Bayesian Inference with MCMCpack

Elea McDonnell Feit & Jeff Dotson

Examples for the AMA Advanced Research Techniques Forum tutorial on Hierarchical Bayes Methods in Marketing

Overview

This presentation is a (very brief!) how-to guide to estimating Bayesian models in R using the MCMCpack package.

MCMCpack package

The R package MCMCpack includes a number of “canned” routines for Bayesian inference with many models that are useful in marketing including:

Model Function
Linear (regression) MCMCregress()
Poisson MCMCpoisson()
Logit (binary) MCMClogit()
Probit (binary) MCMCprobit()
Multinomial logit MCMCmnl()
Hierarchical linear MCMChregress()
Hierarchical logit MCMChlogit()

Linear regression

Start with some data

Let's start with some sales data.

summary(mydata)
     price          feature         sales       
 Min.   :31.50   Min.   :0.00   Min.   : 893.9  
 1st Qu.:45.86   1st Qu.:0.00   1st Qu.:1031.8  
 Median :49.07   Median :0.00   Median :1116.7  
 Mean   :49.24   Mean   :0.09   Mean   :1113.8  
 3rd Qu.:52.44   3rd Qu.:0.00   3rd Qu.:1175.2  
 Max.   :63.91   Max.   :1.00   Max.   :1397.5  

Estimating a (frequentist) linear model

In R, you run the routine, assign the result to an object and then summarize that object.

m1.freq <- lm(sales ~ price + feature, data=mydata)
summary(m1.freq)

Call:
lm(formula = sales ~ price + feature, data = mydata)

Residuals:
     Min       1Q   Median       3Q      Max 
-216.721  -73.184    3.436   67.965  281.135 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept)  815.138     96.028   8.489 2.43e-13 ***
price          6.019      1.933   3.114  0.00243 ** 
feature       24.826     35.115   0.707  0.48127    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

Residual standard error: 100.1 on 97 degrees of freedom
Multiple R-squared:  0.09255,   Adjusted R-squared:  0.07383 
F-statistic: 4.946 on 2 and 97 DF,  p-value: 0.009006

Estimating a (Bayesian) linear model

Estimating a linear model with MCMCpack is very similar to using frequentist routines in base R. It even takes about the same amount of time to run.

library(MCMCpack)
m1 <- MCMCregress(sales ~ price + feature , data=mydata)

Estimating a (Bayesian) linear model (continued)

summary(m1)

Iterations = 1001:11000
Thinning interval = 1 
Number of chains = 1 
Sample size per chain = 10000 

1. Empirical mean and standard deviation for each variable,
   plus standard error of the mean:

                 Mean       SD Naive SE Time-series SE
(Intercept)   814.478   96.713  0.96713        0.97141
price           6.026    1.946  0.01946        0.01953
feature        25.300   35.662  0.35662        0.36313
sigma2      10224.337 1504.303 15.04303       15.41515

2. Quantiles for each variable:

                2.5%      25%       50%       75%     97.5%
(Intercept)  629.011  749.228   814.563   879.191  1004.163
price          2.232    4.731     6.032     7.346     9.771
feature      -45.705    1.426    25.693    49.264    95.095
sigma2      7705.654 9150.327 10074.298 11114.467 13581.105

The MCMCregress() summary output looks very similar to the lm() summary and the estimated coefficients are almost exactly the same, but there are some conceptual differences in the interpretation.

  • The Bayesian output speaks directly to what the posteriors of the parameters are and does not refer to hypothesis tests. (No t-values or p-values or significance!).
  • The Bayesian output shows quantiles of the exact posterior for each parameter (which may be asymmetric).
  • The output reports the value of the sigma2 parameter.

Posterior draws

An MCMC routine actually produces a set of draws that repsent a random sample from the posterior distribution of the parameters. The m1 object actually contains all of the posterior draws organized in a matrix. For example, the first 10 draws are:

m1[1:10,]
      (Intercept)    price   feature    sigma2
 [1,]    790.3396 6.472956  56.24795 12636.702
 [2,]    704.4059 8.480423  45.18814 12980.087
 [3,]    626.0108 9.651446  37.89197 11477.014
 [4,]    716.3899 8.153696  40.12728  9647.651
 [5,]    676.4529 9.057052  58.50337 16647.942
 [6,]    892.9677 4.730496 -70.01775  8638.773
 [7,]    797.8520 6.356140  29.87541 10463.456
 [8,]    821.5374 5.742792  49.96769 10682.370
 [9,]    884.8525 5.320070  15.83753  9827.351
[10,]    877.3734 4.649238 -31.14484  9742.908

Analyzing posterior draws

The summary() function analyzes these draws to produce the posterior summaries, but you can do that “by hand” as well.

apply(m1, 2, quantile, probs=c(0.025, 0.5, 0.975))
      (Intercept)    price   feature    sigma2
2.5%     629.0106 2.231766 -45.70470  7705.654
50%      814.5634 6.031944  25.69273 10074.298
97.5%   1004.1633 9.771084  95.09507 13581.105

coda package

There is a separate R package called coda that includes a number of functions for analyzing posterior draws. When you load the MCMCpack package, it automatically loads the coda package, too. The next few functions are from coda.

Traceplots

traceplot(m1[,"price"], main="Price Coefficient")

plot of chunk unnamed-chunk-8

traceplot(m1[,"feature"], main="Feature Coefficient")

plot of chunk unnamed-chunk-9

Posterior density

densplot(m1[,"price"], main="Price Coefficient")

plot of chunk unnamed-chunk-10

densplot(m1[,"sigma2"], main="Error Variance")

plot of chunk unnamed-chunk-11

What about the priors?

When we ran the model, we used a set of default conjugate priors for this model. The default priors are:

  • b0 = 0 prior mean of coefficients
  • B0 = 0 prior precision (1/variance) of coefficients
  • c0 = 0.001 shape parameter for inverse Gamma prior on sigma2
  • d0 = 0.001 scale parameter for inverse Gamma prior on sigma2

You can change the values for these priors by adding them when you call MCMCregress().

m2 <- MCMCregress(sales ~ price + feature , data=mydata, 
                  b0=100, B0=100)

You can read more about the priors by reading the help. Type ?MCMCregress().

Effect of using an informative prior

summary(m2)

Iterations = 1001:11000
Thinning interval = 1 
Number of chains = 1 
Sample size per chain = 10000 

1. Empirical mean and standard deviation for each variable,
   plus standard error of the mean:

                 Mean        SD  Naive SE Time-series SE
(Intercept) 1.000e+02 9.982e-02 9.982e-04      1.001e-03
price       9.998e+01 1.001e-01 1.001e-03      1.001e-03
feature     1.000e+02 1.004e-01 1.004e-03      1.004e-03
sigma2      1.590e+07 2.303e+06 2.303e+04      2.303e+04

2. Quantiles for each variable:

                 2.5%       25%       50%       75%     97.5%
(Intercept) 9.981e+01 9.993e+01 1.000e+02 1.001e+02 1.002e+02
price       9.979e+01 9.992e+01 9.999e+01 1.001e+02 1.002e+02
feature     9.980e+01 9.993e+01 1.000e+02 1.001e+02 1.002e+02
sigma2      1.206e+07 1.426e+07 1.569e+07 1.727e+07 2.101e+07

Exercising more control over MCMC routines in MCMCpack

There are also a number of inputs to the routine that control the MCMC routine:

  • Starting values: beta.start = NA (default uses OLS estimates)
  • Which draws to store: burnin = 1000, mcmc = 10000, thin = 1

You can use these inputs to exercise more control over the MCMC routine, but the defaults usually work well for most data sets.

Hierarchical linear regression

Data

Data and code taken from Chapman and Feit (Chapter 9)

conjoint.df <- read.csv("http://goo.gl/G8knGV")
conjoint.df$speed  <- factor(conjoint.df$speed)
conjoint.df$height <- factor(conjoint.df$height)
summary(conjoint.df)
    resp.id           rating       speed     height       const     
 Min.   :  1.00   Min.   : 1.000   40: 800   200:1400   Steel:1400  
 1st Qu.: 50.75   1st Qu.: 3.000   50:1200   300:1200   Wood :1800  
 Median :100.50   Median : 5.000   60: 800   400: 600               
 Mean   :100.50   Mean   : 5.268   70: 400                          
 3rd Qu.:150.25   3rd Qu.: 7.000                                    
 Max.   :200.00   Max.   :10.000                                    
    theme     
 Dragon:1600  
 Eagle :1600  




Estimating a model with MCMChregress()

m3 <- MCMChregress(fixed = rating ~ speed + height + const + theme, 
                   random = ~ speed + height + const + theme, 
                   group = "resp.id", data=conjoint.df, 
                   r=8, R=diag(8))

Running the Gibbs sampler. It may be long, keep cool :)

**********:10.0%
**********:20.0%
**********:30.0%
**********:40.0%
**********:50.0%
**********:60.0%
**********:70.0%
**********:80.0%
**********:90.0%
**********:100.0%

Hierarchical model parameter posteriors

summary(m3$mcmc)

Iterations = 1001:10991
Thinning interval = 10 
Number of chains = 1 
Sample size per chain = 1000 

