bnoagg -1.957571
## 1848 bnoagg -1.744861
## 1849 bnoagg -1.738973
## 1850 bnoagg -1.561091
## 1851 bnoagg -1.833485
## 1852 bnoagg -1.713580
## 1853 bnoagg -1.608783
## 1854 bnoagg -1.930219
## 1855 bnoagg -2.168396
## 1856 bnoagg -2.123635
## 1857 bnoagg -1.602963
## 1858 bnoagg -1.546192
## 1859 bnoagg -1.681702
## 1860 bnoagg -1.801262
## 1861 bnoagg -2.053445
## 1862 bnoagg -1.528437
## 1863 bnoagg -1.895238
## 1864 bnoagg -2.125166
## 1865 bnoagg -1.738703
## 1866 bnoagg -1.348177
## 1867 bnoagg -1.657788
## 1868 bnoagg -1.656590
## 1869 bnoagg -1.908896
## 1870 bnoagg -1.586210
## 1871 bnoagg -1.670658
## 1872 bnoagg -1.810799
## 1873 bnoagg -1.877166
## 1874 bnoagg -1.585700
## 1875 bnoagg -2.024928
## 1876 bnoagg -1.856847
## 1877 bnoagg -1.518457
## 1878 bnoagg -1.963515
## 1879 bnoagg -1.413734
## 1880 bnoagg -1.631157
## 1881 bnoagg -1.827922
## 1882 bnoagg -1.977145
## 1883 bnoagg -1.675362
## 1884 bnoagg -1.878568
## 1885 bnoagg -1.906822
## 1886 bnoagg -1.744372
## 1887 bnoagg -1.771991
## 1888 bnoagg -1.475090
## 1889 bnoagg -1.971102
## 1890 bnoagg -1.546788
## 1891 bnoagg -1.818283
## 1892 bnoagg -2.290133
## 1893 bnoagg -1.834892
## 1894 bnoagg -1.635229
## 1895 bnoagg -1.643625
## 1896 bnoagg -1.705157
## 1897 bnoagg -1.952790
## 1898 bnoagg -1.721898
## 1899 bnoagg -1.872636
## 1900 bnoagg -1.541488
## 1901 bnoagg -1.712216
## 1902 bnoagg -1.643542
## 1903 bnoagg -1.740206
## 1904 bnoagg -2.121438
## 1905 bnoagg -1.960565
## 1906 bnoagg -1.611076
## 1907 bnoagg -1.918560
## 1908 bnoagg -1.895902
## 1909 bnoagg -1.681084
## 1910 bnoagg -1.500746
## 1911 bnoagg -1.459037
## 1912 bnoagg -1.647673
## 1913 bnoagg -1.827321
## 1914 bnoagg -1.905553
## 1915 bnoagg -1.688039
## 1916 bnoagg -1.598920
## 1917 bnoagg -1.507263
## 1918 bnoagg -1.609033
## 1919 bnoagg -1.657547
## 1920 bnoagg -1.991745
## 1921 bnoagg -1.560447
## 1922 bnoagg -1.673869
## 1923 bnoagg -1.445350
## 1924 bnoagg -1.703260
## 1925 bnoagg -1.664466
## 1926 bnoagg -1.812734
## 1927 bnoagg -1.734347
## 1928 bnoagg -1.956609
## 1929 bnoagg -1.959422
## 1930 bnoagg -1.827121
## 1931 bnoagg -2.094887
## 1932 bnoagg -1.428524
## 1933 bnoagg -2.156099
## 1934 bnoagg -1.673201
## 1935 bnoagg -1.957832
## 1936 bnoagg -1.939723
## 1937 bnoagg -2.070436
## 1938 bnoagg -1.807538
## 1939 bnoagg -1.924701
## 1940 bnoagg -1.795196
## 1941 bnoagg -1.658767
## 1942 bnoagg -2.029938
## 1943 bnoagg -1.682544
## 1944 bnoagg -1.588189
## 1945 bnoagg -1.675696
## 1946 bnoagg -1.624849
## 1947 bnoagg -1.935329
## 1948 bnoagg -1.747865
## 1949 bnoagg -2.269624
## 1950 bnoagg -1.661896
## 1951 bnoagg -2.246501
## 1952 bnoagg -1.754743
## 1953 bnoagg -1.666772
## 1954 bnoagg -1.547801
## 1955 bnoagg -1.670262
## 1956 bnoagg -1.682365
## 1957 bnoagg -1.917194
## 1958 bnoagg -1.912088
## 1959 bnoagg -2.058149
## 1960 bnoagg -1.638305
## 1961 bnoagg -1.765152
## 1962 bnoagg -1.973683
## 1963 bnoagg -2.090418
## 1964 bnoagg -1.696059
## 1965 bnoagg -1.833520
## 1966 bnoagg -1.446369
## 1967 bnoagg -1.606598
## 1968 bnoagg -1.474971
## 1969 bnoagg -1.523194
## 1970 bnoagg -2.008544
## 1971 bnoagg -1.945920
## 1972 bnoagg -1.782692
## 1973 bnoagg -1.921908
## 1974 bnoagg -1.762605
## 1975 bnoagg -1.569233
## 1976 bnoagg -1.520050
## 1977 bnoagg -1.917450
## 1978 bnoagg -1.765434
## 1979 bnoagg -1.841287
## 1980 bnoagg -1.614858
## 1981 bnoagg -2.011937
## 1982 bnoagg -1.651215
## 1983 bnoagg -1.795709
## 1984 bnoagg -1.579298
## 1985 bnoagg -2.058460
## 1986 bnoagg -2.263685
## 1987 bnoagg -1.756585
## 1988 bnoagg -1.769347
## 1989 bnoagg -1.890915
## 1990 bnoagg -1.673640
## 1991 bnoagg -1.708875
## 1992 bnoagg -1.734087
## 1993 bnoagg -1.656245
## 1994 bnoagg -1.816864
## 1995 bnoagg -2.175300
## 1996 bnoagg -1.888947
## 1997 bnoagg -1.584641
## 1998 bnoagg -1.734252
## 1999 bnoagg -1.552259
## 2000 bnoagg -2.052941
## 2001 bnoagg -1.778653
## 2002 bnoagg -1.936264
## 2003 bnoagg -1.786059
## 2004 bnoagg -1.632061
## 2005 bnoagg -2.085868
## 2006 bnoagg -1.623970
## 2007 bnoagg -1.923896
## 2008 bnoagg -1.891165
## 2009 bnoagg -1.746595
## 2010 bnoagg -1.405530
## 2011 bnoagg -1.599469
## 2012 bnoagg -1.849342
## 2013 bnoagg -1.649295
## 2014 bnoagg -1.582979
## 2015 bnoagg -1.828141
## 2016 bnoagg -1.834810
## 2017 bnoagg -1.796012
## 2018 bnoagg -2.123683
## 2019 bnoagg -1.757669
## 2020 bnoagg -1.845224
## 2021 bnoagg -2.024213
## 2022 bnoagg -1.928787
## 2023 bnoagg -1.480845
## 2024 bnoagg -1.640640
## 2025 bnoagg -1.775364
## 2026 bnoagg -1.667779
## 2027 bnoagg -1.609280
## 2028 bnoagg -2.173704
## 2029 bnoagg -1.902871
## 2030 bnoagg -1.779128
## 2031 bnoagg -1.737740
## 2032 bnoagg -1.654672
## 2033 bnoagg -1.547668
## 2034 bnoagg -1.609875
## 2035 bnoagg -1.632481
## 2036 bnoagg -1.684748
## 2037 bnoagg -1.473786
## 2038 bnoagg -1.392997
## 2039 bnoagg -1.937865
## 2040 bnoagg -1.751278
## 2041 bnoagg -1.472548
## 2042 bnoagg -1.830214
## 2043 bnoagg -1.952736
## 2044 bnoagg -1.610712
## 2045 bnoagg -1.828950
## 2046 bnoagg -1.657846
## 2047 bnoagg -1.910642
## 2048 bnoagg -1.721012
## 2049 bnoagg -1.582947
## 2050 bnoagg -1.864193
## 2051 bnoagg -2.096239
## 2052 bnoagg -1.780971
## 2053 bnoagg -1.705997
## 2054 bnoagg -1.855827
## 2055 bnoagg -1.542793
## 2056 bnoagg -1.731239
## 2057 bnoagg -1.758759
## 2058 bnoagg -1.469155
## 2059 bnoagg -1.774457
## 2060 bnoagg -1.618186
## 2061 bnoagg -1.656000
## 2062 bnoagg -1.981578
## 2063 bnoagg -1.621560
## 2064 bnoagg -1.815045
## 2065 bnoagg -1.963225
## 2066 bnoagg -1.806629
## 2067 bnoagg -1.783837
## 2068 bnoagg -1.963970
## 2069 bnoagg -1.827079
## 2070 bnoagg -1.509700
## 2071 bnoagg -2.048614
## 2072 bnoagg -1.694130
## 2073 bnoagg -1.510069
## 2074 bnoagg -1.837901
## 2075 bnoagg -1.609692
## 2076 bnoagg -1.609950
## 2077 bnoagg -1.907853
## 2078 bnoagg -1.842230
## 2079 bnoagg -1.893028
## 2080 bnoagg -2.074209
## 2081 bnoagg -1.825269
## 2082 bnoagg -1.372061
## 2083 bnoagg -1.675787
## 2084 bnoagg -1.652660
## 2085 bnoagg -1.697589
## 2086 bnoagg -1.725719
## 2087 bnoagg -1.630465
## 2088 bnoagg -1.792854
## 2089 bnoagg -1.948374
## 2090 bnoagg -1.777508
## 2091 bnoagg -1.822035
## 2092 bnoagg -1.764692
## 2093 bnoagg -2.079670
## 2094 bnoagg -1.796798
## 2095 bnoagg -2.321424
## 2096 bnoagg -1.937054
## 2097 bnoagg -1.866992
## 2098 bnoagg -2.096023
## 2099 bnoagg -1.905083
## 2100 bnoagg -1.522826
## 2101 bnoagg -2.078395
## 2102 bnoagg -1.583660
## 2103 bnoagg -1.703642
## 2104 bnoagg -1.484234
## 2105 bnoagg -1.468975
## 2106 bnoagg -1.726851
## 2107 bnoagg -1.806001
## 2108 bnoagg -1.921144
## 2109 bnoagg -2.111251
## 2110 bnoagg -1.744883
## 2111 bnoagg -1.285517
## 2112 bnoagg -1.599198
## 2113 bnoagg -1.527938
## 2114 bnoagg -1.807724
## 2115 bnoagg -1.895098
## 2116 bnoagg -1.689845
## 2117 bnoagg -1.702870
## 2118 bnoagg -1.866040
## 2119 bnoagg -2.111743
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## 7500  bmean -1.879169
## 7501  bmean -1.456686
## 7502  bmean -1.729634
## 7503  bmean -1.653458
## 7504  bmean -1.274127
## 7505  bmean -1.463669
## 7506  bmean -1.819510
## 7507  bmean -1.308547
## 7508  bmean -1.502377
## 7509  bmean -1.775846
## 7510  bmean -1.945499
## 7511  bmean -1.764320
## 7512  bmean -1.738413
## 7513  bmean -1.750335
## 7514  bmean -1.594973
## 7515  bmean -1.576346
## 7516  bmean -1.877590
## 7517  bmean -2.075121
## 7518  bmean -1.818234
## 7519  bmean -1.911210
## 7520  bmean -1.519704
## 7521  bmean -2.191015
## 7522  bmean -1.274702
## 7523  bmean -1.654172
## 7524  bmean -1.683591
## 7525  bmean -1.608022
## 7526  bmean -1.748376
## 7527  bmean -1.569947
## 7528  bmean -2.075709
## 7529  bmean -1.824533
## 7530  bmean -1.947182
## 7531  bmean -1.565483
## 7532  bmean -2.101264
## 7533  bmean -1.769658
## 7534  bmean -1.677617
## 7535  bmean -2.006320
## 7536  bmean -1.985686
## 7537  bmean -1.646331
## 7538  bmean -1.855071
## 7539  bmean -2.234985
## 7540  bmean -1.574687
## 7541  bmean -1.711574
## 7542  bmean -1.358820
## 7543  bmean -2.022074
## 7544  bmean -1.467209
## 7545  bmean -1.859570
## 7546  bmean -1.520772
## 7547  bmean -1.747778
## 7548  bmean -1.555785
## 7549  bmean -1.772256
## 7550  bmean -1.439908
## 7551  bmean -1.992959
## 7552  bmean -1.643545
## 7553  bmean -1.892735
## 7554  bmean -1.738904
## 7555  bmean -1.516981
## 7556  bmean -1.608476
## 7557  bmean -1.245247
## 7558  bmean -1.717616
## 7559  bmean -1.740440
## 7560  bmean -1.593546
## 7561  bmean -1.673991
## 7562  bmean -1.579220
## 7563  bmean -1.966734
## 7564  bmean -1.559592
## 7565  bmean -1.727015
## 7566  bmean -1.613616
## 7567  bmean -1.688695
## 7568  bmean -1.747309
## 7569  bmean -1.795745
## 7570  bmean -2.132038
## 7571  bmean -1.806816
## 7572  bmean -1.791807
## 7573  bmean -1.393503
## 7574  bmean -1.665493
## 7575  bmean -1.897886
## 7576  bmean -1.962673
## 7577  bmean -1.833839
## 7578  bmean -1.564966
## 7579  bmean -1.640326
## 7580  bmean -1.859082
## 7581  bmean -1.376859
## 7582  bmean -2.150173
## 7583  bmean -1.918007
## 7584  bmean -1.621195
## 7585  bmean -1.852185
## 7586  bmean -1.635977
## 7587  bmean -1.512476
## 7588  bmean -1.782223
## 7589  bmean -1.712336
## 7590  bmean -1.774791
## 7591  bmean -1.611705
## 7592  bmean -1.670044
## 7593  bmean -1.626219
## 7594  bmean -1.866939
## 7595  bmean -1.740875
## 7596  bmean -2.212287
## 7597  bmean -1.687587
## 7598  bmean -1.639728
## 7599  bmean -1.561755
## 7600  bmean -1.668254
## 7601  bmean -1.716112
## 7602  bmean -1.662061
## 7603  bmean -1.602593
## 7604  bmean -1.642165
## 7605  bmean -1.602313
## 7606  bmean -1.611199
## 7607  bmean -1.929240
## 7608  bmean -1.399925
## 7609  bmean -2.128554
## 7610  bmean -2.239548
## 7611  bmean -1.675657
## 7612  bmean -1.901926
## 7613  bmean -1.712214
## 7614  bmean -1.870082
## 7615  bmean -1.782747
## 7616  bmean -1.891885
## 7617  bmean -1.724831
## 7618  bmean -1.689866
## 7619  bmean -1.708696
## 7620  bmean -1.568023
## 7621  bmean -1.554924
## 7622  bmean -1.750233
## 7623  bmean -1.449358
## 7624  bmean -1.925716
## 7625  bmean -1.598357
## 7626  bmean -1.630201
## 7627  bmean -1.765022
## 7628  bmean -1.478885
## 7629  bmean -1.811751
## 7630  bmean -1.628629
## 7631  bmean -1.408212
## 7632  bmean -1.395966
## 7633  bmean -1.564838
## 7634  bmean -2.164601
## 7635  bmean -1.850355
## 7636  bmean -1.719057
## 7637  bmean -1.869349
## 7638  bmean -1.797334
## 7639  bmean -1.881272
## 7640  bmean -2.014345
## 7641  bmean -1.858571
## 7642  bmean -1.919848
## 7643  bmean -1.776938
## 7644  bmean -2.127718
## 7645  bmean -1.441014
## 7646  bmean -1.657772
## 7647  bmean -1.702227
## 7648  bmean -1.745926
## 7649  bmean -1.863395
## 7650  bmean -1.699280
## 7651  bmean -2.099337
## 7652  bmean -1.532164
## 7653  bmean -1.757269
## 7654  bmean -1.841039
## 7655  bmean -1.477022
## 7656  bmean -1.389357
## 7657  bmean -1.543737
## 7658  bmean -1.619174
## 7659  bmean -1.701398
## 7660  bmean -1.750763
## 7661  bmean -2.040555
## 7662  bmean -1.693077
## 7663  bmean -1.273388
## 7664  bmean -1.356589
## 7665  bmean -1.535709
## 7666  bmean -1.517603
## 7667  bmean -1.852368
## 7668  bmean -1.533225
## 7669  bmean -1.780161
## 7670  bmean -2.028554
## 7671  bmean -1.931251
## 7672  bmean -1.623167
## 7673  bmean -1.677254