1. Empirical mean and standard deviation for each variable,
   plus standard error of the mean:

                                  Mean       SD Naive SE Time-series SE
beta.(Intercept)             3.074e+00  0.16936 0.005356       0.005457
beta.speed50                 8.168e-01  0.13984 0.004422       0.004422
beta.speed60                 1.569e+00  0.16182 0.005117       0.005569
beta.speed70                 4.485e+00  0.18622 0.005889       0.005889
beta.height300               2.947e+00  0.12345 0.003904       0.003681
beta.height400               1.458e+00  0.17963 0.005680       0.005680
beta.constWood              -1.128e-01  0.19516 0.006172       0.005615
beta.themeEagle             -7.542e-01  0.18566 0.005871       0.005871
b.(Intercept).1             -1.172e+00  0.66373 0.020989       0.020989
b.(Intercept).10            -8.586e-01  0.67083 0.021214       0.021214
b.(Intercept).100            6.854e-01  0.64731 0.020470       0.020470
b.(Intercept).101           -1.139e+00  0.66738 0.021104       0.022642
b.(Intercept).102            8.462e-01  0.67027 0.021196       0.021196
b.(Intercept).103            2.603e-01  0.65948 0.020855       0.020855
b.(Intercept).104            1.491e+00  0.67666 0.021398       0.021398
b.(Intercept).105            1.268e+00  0.68333 0.021609       0.021609
b.(Intercept).106           -1.189e+00  0.67730 0.021418       0.021418
b.(Intercept).107           -2.316e+00  0.65688 0.020772       0.020772
b.(Intercept).108           -1.798e+00  0.68342 0.021612       0.021612
b.(Intercept).109            2.104e+00  0.67276 0.021275       0.021275
b.(Intercept).11             4.595e-01  0.64934 0.020534       0.020534
b.(Intercept).110           -1.450e+00  0.65419 0.020687       0.020687
b.(Intercept).111            2.131e-01  0.62628 0.019805       0.020326
b.(Intercept).112           -4.134e-01  0.65749 0.020792       0.020792
b.(Intercept).113            1.238e+00  0.66475 0.021021       0.022152
b.(Intercept).114           -2.271e-01  0.65510 0.020716       0.020716
b.(Intercept).115           -1.072e+00  0.68210 0.021570       0.021570
b.(Intercept).116            1.088e-01  0.66806 0.021126       0.023353
b.(Intercept).117            4.585e-01  0.64603 0.020429       0.020429
b.(Intercept).118            1.584e+00  0.67111 0.021222       0.018957
b.(Intercept).119            6.425e-01  0.65909 0.020842       0.020842
b.(Intercept).12            -1.214e+00  0.66893 0.021154       0.019659
b.(Intercept).120           -2.057e-02  0.66503 0.021030       0.021030
b.(Intercept).121            8.584e-01  0.65681 0.020770       0.020770
b.(Intercept).122            1.235e-01  0.64896 0.020522       0.019616
b.(Intercept).123           -7.865e-01  0.67013 0.021192       0.021192
b.(Intercept).124            2.266e-01  0.66966 0.021177       0.024934
b.(Intercept).125           -9.906e-01  0.67325 0.021290       0.021290
b.(Intercept).126           -1.133e+00  0.67134 0.021230       0.020142
b.(Intercept).127            1.354e+00  0.67846 0.021455       0.018463
b.(Intercept).128           -5.663e-01  0.63826 0.020184       0.020184
b.(Intercept).129            1.484e+00  0.66660 0.021080       0.021273
b.(Intercept).13             1.918e-01  0.66219 0.020940       0.019915
b.(Intercept).130            1.139e+00  0.63763 0.020163       0.020163
b.(Intercept).131           -3.785e-01  0.66035 0.020882       0.021712
b.(Intercept).132            1.801e+00  0.66336 0.020977       0.021980
b.(Intercept).133           -1.743e+00  0.66994 0.021185       0.021185
b.(Intercept).134            1.288e+00  0.64921 0.020530       0.021574
b.(Intercept).135            1.416e+00  0.66334 0.020977       0.021962
b.(Intercept).136            1.146e+00  0.64812 0.020495       0.022358
b.(Intercept).137           -1.914e+00  0.66592 0.021058       0.021058
b.(Intercept).138           -3.577e-01  0.64792 0.020489       0.020489
b.(Intercept).139            8.079e-01  0.67264 0.021271       0.021271
b.(Intercept).14             3.225e+00  0.70101 0.022168       0.022168
b.(Intercept).140           -1.685e+00  0.65448 0.020696       0.020696
b.(Intercept).141            5.400e-01  0.63921 0.020213       0.021027
b.(Intercept).142           -1.291e+00  0.63405 0.020051       0.020051
b.(Intercept).143            1.469e-01  0.69310 0.021918       0.017530
b.(Intercept).144            2.735e+00  0.69904 0.022106       0.022106
b.(Intercept).145           -1.313e+00  0.68126 0.021543       0.021543
b.(Intercept).146           -2.774e-01  0.64982 0.020549       0.020549
b.(Intercept).147           -1.912e+00  0.67070 0.021209       0.021209
b.(Intercept).148           -4.291e-01  0.66376 0.020990       0.020990
b.(Intercept).149           -1.884e+00  0.64435 0.020376       0.020376
b.(Intercept).15             1.534e+00  0.66327 0.020975       0.020975
b.(Intercept).150           -1.311e+00  0.67305 0.021284       0.022278
b.(Intercept).151           -9.639e-02  0.69043 0.021833       0.024414
b.(Intercept).152           -6.612e-01  0.66415 0.021002       0.021002
b.(Intercept).153            8.272e-01  0.66083 0.020897       0.020897
b.(Intercept).154           -1.324e+00  0.70110 0.022171       0.022171
b.(Intercept).155           -8.102e-01  0.64235 0.020313       0.020313
b.(Intercept).156            2.409e+00  0.67471 0.021336       0.021336
b.(Intercept).157            7.447e-01  0.66028 0.020880       0.018770
b.(Intercept).158           -1.269e+00  0.65431 0.020691       0.020691
b.(Intercept).159           -5.756e-01  0.65004 0.020556       0.020556
b.(Intercept).16            -8.456e-01  0.66148 0.020918       0.020918
b.(Intercept).160           -1.332e+00  0.65998 0.020870       0.016335
b.(Intercept).161           -1.613e+00  0.67355 0.021299       0.021299
b.(Intercept).162            4.920e-02  0.68281 0.021592       0.021592
b.(Intercept).163           -3.350e-01  0.66575 0.021053       0.020620
b.(Intercept).164            2.068e+00  0.64987 0.020551       0.020551
b.(Intercept).165           -4.406e-01  0.68003 0.021504       0.021504
b.(Intercept).166           -1.234e+00  0.64748 0.020475       0.020475
b.(Intercept).167           -4.106e-01  0.65711 0.020780       0.019800
b.(Intercept).168           -4.697e-01  0.64569 0.020419       0.018191
b.(Intercept).169           -6.816e-01  0.66306 0.020968       0.020968
b.(Intercept).17             2.289e+00  0.64481 0.020391       0.020391
b.(Intercept).170            1.848e+00  0.65414 0.020686       0.021740
b.(Intercept).171            3.862e-01  0.66308 0.020968       0.020968
b.(Intercept).172           -4.050e-02  0.66492 0.021027       0.021027
b.(Intercept).173           -1.012e+00  0.68245 0.021581       0.015691
b.(Intercept).174           -7.466e-01  0.65324 0.020657       0.020657
b.(Intercept).175           -2.444e-01  0.66827 0.021132       0.021132
b.(Intercept).176           -1.920e+00  0.64875 0.020515       0.019189
b.(Intercept).177           -1.019e-01  0.66912 0.021159       0.021159
b.(Intercept).178           -3.519e-01  0.65746 0.020791       0.020791
b.(Intercept).179           -1.587e+00  0.67688 0.021405       0.021405
b.(Intercept).18             4.448e-01  0.65870 0.020830       0.025540
b.(Intercept).180            4.511e-02  0.66424 0.021005       0.021005
b.(Intercept).181           -4.189e-01  0.66579 0.021054       0.021054
b.(Intercept).182            6.958e-01  0.64137 0.020282       0.020282
b.(Intercept).183           -1.387e+00  0.66435 0.021009       0.021009
b.(Intercept).184            3.438e+00  0.65904 0.020841       0.019933
b.(Intercept).185            2.624e+00  0.66455 0.021015       0.017838
b.(Intercept).186            2.057e+00  0.66907 0.021158       0.021158
b.(Intercept).187           -1.172e+00  0.68212 0.021571       0.021571
b.(Intercept).188            1.518e+00  0.65355 0.020667       0.020667
b.(Intercept).189            1.833e+00  0.66265 0.020955       0.019445
b.(Intercept).19             1.225e+00  0.65382 0.020675       0.021693
b.(Intercept).190           -1.418e+00  0.64401 0.020365       0.020365
b.(Intercept).191            1.095e+00  0.65879 0.020833       0.020833
b.(Intercept).192           -1.048e+00  0.64634 0.020439       0.019749
b.(Intercept).193           -1.343e+00  0.65866 0.020829       0.020829
b.(Intercept).194            3.854e-01  0.65184 0.020613       0.020613
b.(Intercept).195            1.860e+00  0.69151 0.021868       0.020802
b.(Intercept).196           -1.038e+00  0.67796 0.021439       0.021439
b.(Intercept).197            1.806e+00  0.65464 0.020702       0.020702
b.(Intercept).198           -1.676e-02  0.67099 0.021219       0.016954
b.(Intercept).199            2.045e+00  0.65459 0.020700       0.020700
b.(Intercept).2             -8.397e-01  0.66188 0.020930       0.020930
b.(Intercept).20            -5.541e-01  0.65913 0.020844       0.020844
b.(Intercept).200           -6.912e-01  0.67001 0.021188       0.021188
b.(Intercept).21            -9.226e-01  0.65239 0.020630       0.020630
b.(Intercept).22             6.269e-01  0.66509 0.021032       0.022476
b.(Intercept).23             6.264e-01  0.65715 0.020781       0.020781
b.(Intercept).24             1.066e+00  0.66917 0.021161       0.021161
b.(Intercept).25            -1.593e+00  0.66027 0.020880       0.022578
b.(Intercept).26            -4.995e-02  0.66237 0.020946       0.020946
b.(Intercept).27            -1.306e+00  0.65702 0.020777       0.020777
b.(Intercept).28             5.308e-01  0.66507 0.021031       0.022118
b.(Intercept).29             9.457e-01  0.66734 0.021103       0.021103
b.(Intercept).3             -1.043e+00  0.64365 0.020354       0.020354
b.(Intercept).30             3.364e-01  0.66025 0.020879       0.020879
b.(Intercept).31            -1.327e+00  0.65744 0.020790       0.021638
b.(Intercept).32            -1.294e-01  0.65110 0.020590       0.020590
b.(Intercept).33             4.930e-01  0.64831 0.020501       0.020501
b.(Intercept).34             7.995e-01  0.65010 0.020558       0.020558
b.(Intercept).35             8.524e-01  0.66297 0.020965       0.020965
b.(Intercept).36             1.735e+00  0.66104 0.020904       0.020904
b.(Intercept).37             3.096e-01  0.65468 0.020703       0.020703
b.(Intercept).38            -8.229e-01  0.63197 0.019985       0.017568
b.(Intercept).39             2.246e+00  0.66258 0.020953       0.020796
b.(Intercept).4              9.030e-01  0.65642 0.020758       0.018602
b.(Intercept).40            -1.158e+00  0.62849 0.019875       0.021231
b.(Intercept).41             1.267e+00  0.67278 0.021275       0.016885
b.(Intercept).42            -3.942e-01  0.66652 0.021077       0.020007
b.(Intercept).43             5.314e-01  0.66007 0.020873       0.019593
b.(Intercept).44             9.014e-03  0.64636 0.020440       0.020125
b.(Intercept).45             1.064e-01  0.66028 0.020880       0.020880
b.(Intercept).46            -5.236e-01  0.65995 0.020869       0.020869
b.(Intercept).47             1.812e+00  0.64471 0.020388       0.021628
b.(Intercept).48             1.100e+00  0.65735 0.020787       0.021762
b.(Intercept).49            -1.395e+00  0.66759 0.021111       0.021111
b.(Intercept).5             -9.057e-01  0.68019 0.021510       0.021510
b.(Intercept).50            -2.643e+00  0.66064 0.020891       0.019927
b.(Intercept).51            -3.018e-01  0.68958 0.021806       0.021390
b.(Intercept).52            -1.468e+00  0.64687 0.020456       0.020456
b.(Intercept).53             7.375e-01  0.65440 0.020694       0.020694
b.(Intercept).54            -1.189e+00  0.66472 0.021020       0.021020
b.(Intercept).55             1.704e-01  0.68004 0.021505       0.021505
b.(Intercept).56            -8.046e-01  0.64623 0.020436       0.020436
b.(Intercept).57             1.559e+00  0.68785 0.021752       0.021752
b.(Intercept).58            -2.572e-01  0.67797 0.021439       0.021439
b.(Intercept).59            -9.158e-01  0.65380 0.020675       0.020675
b.(Intercept).6             -2.926e-01  0.63853 0.020192       0.020192
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b.height400.118             -5.612e-01  0.69886 0.022100       0.022100
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b.height400.12               1.247e-01  0.71654 0.022659       0.022659
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b.height400.122              4.733e-01  0.70686 0.022353       0.022353
b.height400.123             -5.583e-01  0.72467 0.022916       0.022916
b.height400.124              6.879e-01  0.70381 0.022256       0.022256
b.height400.125              3.233e-01  0.66798 0.021124       0.021124
b.height400.126              5.769e-01  0.69121 0.021858       0.021858
b.height400.127             -7.879e-01  0.71762 0.022693       0.022693
b.height400.128             -6.715e-01  0.70245 0.022213       0.022213
b.height400.129             -3.403e-01  0.69733 0.022051       0.021782
b.height400.13               3.871e-01  0.68883 0.021783       0.021783
b.height400.130             -4.765e-01  0.72782 0.023016       0.023016
b.height400.131             -4.990e-01  0.69570 0.022000       0.018741
b.height400.132             -2.552e-01  0.70726 0.022366       0.024851
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b.height400.134             -1.264e+00  0.69888 0.022101       0.022101
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b.height400.136             -6.254e-01  0.71414 0.022583       0.022583
b.height400.137             -1.010e-01  0.72196 0.022830       0.022830
b.height400.138              5.256e-01  0.72927 0.023062       0.024490
b.height400.139              4.298e-01  0.70800 0.022389       0.022389
b.height400.14              -6.819e-01  0.72763 0.023010       0.023010
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b.height400.141             -2.744e-01  0.70766 0.022378       0.022378
b.height400.142              3.973e-01  0.70017 0.022141       0.022141
b.height400.143             -1.239e+00  0.72228 0.022840       0.020810
b.height400.144             -8.023e-01  0.73160 0.023135       0.025495
b.height400.145             -8.559e-01  0.72119 0.022806       0.022806
b.height400.146              1.246e+00  0.70431 0.022272       0.022272
b.height400.147              5.446e-01  0.71962 0.022757       0.021159
b.height400.148              5.879e-01  0.67747 0.021424       0.022598
b.height400.149             -3.221e-01  0.71757 0.022692       0.025295
b.height400.15              -1.859e-01  0.73432 0.023221       0.020174
b.height400.150             -1.654e-01  0.69062 0.021839       0.021839
b.height400.151              7.012e-01  0.72537 0.022938       0.022938
b.height400.152             -8.948e-01  0.70517 0.022300       0.022300
b.height400.153              9.531e-03  0.69241 0.021896       0.021896
b.height400.154             -7.790e-01  0.71905 0.022738       0.022738
b.height400.155              2.317e-01  0.69790 0.022069       0.022069
b.height400.156              3.204e-01  0.73352 0.023196       0.023196
b.height400.157              5.043e-01  0.69466 0.021967       0.021967
b.height400.158             -9.309e-03  0.71719 0.022679       0.024443
b.height400.159             -3.149e-01  0.68447 0.021645       0.021645
b.height400.16               9.834e-02  0.66884 0.021150       0.022888
b.height400.160             -9.225e-02  0.69507 0.021980       0.020656
b.height400.161             -3.418e-01  0.71363 0.022567       0.022567
b.height400.162             -7.624e-01  0.70813 0.022393       0.022393
b.height400.163             -4.611e-01  0.71550 0.022626       0.022626
b.height400.164             -1.754e-01  0.71898 0.022736       0.022736
b.height400.165              1.101e+00  0.68399 0.021630       0.021630
b.height400.166              4.247e-01  0.67469 0.021336       0.021336
b.height400.167              1.457e-01  0.69935 0.022115       0.022115
b.height400.168             -1.389e-01  0.69320 0.021921       0.021921
b.height400.169              1.142e+00  0.77475 0.024500       0.024500
b.height400.17               4.402e-01  0.73129 0.023125       0.023125
b.height400.170             -1.212e+00  0.73362 0.023199       0.023199
b.height400.171             -1.136e+00  0.71474 0.022602       0.023913
b.height400.172              9.076e-01  0.72877 0.023046       0.024132
b.height400.173             -4.781e-01  0.69698 0.022040       0.022040
b.height400.174              2.178e-01  0.72308 0.022866       0.022866
b.height400.175              8.627e-01  0.69640 0.022022       0.022022
b.height400.176             -1.660e-01  0.71824 0.022713       0.022713
b.height400.177             -8.463e-01  0.69590 0.022006       0.022006
b.height400.178             -3.653e-01  0.68109 0.021538       0.021538
b.height400.179             -7.010e-01  0.70611 0.022329       0.022329
b.height400.18               4.226e-02  0.70519 0.022300       0.021073
b.height400.180             -3.280e-01  0.71247 0.022530       0.022530
b.height400.181             -4.275e-01  0.73136 0.023128       0.023128
b.height400.182             -6.571e-01  0.68702 0.021725       0.029638
b.height400.183             -1.734e-01  0.71979 0.022762       0.024131
b.height400.184              2.611e-01  0.75397 0.023843       0.023843
b.height400.185             -3.421e-01  0.68820 0.021763       0.023259
b.height400.186             -3.574e-01  0.72772 0.023013       0.023013
b.height400.187             -5.722e-01  0.71934 0.022747       0.024181
b.height400.188             -4.419e-01  0.72076 0.022792       0.022792
b.height400.189             -3.329e-01  0.73236 0.023159       0.023159
b.height400.19              -1.639e-01  0.68788 0.021753       0.021753
b.height400.190             -5.962e-01  0.68641 0.021706       0.018314
b.height400.191             -4.391e-01  0.70164 0.022188       0.022188
b.height400.192             -4.409e-01  0.70669 0.022347       0.022347
b.height400.193             -8.449e-01  0.71527 0.022619       0.022619
b.height400.194             -2.749e-01  0.69053 0.021836       0.021836
b.height400.195              4.740e-01  0.69340 0.021927       0.021927
b.height400.196             -5.513e-01  0.73574 0.023266       0.023266
b.height400.197              3.229e-01  0.70662 0.022345       0.023828
b.height400.198              9.732e-02  0.70890 0.022418       0.022418
b.height400.199             -8.956e-01  0.72986 0.023080       0.023080
b.height400.2                1.381e+00  0.75313 0.023816       0.023816
b.height400.20               7.446e-01  0.73269 0.023170       0.023170
b.height400.200              9.610e-01  0.72243 0.022845       0.022452
b.height400.21               1.351e+00  0.73738 0.023318       0.023318
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b.height400.23               8.241e-01  0.70461 0.022282       0.018402
b.height400.24               1.059e+00  0.71886 0.022732       0.022732
b.height400.25              -2.401e-03  0.68356 0.021616       0.021616
b.height400.26              -2.003e-01  0.72150 0.022816       0.022816
b.height400.27              -8.015e-02  0.70099 0.022167       0.020583
b.height400.28               1.525e-02  0.68472 0.021653       0.020529
b.height400.29              -1.029e+00  0.71090 0.022481       0.022481
b.height400.3               -8.877e-02  0.66942 0.021169       0.021169
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b.height400.58               3.821e-01  0.71590 0.022639       0.022639
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b.height400.87              -1.336e-01  0.71972 0.022760       0.022760
b.height400.88              -2.381e-01  0.72854 0.023039       0.025581
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b.height400.93              -4.605e-01  0.72482 0.022921       0.022921
b.height400.94               9.460e-01  0.70706 0.022359       0.022359
b.height400.95               3.966e-01  0.68996 0.021819       0.021819
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b.height400.99              -5.914e-01  0.69698 0.022040       0.022040
b.constWood.1                2.251e-01  0.84364 0.026678       0.026678
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b.constWood.100             -1.196e+00  0.83701 0.026469       0.026469
b.constWood.101              2.190e-01  0.83845 0.026514       0.027993
b.constWood.102             -1.761e+00  0.84820 0.026822       0.026822
b.constWood.103             -5.314e-01  0.75312 0.023816       0.023816
b.constWood.104             -1.984e+00  0.85032 0.026890       0.026890
b.constWood.105             -1.388e+00  0.82616 0.026126       0.026126
b.constWood.106              1.828e+00  0.82899 0.026215       0.028945
b.constWood.107              2.256e+00  0.83553 0.026422       0.026422
b.constWood.108             -2.287e-01  0.82572 0.026111       0.026111
b.constWood.109             -1.604e+00  0.83847 0.026515       0.026515
b.constWood.11               4.102e-01  0.81760 0.025855       0.025855
b.constWood.110              1.324e+00  0.83687 0.026464       0.026464
b.constWood.111             -1.090e+00  0.82049 0.025946       0.025946
b.constWood.112             -4.749e-01  0.82135 0.025973       0.026462
b.constWood.113             -2.088e+00  0.84495 0.026720       0.026720
b.constWood.114              3.186e-02  0.85208 0.026945       0.026945
b.constWood.115             -1.214e+00  0.85807 0.027135       0.028786
b.constWood.116              1.686e+00  0.81749 0.025851       0.037068
b.constWood.117             -8.464e-01  0.82897 0.026214       0.026214
b.constWood.118             -1.575e+00  0.87192 0.027573       0.027573
b.constWood.119             -1.612e+00  0.80328 0.025402       0.025402
b.constWood.12               1.620e+00  0.82343 0.026039       0.027599
b.constWood.120             -3.355e-01  0.83269 0.026332       0.026332
b.constWood.121             -5.831e-01  0.79181 0.025039       0.025039
b.constWood.122              6.846e-01  0.79992 0.025296       0.025296
b.constWood.123              7.046e-01  0.82725 0.026160       0.027648
b.constWood.124             -5.967e-01  0.82884 0.026210       0.026210
b.constWood.125             -5.191e-01  0.79985 0.025293       0.025293
b.constWood.126              9.195e-01  0.85192 0.026940       0.026940
b.constWood.127             -1.566e+00  0.85542 0.027051       0.027051
b.constWood.128              2.862e+00  0.82790 0.026181       0.026181
b.constWood.129              6.292e-01  0.84779 0.026809       0.026809
b.constWood.13              -6.734e-01  0.80332 0.025403       0.024261
b.constWood.130             -7.299e-01  0.81941 0.025912       0.022126
b.constWood.131              2.065e+00  0.86556 0.027372       0.025978
b.constWood.132             -8.530e-01  0.86328 0.027299       0.026101
b.constWood.133              2.542e+00  0.82865 0.026204       0.026204
b.constWood.134              5.629e-01  0.87020 0.027518       0.027518
b.constWood.135              1.932e-02  0.82818 0.026189       0.026189
b.constWood.136              7.642e-01  0.85091 0.026908       0.026908
b.constWood.137              2.454e+00  0.82250 0.026010       0.026010
b.constWood.138             -7.125e-01  0.83717 0.026474       0.026474
b.constWood.139              1.068e+00  0.82976 0.026239       0.026239
b.constWood.14              -2.008e+00  0.87556 0.027688       0.025906
b.constWood.140              1.647e+00  0.79370 0.025099       0.026339
b.constWood.141             -1.989e+00  0.82746 0.026167       0.026167
b.constWood.142              1.044e+00  0.83213 0.026314       0.027964
b.constWood.143              9.741e-01  0.82503 0.026090       0.026090
b.constWood.144             -1.218e+00  0.84346 0.026673       0.026673
b.constWood.145              2.692e+00  0.86514 0.027358       0.027358
b.constWood.146             -6.171e-01  0.86596 0.027384       0.027384
b.constWood.147              1.999e+00  0.85163 0.026931       0.026931
b.constWood.148             -7.042e-01  0.83465 0.026394       0.026394
b.constWood.149              1.281e-01  0.83343 0.026355       0.028229
b.constWood.15               5.056e-01  0.84159 0.026613       0.026613
b.constWood.150              1.656e+00  0.83125 0.026286       0.026286
b.constWood.151             -8.115e-01  0.85974 0.027187       0.030271
b.constWood.152              3.334e-01  0.84671 0.026775       0.026775
b.constWood.153             -1.410e+00  0.84185 0.026622       0.026622
b.constWood.154              1.354e+00  0.84982 0.026874       0.023860
b.constWood.155              1.805e-01  0.80995 0.025613       0.027147
b.constWood.156             -1.453e+00  0.83132 0.026289       0.026289
b.constWood.157             -2.186e+00  0.83847 0.026515       0.028135
b.constWood.158              5.190e-01  0.81610 0.025807       0.025807
b.constWood.159              1.079e+00  0.80403 0.025426       0.025426
b.constWood.16               1.183e+00  0.81125 0.025654       0.025654
b.constWood.160              2.466e-01  0.84029 0.026572       0.026572
b.constWood.161              1.330e+00  0.86067 0.027217       0.027217
b.constWood.162              5.188e-01  0.84962 0.026867       0.025202
b.constWood.163             -1.365e+00  0.88611 0.028021       0.029417
b.constWood.164             -9.549e-01  0.85942 0.027177       0.027177
b.constWood.165             -6.142e-01  0.81877 0.025892       0.025892
b.constWood.166              1.729e+00  0.78713 0.024891       0.024891
b.constWood.167             -1.112e+00  0.86823 0.027456       0.027456
b.constWood.168              4.619e-01  0.82088 0.025958       0.024609
b.constWood.169              1.520e+00  0.83162 0.026298       0.026298
b.constWood.17              -2.547e+00  0.82481 0.026083       0.026083
b.constWood.170              5.144e-01  0.83487 0.026401       0.026116
b.constWood.171             -1.531e-01  0.83989 0.026560       0.027425
b.constWood.172             -5.741e-01  0.83165 0.026299       0.026299
b.constWood.173              6.303e-01  0.86279 0.027284       0.027284
b.constWood.174             -3.859e-01  0.83010 0.026250       0.026250
b.constWood.175              5.375e-02  0.79121 0.025020       0.025020
b.constWood.176              1.198e+00  0.81201 0.025678       0.025879
b.constWood.177              1.128e+00  0.81532 0.025783       0.025783
b.constWood.178              6.276e-01  0.81047 0.025629       0.025629
b.constWood.179              2.047e+00  0.82211 0.025998       0.025998
b.constWood.18               6.021e-01  0.82379 0.026051       0.026051
b.constWood.180             -8.216e-01  0.84243 0.026640       0.026640
b.constWood.181             -1.205e-01  0.84602 0.026754       0.026754
b.constWood.182              5.670e-01  0.81821 0.025874       0.025874
b.constWood.183              3.308e-01  0.85455 0.027023       0.027023