## 7674  bmean -1.723508
## 7675  bmean -2.083288
## 7676  bmean -1.936459
## 7677  bmean -1.548506
## 7678  bmean -1.621582
## 7679  bmean -2.147512
## 7680  bmean -1.191231
## 7681  bmean -1.657420
## 7682  bmean -1.654015
## 7683  bmean -1.369694
## 7684  bmean -1.557969
## 7685  bmean -1.853557
## 7686  bmean -1.886739
## 7687  bmean -1.701596
## 7688  bmean -1.641285
## 7689  bmean -1.866154
## 7690  bmean -1.485459
## 7691  bmean -2.150912
## 7692  bmean -1.855245
## 7693  bmean -1.851212
## 7694  bmean -1.406473
## 7695  bmean -1.802803
## 7696  bmean -1.723682
## 7697  bmean -1.705080
## 7698  bmean -1.938396
## 7699  bmean -1.837288
## 7700  bmean -1.846071
## 7701  bmean -1.953336
## 7702  bmean -1.756580
## 7703  bmean -1.987170
## 7704  bmean -1.556588
## 7705  bmean -2.074092
## 7706  bmean -1.810635
## 7707  bmean -1.616243
## 7708  bmean -1.834024
## 7709  bmean -1.959369
## 7710  bmean -1.430404
## 7711  bmean -1.894772
## 7712  bmean -1.878563
## 7713  bmean -1.729373
## 7714  bmean -1.976299
## 7715  bmean -1.742551
## 7716  bmean -1.677608
## 7717  bmean -1.611051
## 7718  bmean -1.514575
## 7719  bmean -1.660956
## 7720  bmean -2.099334
## 7721  bmean -1.956779
## 7722  bmean -1.691686
## 7723  bmean -1.605847
## 7724  bmean -1.796812
## 7725  bmean -1.565380
## 7726  bmean -1.686376
## 7727  bmean -1.555936
## 7728  bmean -1.974976
## 7729  bmean -1.687028
## 7730  bmean -1.934019
## 7731  bmean -1.852654
## 7732  bmean -1.796515
## 7733  bmean -1.825326
## 7734  bmean -1.672198
## 7735  bmean -1.734144
## 7736  bmean -2.001730
## 7737  bmean -1.908796
## 7738  bmean -2.111333
## 7739  bmean -1.477617
## 7740  bmean -2.110536
## 7741  bmean -1.919741
## 7742  bmean -1.709056
## 7743  bmean -2.080296
## 7744  bmean -1.721814
## 7745  bmean -1.829514
## 7746  bmean -1.876093
## 7747  bmean -2.069558
## 7748  bmean -1.772580
## 7749  bmean -1.696434
## 7750  bmean -1.980045
## 7751  bmean -1.832592
## 7752  bmean -2.130896
## 7753  bmean -1.909475
## 7754  bmean -1.603867
## 7755  bmean -1.757240
## 7756  bmean -1.811021
## 7757  bmean -1.638038
## 7758  bmean -1.792704
## 7759  bmean -1.871215
## 7760  bmean -2.094796
## 7761  bmean -1.732863
## 7762  bmean -1.958507
## 7763  bmean -2.006026
## 7764  bmean -1.973242
## 7765  bmean -1.607682
## 7766  bmean -1.843894
## 7767  bmean -1.853568
## 7768  bmean -1.558380
## 7769  bmean -1.671693
## 7770  bmean -1.938342
## 7771  bmean -1.506458
## 7772  bmean -1.569050
## 7773  bmean -1.873565
## 7774  bmean -1.687859
## 7775  bmean -1.390226
## 7776  bmean -1.482548
## 7777  bmean -1.538778
## 7778  bmean -1.388831
## 7779  bmean -1.315134
## 7780  bmean -1.895978
## 7781  bmean -1.731665
## 7782  bmean -1.714990
## 7783  bmean -1.827452
## 7784  bmean -1.520231
## 7785  bmean -1.705102
## 