b.constWood.184             -3.138e+00  0.85737 0.027112       0.027112
b.constWood.185             -4.971e-01  0.83274 0.026333       0.026333
b.constWood.186             -2.602e-01  0.84743 0.026798       0.026798
b.constWood.187              2.582e+00  0.81706 0.025838       0.027540
b.constWood.188             -1.581e+00  0.84684 0.026780       0.026780
b.constWood.189             -1.507e+00  0.83884 0.026527       0.026527
b.constWood.19              -2.963e-01  0.81430 0.025750       0.023651
b.constWood.190              8.229e-01  0.80215 0.025366       0.025366
b.constWood.191             -1.033e+00  0.83495 0.026403       0.026403
b.constWood.192              1.931e+00  0.83852 0.026516       0.026516
b.constWood.193              1.384e+00  0.83930 0.026541       0.026541
b.constWood.194             -1.384e+00  0.83186 0.026306       0.026306
b.constWood.195             -2.588e+00  0.84027 0.026572       0.026572
b.constWood.196              2.579e+00  0.83697 0.026467       0.026467
b.constWood.197             -8.601e-01  0.84279 0.026651       0.026651
b.constWood.198             -1.363e+00  0.80816 0.025556       0.026496
b.constWood.199              7.478e-01  0.80951 0.025599       0.025599
b.constWood.2                1.649e+00  0.85652 0.027086       0.028995
b.constWood.20              -1.139e+00  0.86169 0.027249       0.027249
b.constWood.200              5.984e-01  0.84380 0.026683       0.027689
b.constWood.21               6.362e-02  0.80703 0.025521       0.034514
b.constWood.22              -8.304e-01  0.84432 0.026700       0.026700
b.constWood.23              -1.531e+00  0.81455 0.025758       0.025758
b.constWood.24              -2.135e+00  0.80298 0.025393       0.029406
b.constWood.25               8.295e-01  0.80136 0.025341       0.025341
b.constWood.26              -1.546e-01  0.82481 0.026083       0.026083
b.constWood.27               3.960e-01  0.84276 0.026650       0.026650
b.constWood.28              -9.575e-02  0.83289 0.026338       0.026338
b.constWood.29              -1.249e+00  0.85257 0.026961       0.026738
b.constWood.3                6.541e-01  0.84728 0.026793       0.026793
b.constWood.30              -7.093e-01  0.79736 0.025215       0.028617
b.constWood.31               2.931e-01  0.84906 0.026850       0.026850
b.constWood.32               3.691e-02  0.82748 0.026167       0.025248
b.constWood.33               7.763e-01  0.81672 0.025827       0.025827
b.constWood.34              -3.476e-01  0.81943 0.025913       0.025913
b.constWood.35              -7.439e-01  0.77599 0.024539       0.024539
b.constWood.36              -2.661e-01  0.83190 0.026307       0.026307
b.constWood.37               7.654e-01  0.83170 0.026301       0.026301
b.constWood.38              -1.300e-01  0.83790 0.026497       0.028031
b.constWood.39              -1.421e+00  0.79370 0.025099       0.025099
b.constWood.4               -7.976e-01  0.84622 0.026760       0.026760
b.constWood.40               8.409e-01  0.80639 0.025500       0.027608
b.constWood.41              -2.904e+00  0.86152 0.027244       0.027244
b.constWood.42               1.064e+00  0.85494 0.027035       0.027035
b.constWood.43              -6.368e-01  0.83905 0.026533       0.026533
b.constWood.44              -1.160e+00  0.82663 0.026140       0.026140
b.constWood.45              -6.466e-01  0.81800 0.025868       0.025868
b.constWood.46               1.540e-01  0.81510 0.025776       0.025776
b.constWood.47              -1.381e+00  0.83856 0.026518       0.026518
b.constWood.48              -1.190e+00  0.81377 0.025734       0.025734
b.constWood.49               2.211e+00  0.82631 0.026130       0.026130
b.constWood.5                1.534e+00  0.81601 0.025805       0.025805
b.constWood.50               8.228e-01  0.83934 0.026542       0.025241
b.constWood.51              -1.377e+00  0.84506 0.026723       0.026723
b.constWood.52               1.704e+00  0.82179 0.025987       0.026257
b.constWood.53              -1.474e+00  0.81792 0.025865       0.025865
b.constWood.54               1.139e+00  0.82801 0.026184       0.026184
b.constWood.55              -5.560e-02  0.84188 0.026623       0.026623
b.constWood.56               1.594e+00  0.82164 0.025982       0.025982
b.constWood.57              -1.413e+00  0.83225 0.026318       0.026318
b.constWood.58               2.698e-01  0.85604 0.027070       0.027070
b.constWood.59               8.521e-02  0.83373 0.026365       0.025200
b.constWood.6               -6.558e-01  0.81338 0.025721       0.025721
b.constWood.60               5.385e-02  0.81682 0.025830       0.025830
b.constWood.61               1.617e+00  0.83600 0.026437       0.026437
b.constWood.62              -1.954e+00  0.82237 0.026006       0.026006
b.constWood.63              -8.907e-01  0.85747 0.027116       0.027116
b.constWood.64              -1.882e+00  0.81972 0.025922       0.025922
b.constWood.65               1.377e+00  0.86478 0.027347       0.027347
b.constWood.66              -6.745e-01  0.85188 0.026939       0.026939
b.constWood.67               3.884e-01  0.82546 0.026103       0.026103
b.constWood.68              -1.872e+00  0.81477 0.025765       0.025765
b.constWood.69               1.167e+00  0.81816 0.025872       0.025872
b.constWood.7               -1.573e+00  0.83369 0.026363       0.026363
b.constWood.70              -3.090e-01  0.79618 0.025177       0.025177
b.constWood.71              -2.383e+00  0.82670 0.026143       0.026873
b.constWood.72              -1.030e+00  0.84090 0.026592       0.024160
b.constWood.73               1.939e+00  0.84176 0.026619       0.026619
b.constWood.74               1.877e-02  0.82485 0.026084       0.026084
b.constWood.75               1.039e+00  0.83337 0.026353       0.026353
b.constWood.76               2.689e-01  0.81617 0.025810       0.025810
b.constWood.77               8.766e-01  0.81254 0.025695       0.025695
b.constWood.78              -7.633e-01  0.85104 0.026912       0.026912
b.constWood.79               1.389e+00  0.81540 0.025785       0.025785
b.constWood.8                1.850e+00  0.81999 0.025930       0.025930
b.constWood.80              -1.552e+00  0.84226 0.026635       0.026635
b.constWood.81              -1.573e+00  0.83043 0.026261       0.026261
b.constWood.82               1.700e+00  0.81762 0.025855       0.025855
b.constWood.83               2.950e-02  0.84256 0.026644       0.026644
b.constWood.84               4.747e-01  0.85845 0.027147       0.027147
b.constWood.85               8.489e-02  0.79836 0.025246       0.026744
b.constWood.86               2.835e-01  0.81773 0.025859       0.024741
b.constWood.87               1.487e+00  0.80057 0.025316       0.024550
b.constWood.88               1.451e+00  0.81344 0.025723       0.025723
b.constWood.89               1.203e-01  0.81018 0.025620       0.025620
b.constWood.9                1.167e+00  0.81140 0.025659       0.025659
b.constWood.90               9.264e-01  0.82007 0.025933       0.025933
b.constWood.91               1.666e-01  0.81130 0.025656       0.023852
b.constWood.92              -1.053e+00  0.83205 0.026312       0.026312
b.constWood.93              -1.437e+00  0.83836 0.026511       0.030937
b.constWood.94              -6.967e-01  0.83822 0.026507       0.028074
b.constWood.95              -3.026e-02  0.83982 0.026557       0.026557
b.constWood.96               5.381e-01  0.81961 0.025918       0.025918
b.constWood.97               1.870e+00  0.84093 0.026593       0.026593
b.constWood.98              -7.069e-01  0.84377 0.026682       0.025785
b.constWood.99              -7.667e-01  0.83948 0.026547       0.026547
b.themeEagle.1               4.180e-01  0.80181 0.025356       0.025356
b.themeEagle.10             -1.343e-01  0.83181 0.026304       0.026304
b.themeEagle.100            -3.477e-01  0.78610 0.024859       0.024859
b.themeEagle.101             1.368e+00  0.78678 0.024880       0.026787
b.themeEagle.102             4.989e-01  0.81797 0.025867       0.024214
b.themeEagle.103             5.943e-03  0.78737 0.024899       0.023757
b.themeEagle.104             1.701e-01  0.79486 0.025136       0.026304
b.themeEagle.105             4.473e-01  0.82750 0.026168       0.027774
b.themeEagle.106             4.715e-02  0.81977 0.025923       0.025923
b.themeEagle.107             9.298e-01  0.80278 0.025386       0.025386
b.themeEagle.108             2.613e+00  0.80365 0.025414       0.025414
b.themeEagle.109            -6.503e-01  0.78832 0.024929       0.024929
b.themeEagle.11             -6.653e-01  0.80861 0.025570       0.025570
b.themeEagle.110             2.066e-01  0.79385 0.025104       0.025104
b.themeEagle.111             1.407e-01  0.80154 0.025347       0.026715
b.themeEagle.112             1.013e+00  0.79444 0.025122       0.025122
b.themeEagle.113            -3.919e-01  0.81038 0.025627       0.025627
b.themeEagle.114            -4.031e-01  0.79913 0.025271       0.025271
b.themeEagle.115             1.290e+00  0.82833 0.026194       0.027632
b.themeEagle.116            -1.615e+00  0.84592 0.026750       0.026750
b.themeEagle.117             6.113e-01  0.80750 0.025535       0.025535
b.themeEagle.118             3.926e-01  0.81241 0.025691       0.025691
b.themeEagle.119             2.539e-01  0.81860 0.025887       0.025887
b.themeEagle.12             -1.892e-01  0.81827 0.025876       0.025876
b.themeEagle.120            -3.846e-02  0.80858 0.025570       0.027194
b.themeEagle.121            -9.188e-01  0.80524 0.025464       0.025464
b.themeEagle.122            -5.564e-01  0.81650 0.025820       0.025820
b.themeEagle.123             6.886e-01  0.81337 0.025721       0.025984
b.themeEagle.124            -4.295e-02  0.80679 0.025513       0.025513
b.themeEagle.125             1.106e+00  0.79290 0.025074       0.025074
b.themeEagle.126             1.142e+00  0.82565 0.026109       0.026109
b.themeEagle.127            -3.952e-01  0.79289 0.025073       0.025073
b.themeEagle.128            -9.360e-01  0.78583 0.024850       0.027078
b.themeEagle.129            -2.242e+00  0.82041 0.025944       0.027085
b.themeEagle.13              5.646e-01  0.76112 0.024069       0.024069
b.themeEagle.130             8.115e-02  0.82019 0.025937       0.025777
b.themeEagle.131            -1.084e+00  0.78839 0.024931       0.024931
b.themeEagle.132            -2.492e+00  0.80750 0.025535       0.025535
b.themeEagle.133             3.671e-01  0.82898 0.026215       0.026215
b.themeEagle.134            -1.894e+00  0.81375 0.025733       0.025733
b.themeEagle.135            -1.559e+00  0.79850 0.025251       0.025251
b.themeEagle.136            -1.133e+00  0.81985 0.025926       0.025926
b.themeEagle.137             1.093e-01  0.78236 0.024740       0.024740
b.themeEagle.138             1.634e+00  0.82752 0.026168       0.026168
b.themeEagle.139            -9.989e-01  0.83452 0.026390       0.026390
b.themeEagle.14             -1.796e+00  0.83150 0.026294       0.025024
b.themeEagle.140             7.764e-01  0.79886 0.025262       0.027845
b.themeEagle.141            -1.291e-01  0.79543 0.025154       0.025154
b.themeEagle.142            -1.254e-01  0.80170 0.025352       0.025352
b.themeEagle.143            -1.327e+00  0.78477 0.024817       0.024817
b.themeEagle.144            -1.450e+00  0.84146 0.026609       0.026609
b.themeEagle.145            -1.050e+00  0.80841 0.025564       0.025564
b.themeEagle.146             7.974e-01  0.81835 0.025878       0.025878
b.themeEagle.147             1.870e+00  0.82724 0.026160       0.026160
b.themeEagle.148             1.006e+00  0.81167 0.025667       0.025667
b.themeEagle.149             1.994e+00  0.80976 0.025607       0.025607
b.themeEagle.15             -1.807e+00  0.81611 0.025808       0.025808
b.themeEagle.150             4.644e-01  0.83454 0.026391       0.027845
b.themeEagle.151             8.059e-01  0.80797 0.025550       0.025550
b.themeEagle.152             7.317e-01  0.77400 0.024476       0.023933
b.themeEagle.153            -4.554e-01  0.78379 0.024786       0.022570
b.themeEagle.154            -1.862e-02  0.81803 0.025868       0.025868
b.themeEagle.155             6.206e-01  0.79539 0.025152       0.025152
b.themeEagle.156            -3.855e-01  0.78105 0.024699       0.024699
b.themeEagle.157             8.563e-01  0.82539 0.026101       0.026101
b.themeEagle.158             7.809e-01  0.83407 0.026375       0.026375
b.themeEagle.159            -2.436e-01  0.80818 0.025557       0.025557
b.themeEagle.16              3.856e-01  0.80770 0.025542       0.025639
b.themeEagle.160             8.634e-01  0.79084 0.025008       0.025008
b.themeEagle.161             1.128e+00  0.80844 0.025565       0.025565
b.themeEagle.162             4.081e-02  0.84532 0.026731       0.026731
b.themeEagle.163             2.016e+00  0.84373 0.026681       0.026681
b.themeEagle.164            -1.654e+00  0.80143 0.025343       0.025343
b.themeEagle.165             1.411e+00  0.80621 0.025495       0.028265
b.themeEagle.166             4.884e-01  0.81609 0.025807       0.025807
b.themeEagle.167             2.394e-01  0.79362 0.025097       0.025097
b.themeEagle.168            -1.399e-02  0.81576 0.025797       0.025797
b.themeEagle.169             2.003e-01  0.81349 0.025725       0.025725
b.themeEagle.17              2.029e-01  0.77599 0.024539       0.024539
b.themeEagle.170            -1.844e+00  0.79114 0.025018       0.025018
b.themeEagle.171            -1.307e-03  0.80786 0.025547       0.025547
b.themeEagle.172             1.236e+00  0.80790 0.025548       0.025548
b.themeEagle.173            -5.433e-01  0.82616 0.026125       0.026125
b.themeEagle.174            -1.242e-01  0.79125 0.025022       0.025022
b.themeEagle.175            -6.775e-02  0.80269 0.025383       0.025186
b.themeEagle.176             1.096e+00  0.78532 0.024834       0.024834
b.themeEagle.177            -1.658e+00  0.81234 0.025688       0.025688
b.themeEagle.178             8.359e-01  0.79921 0.025273       0.025273
b.themeEagle.179             3.177e-01  0.77791 0.024600       0.024600
b.themeEagle.18             -2.091e-01  0.76907 0.024320       0.025896
b.themeEagle.180            -2.985e-01  0.82466 0.026078       0.026078
b.themeEagle.181             1.341e+00  0.80289 0.025390       0.025390
b.themeEagle.182            -1.542e+00  0.81949 0.025914       0.025914
b.themeEagle.183             1.216e+00  0.79136 0.025025       0.026676
b.themeEagle.184            -1.029e+00  0.82372 0.026048       0.027351
b.themeEagle.185            -2.187e+00  0.84772 0.026807       0.026807
b.themeEagle.186            -2.451e+00  0.83492 0.026403       0.026403
b.themeEagle.187             3.622e-01  0.80277 0.025386       0.025386
b.themeEagle.188            -1.260e+00  0.82490 0.026085       0.026085
b.themeEagle.189            -1.468e+00  0.78468 0.024814       0.024814
b.themeEagle.19             -8.043e-01  0.78446 0.024807       0.024807
b.themeEagle.190             1.026e-01  0.81049 0.025630       0.023590
b.themeEagle.191            -1.361e+00  0.80978 0.025607       0.025607
b.themeEagle.192             3.540e-01  0.82606 0.026122       0.026122
b.themeEagle.193             7.911e-01  0.78566 0.024845       0.024845
b.themeEagle.194             7.756e-01  0.81940 0.025912       0.029706
b.themeEagle.195            -9.993e-02  0.82663 0.026140       0.026140
b.themeEagle.196            -1.420e+00  0.82201 0.025994       0.025994
b.themeEagle.197            -1.440e+00  0.77351 0.024461       0.024461
b.themeEagle.198             9.685e-01  0.82634 0.026131       0.026131
b.themeEagle.199            -2.272e+00  0.78613 0.024859       0.024859
b.themeEagle.2              -6.126e-01  0.84377 0.026682       0.028090
b.themeEagle.20              2.565e+00  0.82401 0.026057       0.028160
b.themeEagle.200             4.566e-01  0.83809 0.026503       0.026503
b.themeEagle.21              5.522e-01  0.78870 0.024941       0.024941
b.themeEagle.22              5.030e-01  0.84794 0.026814       0.029476
b.themeEagle.23             -1.161e-01  0.78770 0.024909       0.024909
b.themeEagle.24              1.127e+00  0.80564 0.025476       0.025476
b.themeEagle.25              4.771e-01  0.78662 0.024875       0.023659
b.themeEagle.26             -9.187e-02  0.76289 0.024125       0.024125
b.themeEagle.27              7.809e-01  0.78355 0.024778       0.026217
b.themeEagle.28              4.004e-01  0.79310 0.025080       0.025080
b.themeEagle.29             -3.380e-01  0.80015 0.025303       0.025303
b.themeEagle.3               3.115e-01  0.78274 0.024752       0.024752
b.themeEagle.30             -9.969e-01  0.82859 0.026202       0.022529
b.themeEagle.31              1.353e+00  0.80052 0.025315       0.025315
b.themeEagle.32             -1.600e-01  0.76396 0.024159       0.024159
b.themeEagle.33             -3.116e-01  0.79573 0.025163       0.023834
b.themeEagle.34             -1.883e+00  0.83310 0.026345       0.026345
b.themeEagle.35             -2.795e-01  0.82819 0.026190       0.030356
b.themeEagle.36             -1.889e+00  0.80521 0.025463       0.025463
b.themeEagle.37              1.089e+00  0.80429 0.025434       0.025434
b.themeEagle.38              1.911e+00  0.78961 0.024970       0.024970
b.themeEagle.39             -1.703e+00  0.76711 0.024258       0.022479
b.themeEagle.4              -7.103e-01  0.81952 0.025916       0.025916
b.themeEagle.40              3.722e-01  0.75088 0.023745       0.025236
b.themeEagle.41              1.652e-01  0.82653 0.026137       0.027735
b.themeEagle.42             -5.935e-01  0.78293 0.024759       0.024759
b.themeEagle.43             -2.397e-02  0.79393 0.025106       0.022477
b.themeEagle.44              1.328e+00  0.79158 0.025032       0.025032
b.themeEagle.45             -3.412e-01  0.78577 0.024848       0.024848
b.themeEagle.46             -1.643e-01  0.77887 0.024630       0.024630
b.themeEagle.47             -7.874e-01  0.80610 0.025491       0.025966
b.themeEagle.48              6.980e-01  0.79256 0.025063       0.025063
b.themeEagle.49             -3.794e-01  0.79681 0.025197       0.025197
b.themeEagle.5              -7.130e-01  0.81464 0.025761       0.021751
b.themeEagle.50              2.260e+00  0.79694 0.025201       0.022457
b.themeEagle.51              1.131e+00  0.82430 0.026067       0.026067
b.themeEagle.52              9.413e-01  0.79624 0.025179       0.021860
b.themeEagle.53              5.764e-01  0.80481 0.025450       0.025450
b.themeEagle.54              8.775e-01  0.80395 0.025423       0.024120
b.themeEagle.55              1.502e+00  0.84350 0.026674       0.026674
b.themeEagle.56             -8.088e-01  0.80369 0.025415       0.025415
b.themeEagle.57             -8.672e-02  0.76875 0.024310       0.021889
b.themeEagle.58             -6.327e-01  0.81064 0.025635       0.025635
b.themeEagle.59              1.497e+00  0.81631 0.025814       0.025814
b.themeEagle.6               1.450e+00  0.79995 0.025297       0.026562
b.themeEagle.60              3.598e-01  0.77979 0.024659       0.024659
b.themeEagle.61             -1.296e+00  0.82152 0.025979       0.027462
b.themeEagle.62             -5.974e-01  0.78189 0.024726       0.024726
b.themeEagle.63             -8.988e-01  0.81837 0.025879       0.025879
b.themeEagle.64             -1.831e-01  0.80126 0.025338       0.025338
b.themeEagle.65             -4.651e-02  0.83364 0.026362       0.026362
b.themeEagle.66              1.874e-01  0.81913 0.025903       0.025903
b.themeEagle.67             -7.621e-01  0.78763 0.024907       0.020766
b.themeEagle.68              1.338e+00  0.79291 0.025074       0.025074
b.themeEagle.69              1.622e+00  0.81488 0.025769       0.027319
b.themeEagle.7               9.396e-01  0.81695 0.025834       0.025834
b.themeEagle.70             -7.876e-01  0.81759 0.025854       0.025854
b.themeEagle.71             -4.853e-01  0.79010 0.024985       0.024985
b.themeEagle.72             -1.557e+00  0.80807 0.025553       0.023038
b.themeEagle.73             -3.213e-01  0.83881 0.026526       0.028290
b.themeEagle.74             -1.148e-01  0.81205 0.025679       0.024385
b.themeEagle.75              1.381e-01  0.80006 0.025300       0.023848
b.themeEagle.76              8.192e-01  0.81954 0.025916       0.025916
b.themeEagle.77             -4.008e-01  0.79501 0.025140       0.025140
b.themeEagle.78              9.992e-01  0.81434 0.025752       0.025752
b.themeEagle.79              4.581e-01  0.79971 0.025289       0.025289
b.themeEagle.8              -1.382e+00  0.80526 0.025464       0.026723
b.themeEagle.80              1.039e-01  0.76990 0.024346       0.024346
b.themeEagle.81             -1.293e+00  0.76463 0.024180       0.024180
b.themeEagle.82             -3.575e-01  0.78229 0.024738       0.024738
b.themeEagle.83             -6.904e-01  0.79365 0.025097       0.025097
b.themeEagle.84             -1.839e+00  0.84883 0.026842       0.029490
b.themeEagle.85             -4.072e-02  0.81903 0.025900       0.025900
b.themeEagle.86             -1.140e+00  0.79326 0.025085       0.025085
b.themeEagle.87             -3.557e-01  0.82422 0.026064       0.025900
b.themeEagle.88             -2.239e-01  0.80272 0.025384       0.024550
b.themeEagle.89              1.261e+00  0.78487 0.024820       0.024820
b.themeEagle.9               1.033e+00  0.80836 0.025563       0.025563
b.themeEagle.90              1.147e+00  0.81567 0.025794       0.030242
b.themeEagle.91              1.227e+00  0.79969 0.025288       0.025288
b.themeEagle.92              6.995e-01  0.83125 0.026287       0.026287
b.themeEagle.93             -8.767e-01  0.79213 0.025050       0.028510
b.themeEagle.94              8.909e-01  0.76238 0.024108       0.024108
b.themeEagle.95              6.239e-01  0.79447 0.025123       0.025834
b.themeEagle.96             -1.109e-01  0.78321 0.024767       0.023253
b.themeEagle.97             -3.117e-01  0.81075 0.025638       0.025638
b.themeEagle.98             -3.587e-01  0.79018 0.024988       0.024988
b.themeEagle.99             -8.539e-01  0.80611 0.025492       0.025492
VCV.(Intercept).(Intercept)  1.918e+00  0.25575 0.008087       0.008087
VCV.speed50.(Intercept)      1.574e-02  0.13732 0.004342       0.005244
VCV.speed60.(Intercept)     -8.678e-02  0.16415 0.005191       0.006596
VCV.speed70.(Intercept)      4.813e-02  0.18752 0.005930       0.007552
VCV.height300.(Intercept)   -1.888e-01  0.13456 0.004255       0.004255
VCV.height400.(Intercept)   -1.948e-01  0.17506 0.005536       0.006379
VCV.constWood.(Intercept)   -1.287e+00  0.23864 0.007547       0.007905
VCV.themeEagle.(Intercept)  -8.788e-01  0.21556 0.006817       0.006817
VCV.(Intercept).speed50      1.574e-02  0.13732 0.004342       0.005244
VCV.speed50.speed50          4.400e-01  0.09297 0.002940       0.003472
VCV.speed60.speed50          1.241e-01  0.08816 0.002788       0.003261
VCV.speed70.speed50          2.870e-02  0.08865 0.002803       0.003459
VCV.height300.speed50        4.394e-03  0.06850 0.002166       0.002542
VCV.height400.speed50        1.131e-02  0.09770 0.003090       0.003849
VCV.constWood.speed50       -1.485e-01  0.15835 0.005007       0.006295
VCV.themeEagle.speed50       2.149e-02  0.13908 0.004398       0.005562
VCV.(Intercept).speed60     -8.678e-02  0.16415 0.005191       0.006596
VCV.speed50.speed60          1.241e-01  0.08816 0.002788       0.003261
VCV.speed60.speed60          5.782e-01  0.13513 0.004273       0.004939
VCV.speed70.speed60          3.585e-02  0.10783 0.003410       0.004215
VCV.height300.speed60        3.917e-03  0.08168 0.002583       0.003066
VCV.height400.speed60        1.982e-02  0.11799 0.003731       0.004543
VCV.constWood.speed60       -1.126e-01  0.18851 0.005961       0.008016
VCV.themeEagle.speed60       8.250e-02  0.16157 0.005109       0.006560
VCV.(Intercept).speed70      4.813e-02  0.18752 0.005930       0.007552
VCV.speed50.speed70          2.870e-02  0.08865 0.002803       0.003459
VCV.speed60.speed70          3.585e-02  0.10783 0.003410       0.004215
VCV.speed70.speed70          6.386e-01  0.17515 0.005539       0.006578
VCV.height300.speed70       -2.017e-01  0.10543 0.003334       0.004173
VCV.height400.speed70       -8.203e-02  0.13818 0.004370       0.005513
VCV.constWood.speed70       -2.007e-02  0.20814 0.006582       0.008559
VCV.themeEagle.speed70      -1.816e-01  0.19833 0.006272       0.008404
VCV.(Intercept).height300   -1.888e-01  0.13456 0.004255       0.004255
VCV.speed50.height300        4.394e-03  0.06850 0.002166       0.002542
VCV.speed60.height300        3.917e-03  0.08168 0.002583       0.003066
VCV.speed70.height300       -2.017e-01  0.10543 0.003334       0.004173
VCV.height300.height300      4.683e-01  0.09804 0.003100       0.003539
VCV.height400.height300      1.783e-01  0.10586 0.003348       0.004275
VCV.constWood.height300      1.145e-02  0.14830 0.004690       0.004912
VCV.themeEagle.height300     9.285e-02  0.13360 0.004225       0.004839
VCV.(Intercept).height400   -1.948e-01  0.17506 0.005536       0.006379
VCV.speed50.height400        1.131e-02  0.09770 0.003090       0.003849
VCV.speed60.height400        1.982e-02  0.11799 0.003731       0.004543
VCV.speed70.height400       -8.203e-02  0.13818 0.004370       0.005513
VCV.height300.height400      1.783e-01  0.10586 0.003348       0.004275
VCV.height400.height400      8.683e-01  0.20527 0.006491       0.008323
VCV.constWood.height400     -3.437e-02  0.20748 0.006561       0.007082
VCV.themeEagle.height400     1.749e-01  0.17791 0.005626       0.007128
VCV.(Intercept).constWood   -1.287e+00  0.23864 0.007547       0.007905
VCV.speed50.constWood       -1.485e-01  0.15835 0.005007       0.006295
VCV.speed60.constWood       -1.126e-01  0.18851 0.005961       0.008016
VCV.speed70.constWood       -2.007e-02  0.20814 0.006582       0.008559
VCV.height300.constWood      1.145e-02  0.14830 0.004690       0.004912
VCV.height400.constWood     -3.437e-02  0.20748 0.006561       0.007082
VCV.constWood.constWood      2.346e+00  0.37490 0.011855       0.014056
VCV.themeEagle.constWood    -3.531e-01  0.26678 0.008436       0.010075
VCV.(Intercept).themeEagle  -8.788e-01  0.21556 0.006817       0.006817
VCV.speed50.themeEagle       2.149e-02  0.13908 0.004398       0.005562
VCV.speed60.themeEagle       8.250e-02  0.16157 0.005109       0.006560
VCV.speed70.themeEagle      -1.816e-01  0.19833 0.006272       0.008404
VCV.height300.themeEagle     9.285e-02  0.13360 0.004225       0.004839
VCV.height400.themeEagle     1.749e-01  0.17791 0.005626       0.007128
VCV.constWood.themeEagle    -3.531e-01  0.26678 0.008436       0.010075
VCV.themeEagle.themeEagle    1.734e+00  0.31390 0.009926       0.011246
sigma2                       2.256e+00  0.07096 0.002244       0.002244
Deviance                     1.168e+04 62.72723 1.983609       2.214615