7786  bmean -1.764796
## 7787  bmean -1.953939
## 7788  bmean -1.417357
## 7789  bmean -1.907811
## 7790  bmean -2.094689
## 7791  bmean -1.990708
## 7792  bmean -1.924352
## 7793  bmean -1.877705
## 7794  bmean -1.487514
## 7795  bmean -1.607099
## 7796  bmean -1.271416
## 7797  bmean -2.032877
## 7798  bmean -1.514459
## 7799  bmean -2.088090
## 7800  bmean -1.659341
## 7801  bmean -1.754996
## 7802  bmean -1.661989
## 7803  bmean -1.725554
## 7804  bmean -1.704075
## 7805  bmean -1.632103
## 7806  bmean -1.589265
## 7807  bmean -1.938417
## 7808  bmean -1.985241
## 7809  bmean -1.433244
## 7810  bmean -1.877506
## 7811  bmean -1.878538
## 7812  bmean -2.017298
## 7813  bmean -2.027585
## 7814  bmean -1.543760
## 7815  bmean -1.695349
## 7816  bmean -1.904700
## 7817  bmean -2.021815
## 7818  bmean -2.133900
## 7819  bmean -1.461299
## 7820  bmean -1.732945
## 7821  bmean -1.529810
## 7822  bmean -1.625110
## 7823  bmean -1.346443
## 7824  bmean -1.560172
## 7825  bmean -1.830060
## 7826  bmean -1.898917
## 7827  bmean -1.777169
## 7828  bmean -1.428636
## 7829  bmean -1.946546
## 7830  bmean -1.828763
## 7831  bmean -1.658539
## 7832  bmean -2.016405
## 7833  bmean -1.721004
## 7834  bmean -1.526400
## 7835  bmean -1.327396
## 7836  bmean -2.048529
## 7837  bmean -1.943432
## 7838  bmean -1.499478
## 7839  bmean -1.567646
## 7840  bmean -1.690856
## 7841  bmean -1.801622
## 7842  bmean -1.845715
## 7843  bmean -1.833003
## 7844  bmean -1.461661
## 7845  bmean -1.714684
## 7846  bmean -1.257034
## 7847  bmean -1.555480
## 7848  bmean -1.736043
## 7849  bmean -1.478529
## 7850  bmean -1.813163
## 7851  bmean -1.530347
## 7852  bmean -1.787700
## 7853  bmean -1.389404
## 7854  bmean -1.863699
## 7855  bmean -1.563176
## 7856  bmean -1.809435
## 7857  bmean -1.691365
## 7858  bmean -1.486971
## 7859  bmean -1.599049
## 7860  bmean -1.458277
## 7861  bmean -1.572630
## 7862  bmean -1.893787
## 7863  bmean -2.041434
## 7864  bmean -2.003133
## 7865  bmean -2.057212
## 7866  bmean -1.832986
## 7867  bmean -1.476593
## 7868  bmean -1.586438
## 7869  bmean -1.474077
## 7870  bmean -2.014783
## 7871  bmean -2.126925
## 7872  bmean -2.102359
## 7873  bmean -1.428214
## 7874  bmean -2.001804
## 7875  bmean -1.904915
## 7876  bmean -1.684602
## 7877  bmean -1.373448
## 7878  bmean -2.095169
## 7879  bmean -1.863316
## 7880  bmean -1.837000
## 7881  bmean -1.626031
## 7882  bmean -1.707735
## 7883  bmean -1.658742
## 7884  bmean -1.717189
## 7885  bmean -1.596868
## 7886  bmean -1.641433
## 7887  bmean -1.658277
## 7888  bmean -1.882515
## 7889  bmean -1.799070
## 7890  bmean -1.874831
## 7891  bmean -1.352198
## 7892  bmean -1.934700
## 7893  bmean -1.695137
## 7894  bmean -1.569171
## 7895  bmean -1.825790
## 7896  bmean -1.778516
## 7897  bmean -1.425039
## 7898  