2. Quantiles for each variable:

                                  2.5%        25%        50%        75%
beta.(Intercept)             2.739e+00  2.959e+00  3.076e+00  3.188e+00
beta.speed50                 5.421e-01  7.251e-01  8.114e-01  9.127e-01
beta.speed60                 1.260e+00  1.464e+00  1.573e+00  1.684e+00
beta.speed70                 4.121e+00  4.360e+00  4.483e+00  4.608e+00
beta.height300               2.711e+00  2.864e+00  2.950e+00  3.033e+00
beta.height400               1.090e+00  1.343e+00  1.459e+00  1.585e+00
beta.constWood              -5.219e-01 -2.464e-01 -1.105e-01  1.628e-02
beta.themeEagle             -1.100e+00 -8.745e-01 -7.571e-01 -6.328e-01
b.(Intercept).1             -2.457e+00 -1.617e+00 -1.158e+00 -7.225e-01
b.(Intercept).10            -2.192e+00 -1.319e+00 -8.569e-01 -3.741e-01
b.(Intercept).100           -6.038e-01  2.384e-01  7.091e-01  1.111e+00
b.(Intercept).101           -2.460e+00 -1.583e+00 -1.154e+00 -6.822e-01
b.(Intercept).102           -4.943e-01  3.927e-01  8.129e-01  1.278e+00
b.(Intercept).103           -1.060e+00 -1.894e-01  2.286e-01  7.053e-01
b.(Intercept).104            2.419e-01  1.036e+00  1.475e+00  1.957e+00
b.(Intercept).105           -5.493e-02  8.399e-01  1.277e+00  1.721e+00
b.(Intercept).106           -2.574e+00 -1.627e+00 -1.200e+00 -7.043e-01
b.(Intercept).107           -3.666e+00 -2.740e+00 -2.302e+00 -1.900e+00
b.(Intercept).108           -3.122e+00 -2.255e+00 -1.793e+00 -1.336e+00
b.(Intercept).109            8.643e-01  1.633e+00  2.089e+00  2.556e+00
b.(Intercept).11            -7.798e-01  2.614e-03  4.652e-01  8.980e-01
b.(Intercept).110           -2.707e+00 -1.872e+00 -1.465e+00 -1.012e+00
b.(Intercept).111           -1.032e+00 -2.007e-01  2.225e-01  6.221e-01
b.(Intercept).112           -1.673e+00 -8.602e-01 -4.421e-01  2.707e-02
b.(Intercept).113           -6.877e-02  7.850e-01  1.206e+00  1.692e+00
b.(Intercept).114           -1.535e+00 -6.672e-01 -2.092e-01  2.270e-01
b.(Intercept).115           -2.485e+00 -1.525e+00 -1.045e+00 -5.805e-01
b.(Intercept).116           -1.175e+00 -3.693e-01  1.101e-01  5.703e-01
b.(Intercept).117           -8.158e-01  2.147e-02  4.363e-01  8.898e-01
b.(Intercept).118            3.475e-01  1.099e+00  1.591e+00  2.040e+00
b.(Intercept).119           -6.378e-01  1.911e-01  6.282e-01  1.084e+00
b.(Intercept).12            -2.548e+00 -1.666e+00 -1.220e+00 -7.581e-01
b.(Intercept).120           -1.390e+00 -4.660e-01 -1.293e-02  4.326e-01
b.(Intercept).121           -4.006e-01  3.978e-01  8.699e-01  1.319e+00
b.(Intercept).122           -1.155e+00 -2.889e-01  1.308e-01  5.668e-01
b.(Intercept).123           -2.100e+00 -1.225e+00 -7.866e-01 -3.362e-01
b.(Intercept).124           -1.135e+00 -2.223e-01  2.234e-01  6.810e-01
b.(Intercept).125           -2.358e+00 -1.439e+00 -9.732e-01 -5.364e-01
b.(Intercept).126           -2.447e+00 -1.568e+00 -1.145e+00 -6.814e-01
b.(Intercept).127            9.555e-02  9.047e-01  1.342e+00  1.811e+00
b.(Intercept).128           -1.817e+00 -9.928e-01 -5.537e-01 -1.381e-01
b.(Intercept).129            2.353e-01  9.980e-01  1.494e+00  1.919e+00
b.(Intercept).13            -1.089e+00 -2.732e-01  1.959e-01  6.219e-01
b.(Intercept).130           -8.471e-02  7.194e-01  1.114e+00  1.569e+00
b.(Intercept).131           -1.640e+00 -8.370e-01 -4.058e-01  6.262e-02
b.(Intercept).132            5.923e-01  1.336e+00  1.780e+00  2.259e+00
b.(Intercept).133           -3.044e+00 -2.195e+00 -1.779e+00 -1.285e+00
b.(Intercept).134           -8.367e-02  8.601e-01  1.300e+00  1.726e+00
b.(Intercept).135            7.359e-02  9.818e-01  1.397e+00  1.850e+00
b.(Intercept).136           -1.528e-01  7.095e-01  1.161e+00  1.582e+00
b.(Intercept).137           -3.236e+00 -2.342e+00 -1.906e+00 -1.447e+00
b.(Intercept).138           -1.594e+00 -7.919e-01 -3.670e-01  7.958e-02
b.(Intercept).139           -5.033e-01  3.616e-01  7.774e-01  1.268e+00
b.(Intercept).14             1.857e+00  2.747e+00  3.198e+00  3.719e+00
b.(Intercept).140           -3.077e+00 -2.115e+00 -1.687e+00 -1.235e+00
b.(Intercept).141           -7.030e-01  9.430e-02  5.547e-01  9.924e-01
b.(Intercept).142           -2.522e+00 -1.698e+00 -1.293e+00 -8.726e-01
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b.themeEagle.63             -2.496e+00 -1.439e+00 -9.119e-01 -3.453e-01
b.themeEagle.64             -1.807e+00 -6.838e-01 -1.615e-01  3.276e-01
b.themeEagle.65             -1.689e+00 -6.163e-01 -5.095e-02  5.004e-01
b.themeEagle.66             -1.382e+00 -3.817e-01  2.081e-01  7.439e-01
b.themeEagle.67             -2.313e+00 -1.304e+00 -7.431e-01 -2.077e-01
b.themeEagle.68             -2.179e-01  7.640e-01  1.335e+00  1.925e+00
b.themeEagle.69              5.461e-02  1.070e+00  1.613e+00  2.183e+00
b.themeEagle.7              -7.483e-01  4.221e-01  9.750e-01  1.501e+00
b.themeEagle.70             -2.356e+00 -1.347e+00 -8.041e-01 -2.009e-01
b.themeEagle.71             -2.107e+00 -1.009e+00 -4.775e-01  2.359e-02
b.themeEagle.72             -3.228e+00 -2.106e+00 -1.528e+00 -1.026e+00
b.themeEagle.73             -1.967e+00 -9.206e-01 -3.306e-01  2.628e-01
b.themeEagle.74             -1.702e+00 -6.920e-01 -1.054e-01  4.415e-01
b.themeEagle.75             -1.342e+00 -4.256e-01  1.662e-01  6.764e-01
b.themeEagle.76             -8.371e-01  2.871e-01  7.998e-01  1.361e+00
b.themeEagle.77             -1.882e+00 -9.808e-01 -3.842e-01  1.311e-01
b.themeEagle.78             -6.155e-01  4.959e-01  1.026e+00  1.535e+00
b.themeEagle.79             -1.066e+00 -6.237e-02  4.342e-01  1.004e+00
b.themeEagle.8              -3.088e+00 -1.885e+00 -1.346e+00 -8.426e-01
b.themeEagle.80             -1.390e+00 -4.172e-01  7.454e-02  6.221e-01
b.themeEagle.81             -2.886e+00 -1.784e+00 -1.297e+00 -7.811e-01
b.themeEagle.82             -1.829e+00 -8.941e-01 -3.605e-01  1.473e-01
b.themeEagle.83             -2.245e+00 -1.221e+00 -7.002e-01 -1.683e-01
b.themeEagle.84             -3.455e+00 -2.440e+00 -1.849e+00 -1.261e+00
b.themeEagle.85             -1.529e+00 -6.110e-01 -7.237e-02  5.017e-01
b.themeEagle.86             -2.797e+00 -1.624e+00 -1.135e+00 -6.103e-01
b.themeEagle.87             -1.910e+00 -9.491e-01 -3.299e-01  2.025e-01
b.themeEagle.88             -1.850e+00 -7.431e-01 -2.608e-01  3.004e-01
b.themeEagle.89             -3.306e-01  7.428e-01  1.271e+00  1.754e+00
b.themeEagle.9              -4.553e-01  5.026e-01  9.703e-01  1.596e+00
b.themeEagle.90             -4.434e-01  6.092e-01  1.155e+00  1.673e+00
b.themeEagle.91             -3.440e-01  6.848e-01  1.243e+00  1.752e+00
b.themeEagle.92             -8.305e-01  1.225e-01  7.015e-01  1.269e+00
b.themeEagle.93             -2.420e+00 -1.417e+00 -8.801e-01 -3.389e-01
b.themeEagle.94             -6.095e-01  3.845e-01  8.959e-01  1.391e+00
b.themeEagle.95             -8.470e-01  3.936e-02  6.056e-01  1.164e+00
b.themeEagle.96             -1.642e+00 -6.531e-01 -1.241e-01  3.863e-01
b.themeEagle.97             -1.880e+00 -8.470e-01 -2.864e-01  2.419e-01
b.themeEagle.98             -1.875e+00 -9.013e-01 -3.536e-01  1.881e-01
b.themeEagle.99             -2.422e+00 -1.426e+00 -8.305e-01 -2.965e-01
VCV.(Intercept).(Intercept)  1.458e+00  1.733e+00  1.900e+00  2.079e+00
VCV.speed50.(Intercept)     -2.617e-01 -6.910e-02  1.967e-02  1.109e-01
VCV.speed60.(Intercept)     -4.138e-01 -1.943e-01 -7.805e-02  2.682e-02
VCV.speed70.(Intercept)     -3.183e-01 -7.147e-02  4.643e-02  1.694e-01
VCV.height300.(Intercept)   -4.629e-01 -2.804e-01 -1.821e-01 -9.809e-02
VCV.height400.(Intercept)   -5.298e-01 -3.104e-01 -1.939e-01 -8.270e-02
VCV.constWood.(Intercept)   -1.791e+00 -1.434e+00 -1.278e+00 -1.114e+00
VCV.themeEagle.(Intercept)  -1.338e+00 -1.016e+00 -8.610e-01 -7.324e-01
VCV.(Intercept).speed50     -2.617e-01 -6.910e-02  1.967e-02  1.109e-01
VCV.speed50.speed50          2.855e-01  3.739e-01  4.296e-01  4.957e-01
VCV.speed60.speed50         -3.334e-02  6.266e-02  1.198e-01  1.792e-01
VCV.speed70.speed50         -1.381e-01 -3.153e-02  2.646e-02  8.748e-02
VCV.height300.speed50       -1.257e-01 -4.056e-02  7.297e-03  4.819e-02
VCV.height400.speed50       -1.844e-01 -5.260e-02  1.529e-02  7.580e-02
VCV.constWood.speed50       -4.826e-01 -2.489e-01 -1.416e-01 -4.629e-02
VCV.themeEagle.speed50      -2.496e-01 -7.480e-02  1.944e-02  1.097e-01
VCV.(Intercept).speed60     -4.138e-01 -1.943e-01 -7.805e-02  2.682e-02
VCV.speed50.speed60         -3.334e-02  6.266e-02  1.198e-01  1.792e-01
VCV.speed60.speed60          3.559e-01  4.797e-01  5.664e-01  6.607e-01
VCV.speed70.speed60         -1.629e-01 -3.832e-02  2.877e-02  1.030e-01
VCV.height300.speed60       -1.657e-01 -5.092e-02  5.822e-03  6.386e-02
VCV.height400.speed60       -2.208e-01 -5.460e-02  2.260e-02  1.007e-01
VCV.constWood.speed60       -5.090e-01 -2.308e-01 -1.111e-01  1.884e-02
VCV.themeEagle.speed60      -2.199e-01 -2.044e-02  8.249e-02  1.834e-01
VCV.(Intercept).speed70     -3.183e-01 -7.147e-02  4.643e-02  1.694e-01
VCV.speed50.speed70         -1.381e-01 -3.153e-02  2.646e-02  8.748e-02
VCV.speed60.speed70         -1.629e-01 -3.832e-02  2.877e-02  1.030e-01
VCV.speed70.speed70          3.713e-01  5.154e-01  6.191e-01  7.354e-01
VCV.height300.speed70       -4.352e-01 -2.607e-01 -1.894e-01 -1.309e-01
VCV.height400.speed70       -3.646e-01 -1.633e-01 -7.761e-02  4.397e-03
VCV.constWood.speed70       -4.353e-01 -1.553e-01 -1.506e-02  1.189e-01
VCV.themeEagle.speed70      -5.720e-01 -3.164e-01 -1.713e-01 -4.163e-02
VCV.(Intercept).height300   -4.629e-01 -2.804e-01 -1.821e-01 -9.809e-02
VCV.speed50.height300       -1.257e-01 -4.056e-02  7.297e-03  4.819e-02
VCV.speed60.height300       -1.657e-01 -5.092e-02  5.822e-03  6.386e-02
VCV.speed70.height300       -4.352e-01 -2.607e-01 -1.894e-01 -1.309e-01
VCV.height300.height300      2.988e-01  3.994e-01  4.563e-01  5.267e-01
VCV.height400.height300     -7.007e-03  1.041e-01  1.757e-01  2.458e-01
VCV.constWood.height300     -2.843e-01 -9.004e-02  1.353e-02  1.158e-01
VCV.themeEagle.height300    -1.476e-01  4.318e-03  8.578e-02  1.787e-01
VCV.(Intercept).height400   -5.298e-01 -3.104e-01 -1.939e-01 -8.270e-02
VCV.speed50.height400       -1.844e-01 -5.260e-02  1.529e-02  7.580e-02
VCV.speed60.height400       -2.208e-01 -5.460e-02  2.260e-02  1.007e-01
VCV.speed70.height400       -3.646e-01 -1.633e-01 -7.761e-02  4.397e-03
VCV.height300.height400     -7.007e-03  1.041e-01  1.757e-01  2.458e-01
VCV.height400.height400      5.260e-01  7.204e-01  8.439e-01  9.939e-01
VCV.constWood.height400     -4.285e-01 -1.842e-01 -4.243e-02  1.108e-01
VCV.themeEagle.height400    -1.892e-01  6.699e-02  1.797e-01  2.936e-01
VCV.(Intercept).constWood   -1.791e+00 -1.434e+00 -1.278e+00 -1.114e+00
VCV.speed50.constWood       -4.826e-01 -2.489e-01 -1.416e-01 -4.629e-02
VCV.speed60.constWood       -5.090e-01 -2.308e-01 -1.111e-01  1.884e-02
VCV.speed70.constWood       -4.353e-01 -1.553e-01 -1.506e-02  1.189e-01
VCV.height300.constWood     -2.843e-01 -9.004e-02  1.353e-02  1.158e-01
VCV.height400.constWood     -4.285e-01 -1.842e-01 -4.243e-02  1.108e-01
VCV.constWood.constWood      1.703e+00  2.076e+00  2.315e+00  2.573e+00
VCV.themeEagle.constWood    -8.956e-01 -5.329e-01 -3.381e-01 -1.608e-01
VCV.(Intercept).themeEagle  -1.338e+00 -1.016e+00 -8.610e-01 -7.324e-01
VCV.speed50.themeEagle      -2.496e-01 -7.480e-02  1.944e-02  1.097e-01
VCV.speed60.themeEagle      -2.199e-01 -2.044e-02  8.249e-02  1.834e-01
VCV.speed70.themeEagle      -5.720e-01 -3.164e-01 -1.713e-01 -4.163e-02
VCV.height300.themeEagle    -1.476e-01  4.318e-03  8.578e-02  1.787e-01
VCV.height400.themeEagle    -1.892e-01  6.699e-02  1.797e-01  2.936e-01
VCV.constWood.themeEagle    -8.956e-01 -5.329e-01 -3.381e-01 -1.608e-01
VCV.themeEagle.themeEagle    1.202e+00  1.503e+00  1.723e+00  1.943e+00
sigma2                       2.117e+00  2.207e+00  2.256e+00  2.303e+00
Deviance                     1.157e+04  1.164e+04  1.168e+04  1.173e+04
                                 97.5%
beta.(Intercept)             3.410e+00
beta.speed50                 1.080e+00
beta.speed60                 1.880e+00
beta.speed70                 4.860e+00
beta.height300               3.178e+00
beta.height400               1.802e+00
beta.constWood               2.698e-01
beta.themeEagle             -3.609e-01
b.(Intercept).1              1.338e-01
b.(Intercept).10             4.127e-01
b.(Intercept).100            1.913e+00
b.(Intercept).101            1.806e-01
b.(Intercept).102            2.183e+00
b.(Intercept).103            1.615e+00
b.(Intercept).104            2.832e+00
b.(Intercept).105            2.599e+00
b.(Intercept).106            1.062e-01
b.(Intercept).107           -1.039e+00
b.(Intercept).108           -4.780e-01
b.(Intercept).109            3.450e+00
b.(Intercept).11             1.780e+00
b.(Intercept).110           -2.054e-01
b.(Intercept).111            1.469e+00
b.(Intercept).112            9.710e-01
b.(Intercept).113            2.509e+00
b.(Intercept).114            9.951e-01
b.(Intercept).115            2.020e-01
b.(Intercept).116            1.369e+00
b.(Intercept).117            1.770e+00
b.(Intercept).118            2.883e+00
b.(Intercept).119            1.879e+00
b.(Intercept).12             1.351e-01
b.(Intercept).120            1.317e+00
b.(Intercept).121            2.128e+00
b.(Intercept).122            1.419e+00
b.(Intercept).123            5.511e-01
b.(Intercept).124            1.540e+00
b.(Intercept).125            2.657e-01
b.(Intercept).126            1.768e-01
b.(Intercept).127            2.690e+00
b.(Intercept).128            6.633e-01
b.(Intercept).129            2.794e+00
b.(Intercept).13             1.502e+00
b.(Intercept).130            2.389e+00
b.(Intercept).131            9.562e-01
b.(Intercept).132            3.137e+00
b.(Intercept).133           -4.030e-01
b.(Intercept).134            2.510e+00
b.(Intercept).135            2.687e+00
b.(Intercept).136            2.341e+00
b.(Intercept).137           -6.522e-01
b.(Intercept).138            9.052e-01
b.(Intercept).139            2.102e+00
b.(Intercept).14             4.591e+00
b.(Intercept).140           -4.193e-01
b.(Intercept).141            1.748e+00
b.(Intercept).142           -8.354e-02
b.(Intercept).143            1.549e+00
b.(Intercept).144            4.042e+00
b.(Intercept).145            3.865e-02
b.(Intercept).146            9.785e-01
b.(Intercept).147           -5.835e-01
b.(Intercept).148            8.442e-01
b.(Intercept).149           -6.198e-01
b.(Intercept).15             2.879e+00
b.(Intercept).150           -4.461e-02
b.(Intercept).151            1.268e+00
b.(Intercept).152            6.248e-01
b.(Intercept).153            2.112e+00
b.(Intercept).154            4.954e-02
b.(Intercept).155            4.813e-01
b.(Intercept).156            3.712e+00
b.(Intercept).157            2.065e+00
b.(Intercept).158            1.732e-02
b.(Intercept).159            7.235e-01
b.(Intercept).16             4.652e-01
b.(Intercept).160            1.746e-02
b.(Intercept).161           -2.236e-01
b.(Intercept).162            1.417e+00
b.(Intercept).163            9.473e-01
b.(Intercept).164            3.324e+00
b.(Intercept).165            8.282e-01
b.(Intercept).166            4.427e-02
b.(Intercept).167            8.576e-01
b.(Intercept).168            7.813e-01
b.(Intercept).169            6.031e-01
b.(Intercept).17             3.573e+00
b.(Intercept).170            3.090e+00
b.(Intercept).171            1.671e+00
b.(Intercept).172            1.293e+00
b.(Intercept).173            3.662e-01
b.(Intercept).174            5.039e-01
b.(Intercept).175            1.087e+00
b.(Intercept).176           -5.731e-01
b.(Intercept).177            1.243e+00
b.(Intercept).178            9.681e-01
b.(Intercept).179           -3.647e-01
b.(Intercept).18             1.763e+00
b.(Intercept).180            1.396e+00
b.(Intercept).181            7.913e-01
b.(Intercept).182            1.995e+00
b.(Intercept).183           -3.384e-02
b.(Intercept).184            4.681e+00
b.(Intercept).185            3.958e+00
b.(Intercept).186            3.319e+00
b.(Intercept).187            1.886e-01
b.(Intercept).188            2.799e+00
b.(Intercept).189            3.033e+00
b.(Intercept).19             2.515e+00
b.(Intercept).190           -1.137e-01
b.(Intercept).191            2.302e+00
b.(Intercept).192            2.440e-01
b.(Intercept).193           -9.759e-02
b.(Intercept).194            1.620e+00
b.(Intercept).195            3.308e+00
b.(Intercept).196            2.484e-01
b.(Intercept).197            3.041e+00
b.(Intercept).198            1.304e+00
b.(Intercept).199            3.486e+00
b.(Intercept).2              4.995e-01
b.(Intercept).20             7.106e-01
b.(Intercept).200            6.775e-01
b.(Intercept).21             3.045e-01
b.(Intercept).22             1.864e+00
b.(Intercept).23             1.904e+00
b.(Intercept).24             2.348e+00
b.(Intercept).25            -2.300e-01
b.(Intercept).26             1.179e+00
b.(Intercept).27            -3.525e-02
b.(Intercept).28             1.869e+00
b.(Intercept).29             2.191e+00
b.(Intercept).3              1.570e-01
b.(Intercept).30             1.554e+00
b.(Intercept).31            -7.385e-02
b.(Intercept).32             1.109e+00
b.(Intercept).33             1.794e+00
b.(Intercept).34             2.075e+00
b.(Intercept).35             2.069e+00
b.(Intercept).36             2.996e+00
b.(Intercept).37             1.587e+00
b.(Intercept).38             3.955e-01
b.(Intercept).39             3.515e+00
b.(Intercept).4              2.230e+00
b.(Intercept).40             7.887e-02
b.(Intercept).41             2.612e+00
b.(Intercept).42             8.761e-01
b.(Intercept).43             1.839e+00
b.(Intercept).44             1.232e+00
b.(Intercept).45             1.354e+00
b.(Intercept).46             7.878e-01
b.(Intercept).47             3.097e+00
b.(Intercept).48             2.386e+00
b.(Intercept).49            -9.637e-02
b.(Intercept).5              4.455e-01
b.(Intercept).50            -1.428e+00
b.(Intercept).51             1.005e+00
b.(Intercept).52            -1.770e-01
b.(Intercept).53             1.997e+00
b.(Intercept).54             1.757e-02
b.(Intercept).55             1.485e+00
b.(Intercept).56             4.478e-01
b.(Intercept).57             2.903e+00
b.(Intercept).58             1.002e+00
b.(Intercept).59             4.011e-01
b.(Intercept).6              9.386e-01
b.(Intercept).60             5.105e-01
b.(Intercept).61             1.489e+00
b.(Intercept).62             2.768e+00
b.(Intercept).63             2.560e+00
b.(Intercept).64             3.451e+00
b.(Intercept).65             5.199e-02
b.(Intercept).66             1.633e+00
b.(Intercept).67             1.129e+00
b.(Intercept).68             1.146e+00
b.(Intercept).69            -2.598e-01
b.(Intercept).7              2.184e+00
b.(Intercept).70             1.835e+00
b.(Intercept).71             3.204e+00
b.(Intercept).72             2.889e+00
b.(Intercept).73            -3.566e-01
b.(Intercept).74             8.629e-01
b.(Intercept).75             9.931e-01
b.(Intercept).76             2.107e-01
b.(Intercept).77             6.610e-01
b.(Intercept).78             1.029e+00
b.(Intercept).79            -2.122e-01
b.(Intercept).8              2.548e-01
b.(Intercept).80             2.139e+00
b.(Intercept).81             3.629e+00
b.(Intercept).82             8.603e-01
b.(Intercept).83             1.098e+00
b.(Intercept).84             1.602e+00
b.(Intercept).85             9.351e-01
b.(Intercept).86             9.761e-01
b.(Intercept).87             5.683e-01
b.(Intercept).88             4.134e-01
b.(Intercept).89             1.990e-01
b.(Intercept).9              1.962e-01
b.(Intercept).90            -5.543e-01
b.(Intercept).91            -5.352e-02
b.(Intercept).92             1.625e+00
b.(Intercept).93             3.509e+00
b.(Intercept).94             1.098e+00
b.(Intercept).95             7.673e-01
b.(Intercept).96             1.020e+00
b.(Intercept).97             1.410e-01
b.(Intercept).98             1.610e+00
b.(Intercept).99             2.350e+00
b.speed50.1                  8.664e-01
b.speed50.10                 1.019e+00
b.speed50.100                9.372e-01
b.speed50.101                1.030e+00
b.speed50.102                8.571e-01
b.speed50.103                9.699e-01
b.speed50.104                8.015e-01
b.speed50.105                1.593e+00
b.speed50.106                5.980e-01
b.speed50.107                4.851e-01
b.speed50.108                8.927e-01
b.speed50.109                1.433e+00
b.speed50.11                 1.595e-01
b.speed50.110                7.900e-01
b.speed50.111                1.898e+00
b.speed50.112                1.011e+00
b.speed50.113                1.312e+00
b.speed50.114                1.023e+00
b.speed50.115                1.107e+00
b.speed50.116                1.091e+00
b.speed50.117                5.962e-01
b.speed50.118                8.919e-01
b.speed50.119                1.356e+00
b.speed50.12                 9.167e-01
b.speed50.120                1.491e+00
b.speed50.121                9.736e-01
b.speed50.122                1.263e+00
b.speed50.123                8.518e-01
b.speed50.124                1.356e+00
b.speed50.125                1.227e+00
b.speed50.126                1.175e+00
b.speed50.127                3.169e-01
b.speed50.128                9.077e-01
b.speed50.129                1.009e+00
b.speed50.13                 1.149e+00
b.speed50.130                1.045e+00
b.speed50.131                9.647e-01
b.speed50.132                1.074e+00
b.speed50.133                1.064e+00
b.speed50.134                1.278e+00
b.speed50.135                9.402e-01
b.speed50.136                1.396e+00
b.speed50.137                1.050e+00
b.speed50.138                1.591e+00
b.speed50.139                1.045e+00
b.speed50.14                 1.353e+00
b.speed50.140                6.881e-01
b.speed50.141                7.224e-01
b.speed50.142                9.751e-01
b.speed50.143                1.304e+00
b.speed50.144                5.984e-01
b.speed50.145                9.375e-01
b.speed50.146                1.073e+00
b.speed50.147                1.049e+00
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b.constWood.39               1.155e-01
b.constWood.4                8.358e-01
b.constWood.40               2.312e+00
b.constWood.41              -1.202e+00
b.constWood.42               2.788e+00
b.constWood.43               9.118e-01
b.constWood.44               4.515e-01
b.constWood.45               9.602e-01
b.constWood.46               1.760e+00
b.constWood.47               2.832e-01
b.constWood.48               4.564e-01
b.constWood.49               3.850e+00
b.constWood.5                3.087e+00
b.constWood.50               2.419e+00
b.constWood.51               3.427e-01
b.constWood.52               3.318e+00
b.constWood.53               6.138e-02
b.constWood.54               2.776e+00
b.constWood.55               1.589e+00
b.constWood.56               3.257e+00
b.constWood.57               1.416e-01
b.constWood.58               1.954e+00
b.constWood.59               1.705e+00
b.constWood.6                8.987e-01
b.constWood.60               1.698e+00
b.constWood.61               3.288e+00
b.constWood.62              -3.150e-01
b.constWood.63               7.774e-01
b.constWood.64              -2.671e-01
b.constWood.65               3.056e+00
b.constWood.66               1.061e+00