bmean -2.087119
## 7899  bmean -2.017680
## 7900  bmean -1.393256
## 7901  bmean -1.192189
## 7902  bmean -1.758951
## 7903  bmean -1.834055
## 7904  bmean -1.486499
## 7905  bmean -1.711836
## 7906  bmean -1.932695
## 7907  bmean -1.332715
## 7908  bmean -1.984868
## 7909  bmean -1.807715
## 7910  bmean -1.974706
## 7911  bmean -1.736588
## 7912  bmean -1.740713
## 7913  bmean -1.634136
## 7914  bmean -1.642645
## 7915  bmean -1.599416
## 7916  bmean -1.750814
## 7917  bmean -1.698217
## 7918  bmean -1.879835
## 7919  bmean -2.015878
## 7920  bmean -1.764592
## 7921  bmean -1.863704
## 7922  bmean -1.906072
## 7923  bmean -1.776161
## 7924  bmean -1.460188
## 7925  bmean -1.794805
## 7926  bmean -1.826136
## 7927  bmean -1.789152
## 7928  bmean -1.681910
## 7929  bmean -1.859935
## 7930  bmean -1.636856
## 7931  bmean -1.581581
## 7932  bmean -1.801388
## 7933  bmean -1.659407
## 7934  bmean -1.732322
## 7935  bmean -1.319659
## 7936  bmean -1.656434
## 7937  bmean -2.031400
## 7938  bmean -1.627765
## 7939  bmean -1.801073
## 7940  bmean -1.971676
## 7941  bmean -1.870116
## 7942  bmean -1.998858
## 7943  bmean -1.594243
## 7944  bmean -1.736496
## 7945  bmean -1.782168
## 7946  bmean -1.395367
## 7947  bmean -1.498440
## 7948  bmean -1.905084
## 7949  bmean -1.675262
## 7950  bmean -1.682765
## 7951  bmean -1.847993
## 7952  bmean -1.695670
## 7953  bmean -1.406175
## 7954  bmean -1.605887
## 7955  bmean -1.983104
## 7956  bmean -1.525301
## 7957  bmean -1.566641
## 7958  bmean -1.503233
## 7959  bmean -1.993014
## 7960  bmean -2.060092
## 7961  bmean -1.636269
## 7962  bmean -1.555339
## 7963  bmean -1.828564
## 7964  bmean -1.535958
## 7965  bmean -1.554114
## 7966  bmean -1.965147
## 7967  bmean -1.731067
## 7968  bmean -1.643078
## 7969  bmean -1.684216
## 7970  bmean -1.696583
## 7971  bmean -1.598884
## 7972  bmean -1.467940
## 7973  bmean -1.907736
## 7974  bmean -2.017084
## 7975  bmean -1.962797
## 7976  bmean -2.022253
## 7977  bmean -1.545556
## 7978  bmean -1.912515
## 7979  bmean -1.604388
## 7980  bmean -1.780762
## 7981  bmean -1.785028
## 7982  bmean -1.734215
## 7983  bmean -2.108376
## 7984  bmean -1.567913
## 7985  bmean -1.503596
## 7986  bmean -2.004804
## 7987  bmean -1.645262
## 7988  bmean -1.516513
## 7989  bmean -1.814108
## 7990  bmean -1.786621
## 7991  bmean -1.937065
## 7992  bmean -1.533152
## 7993  bmean -1.832226
## 7994  bmean -1.762324
## 7995  bmean -1.840021
## 7996  bmean -1.686675
## 7997  bmean -2.124379
## 7998  bmean -1.723923
## 7999  bmean -1.632255
## 8000  bmean -1.539248

Dichotomous Accuracy Rates

##      aggStrat   N   meanAcc        sd         se
## 1      disagg 234 0.3715507 0.3415581 0.02232835
## 2 disagg+mean 234 0.4620956 0.3671058 0.02399846
## 3        mean 339 0.4948591 0.3458809 0.01878567