b.constWood.67               2.096e+00
b.constWood.68              -3.065e-01
b.constWood.69               2.669e+00
b.constWood.7                2.264e-02
b.constWood.70               1.184e+00
b.constWood.71              -8.012e-01
b.constWood.72               5.561e-01
b.constWood.73               3.573e+00
b.constWood.74               1.538e+00
b.constWood.75               2.691e+00
b.constWood.76               1.864e+00
b.constWood.77               2.497e+00
b.constWood.78               8.844e-01
b.constWood.79               3.036e+00
b.constWood.8                3.425e+00
b.constWood.80               4.033e-02
b.constWood.81               1.042e-01
b.constWood.82               3.362e+00
b.constWood.83               1.582e+00
b.constWood.84               2.088e+00
b.constWood.85               1.630e+00
b.constWood.86               1.997e+00
b.constWood.87               3.105e+00
b.constWood.88               3.071e+00
b.constWood.89               1.668e+00
b.constWood.9                2.793e+00
b.constWood.90               2.535e+00
b.constWood.91               1.746e+00
b.constWood.92               5.070e-01
b.constWood.93               2.611e-01
b.constWood.94               9.905e-01
b.constWood.95               1.553e+00
b.constWood.96               2.235e+00
b.constWood.97               3.502e+00
b.constWood.98               9.576e-01
b.constWood.99               8.197e-01
b.themeEagle.1               2.019e+00
b.themeEagle.10              1.496e+00
b.themeEagle.100             1.264e+00
b.themeEagle.101             2.793e+00
b.themeEagle.102             1.975e+00
b.themeEagle.103             1.545e+00
b.themeEagle.104             1.772e+00
b.themeEagle.105             2.124e+00
b.themeEagle.106             1.583e+00
b.themeEagle.107             2.542e+00
b.themeEagle.108             4.233e+00
b.themeEagle.109             9.832e-01
b.themeEagle.11              8.873e-01
b.themeEagle.110             1.616e+00
b.themeEagle.111             1.731e+00
b.themeEagle.112             2.573e+00
b.themeEagle.113             1.154e+00
b.themeEagle.114             1.178e+00
b.themeEagle.115             2.881e+00
b.themeEagle.116             5.339e-02
b.themeEagle.117             2.224e+00
b.themeEagle.118             2.009e+00
b.themeEagle.119             1.969e+00
b.themeEagle.12              1.371e+00
b.themeEagle.120             1.546e+00
b.themeEagle.121             7.440e-01
b.themeEagle.122             1.044e+00
b.themeEagle.123             2.210e+00
b.themeEagle.124             1.455e+00
b.themeEagle.125             2.611e+00
b.themeEagle.126             2.682e+00
b.themeEagle.127             1.146e+00
b.themeEagle.128             5.578e-01
b.themeEagle.129            -6.106e-01
b.themeEagle.13              2.097e+00
b.themeEagle.130             1.677e+00
b.themeEagle.131             4.431e-01
b.themeEagle.132            -9.361e-01
b.themeEagle.133             1.954e+00
b.themeEagle.134            -1.925e-01
b.themeEagle.135             4.612e-02
b.themeEagle.136             4.950e-01
b.themeEagle.137             1.674e+00
b.themeEagle.138             3.202e+00
b.themeEagle.139             6.601e-01
b.themeEagle.14             -1.829e-01
b.themeEagle.140             2.364e+00
b.themeEagle.141             1.542e+00
b.themeEagle.142             1.366e+00
b.themeEagle.143             2.305e-01
b.themeEagle.144             1.807e-01
b.themeEagle.145             5.678e-01
b.themeEagle.146             2.407e+00
b.themeEagle.147             3.518e+00
b.themeEagle.148             2.611e+00
b.themeEagle.149             3.555e+00
b.themeEagle.15             -1.855e-01
b.themeEagle.150             2.101e+00
b.themeEagle.151             2.367e+00
b.themeEagle.152             2.360e+00
b.themeEagle.153             1.077e+00
b.themeEagle.154             1.576e+00
b.themeEagle.155             2.151e+00
b.themeEagle.156             1.256e+00
b.themeEagle.157             2.463e+00
b.themeEagle.158             2.416e+00
b.themeEagle.159             1.295e+00
b.themeEagle.16              2.053e+00
b.themeEagle.160             2.334e+00
b.themeEagle.161             2.751e+00
b.themeEagle.162             1.714e+00
b.themeEagle.163             3.677e+00
b.themeEagle.164            -2.358e-01
b.themeEagle.165             2.959e+00
b.themeEagle.166             2.100e+00
b.themeEagle.167             1.736e+00
b.themeEagle.168             1.527e+00
b.themeEagle.169             1.712e+00
b.themeEagle.17              1.616e+00
b.themeEagle.170            -3.719e-01
b.themeEagle.171             1.597e+00
b.themeEagle.172             2.920e+00
b.themeEagle.173             1.049e+00
b.themeEagle.174             1.415e+00
b.themeEagle.175             1.516e+00
b.themeEagle.176             2.676e+00
b.themeEagle.177            -1.344e-01
b.themeEagle.178             2.460e+00
b.themeEagle.179             1.816e+00
b.themeEagle.18              1.307e+00
b.themeEagle.180             1.337e+00
b.themeEagle.181             2.889e+00
b.themeEagle.182             3.595e-02
b.themeEagle.183             2.796e+00
b.themeEagle.184             4.662e-01
b.themeEagle.185            -5.025e-01
b.themeEagle.186            -8.050e-01
b.themeEagle.187             1.949e+00
b.themeEagle.188             4.206e-01
b.themeEagle.189            -2.043e-02
b.themeEagle.19              7.330e-01
b.themeEagle.190             1.798e+00
b.themeEagle.191             2.521e-01
b.themeEagle.192             1.912e+00
b.themeEagle.193             2.354e+00
b.themeEagle.194             2.424e+00
b.themeEagle.195             1.500e+00
b.themeEagle.196             1.661e-01
b.themeEagle.197            -3.547e-02
b.themeEagle.198             2.694e+00
b.themeEagle.199            -7.841e-01
b.themeEagle.2               9.843e-01
b.themeEagle.20              4.138e+00
b.themeEagle.200             2.006e+00
b.themeEagle.21              2.090e+00
b.themeEagle.22              2.121e+00
b.themeEagle.23              1.357e+00
b.themeEagle.24              2.599e+00
b.themeEagle.25              1.950e+00
b.themeEagle.26              1.378e+00
b.themeEagle.27              2.330e+00
b.themeEagle.28              1.910e+00
b.themeEagle.29              1.146e+00
b.themeEagle.3               1.835e+00
b.themeEagle.30              5.965e-01
b.themeEagle.31              2.886e+00
b.themeEagle.32              1.328e+00
b.themeEagle.33              1.228e+00
b.themeEagle.34             -2.798e-01
b.themeEagle.35              1.310e+00
b.themeEagle.36             -3.685e-01
b.themeEagle.37              2.668e+00
b.themeEagle.38              3.455e+00
b.themeEagle.39             -1.738e-01
b.themeEagle.4               8.259e-01
b.themeEagle.40              1.802e+00
b.themeEagle.41              1.746e+00
b.themeEagle.42              9.621e-01
b.themeEagle.43              1.525e+00
b.themeEagle.44              2.869e+00
b.themeEagle.45              1.280e+00
b.themeEagle.46              1.301e+00
b.themeEagle.47              7.512e-01
b.themeEagle.48              2.149e+00
b.themeEagle.49              1.105e+00
b.themeEagle.5               9.189e-01
b.themeEagle.50              3.831e+00
b.themeEagle.51              2.754e+00
b.themeEagle.52              2.484e+00
b.themeEagle.53              2.137e+00
b.themeEagle.54              2.457e+00
b.themeEagle.55              3.085e+00
b.themeEagle.56              7.331e-01
b.themeEagle.57              1.481e+00
b.themeEagle.58              9.595e-01
b.themeEagle.59              3.026e+00
b.themeEagle.6               3.065e+00
b.themeEagle.60              1.821e+00
b.themeEagle.61              4.125e-01
b.themeEagle.62              8.405e-01
b.themeEagle.63              6.822e-01
b.themeEagle.64              1.442e+00
b.themeEagle.65              1.647e+00
b.themeEagle.66              1.758e+00
b.themeEagle.67              7.493e-01
b.themeEagle.68              2.820e+00
b.themeEagle.69              3.176e+00
b.themeEagle.7               2.504e+00
b.themeEagle.70              7.279e-01
b.themeEagle.71              1.063e+00
b.themeEagle.72              5.249e-02
b.themeEagle.73              1.361e+00
b.themeEagle.74              1.462e+00
b.themeEagle.75              1.722e+00
b.themeEagle.76              2.480e+00
b.themeEagle.77              1.145e+00
b.themeEagle.78              2.535e+00
b.themeEagle.79              2.056e+00
b.themeEagle.8               1.324e-01
b.themeEagle.80              1.583e+00
b.themeEagle.81              1.567e-01
b.themeEagle.82              1.234e+00
b.themeEagle.83              8.718e-01
b.themeEagle.84             -1.026e-01
b.themeEagle.85              1.570e+00
b.themeEagle.86              3.347e-01
b.themeEagle.87              1.217e+00
b.themeEagle.88              1.351e+00
b.themeEagle.89              2.821e+00
b.themeEagle.9               2.622e+00
b.themeEagle.90              2.796e+00
b.themeEagle.91              2.835e+00
b.themeEagle.92              2.362e+00
b.themeEagle.93              6.710e-01
b.themeEagle.94              2.389e+00
b.themeEagle.95              2.178e+00
b.themeEagle.96              1.460e+00
b.themeEagle.97              1.247e+00
b.themeEagle.98              1.292e+00
b.themeEagle.99              7.075e-01
VCV.(Intercept).(Intercept)  2.473e+00
VCV.speed50.(Intercept)      2.681e-01
VCV.speed60.(Intercept)      2.232e-01
VCV.speed70.(Intercept)      4.252e-01
VCV.height300.(Intercept)    6.804e-02
VCV.height400.(Intercept)    1.418e-01
VCV.constWood.(Intercept)   -8.893e-01
VCV.themeEagle.(Intercept)  -4.795e-01
VCV.(Intercept).speed50      2.681e-01
VCV.speed50.speed50          6.457e-01
VCV.speed60.speed50          3.119e-01
VCV.speed70.speed50          2.117e-01
VCV.height300.speed50        1.480e-01
VCV.height400.speed50        1.903e-01
VCV.constWood.speed50        1.467e-01
VCV.themeEagle.speed50       3.062e-01
VCV.(Intercept).speed60      2.232e-01
VCV.speed50.speed60          3.119e-01
VCV.speed60.speed60          8.711e-01
VCV.speed70.speed60          2.754e-01
VCV.height300.speed60        1.507e-01
VCV.height400.speed60        2.514e-01
VCV.constWood.speed60        2.543e-01
VCV.themeEagle.speed60       4.065e-01
VCV.(Intercept).speed70      4.252e-01
VCV.speed50.speed70          2.117e-01
VCV.speed60.speed70          2.754e-01
VCV.speed70.speed70          1.026e+00
VCV.height300.speed70       -3.648e-02
VCV.height400.speed70        2.143e-01
VCV.constWood.speed70        3.739e-01
VCV.themeEagle.speed70       1.879e-01
VCV.(Intercept).height300    6.804e-02
VCV.speed50.height300        1.480e-01
VCV.speed60.height300        1.507e-01
VCV.speed70.height300       -3.648e-02
VCV.height300.height300      6.829e-01
VCV.height400.height300      4.065e-01
VCV.constWood.height300      2.970e-01
VCV.themeEagle.height300     3.528e-01
VCV.(Intercept).height400    1.418e-01
VCV.speed50.height400        1.903e-01
VCV.speed60.height400        2.514e-01
VCV.speed70.height400        2.143e-01
VCV.height300.height400      4.065e-01
VCV.height400.height400      1.341e+00
VCV.constWood.height400      3.867e-01
VCV.themeEagle.height400     5.325e-01
VCV.(Intercept).constWood   -8.893e-01
VCV.speed50.constWood        1.467e-01
VCV.speed60.constWood        2.543e-01
VCV.speed70.constWood        3.739e-01
VCV.height300.constWood      2.970e-01
VCV.height400.constWood      3.867e-01
VCV.constWood.constWood      3.183e+00
VCV.themeEagle.constWood     1.303e-01
VCV.(Intercept).themeEagle  -4.795e-01
VCV.speed50.themeEagle       3.062e-01
VCV.speed60.themeEagle       4.065e-01
VCV.speed70.themeEagle       1.879e-01
VCV.height300.themeEagle     3.528e-01
VCV.height400.themeEagle     5.325e-01
VCV.constWood.themeEagle     1.303e-01
VCV.themeEagle.themeEagle    2.373e+00
sigma2                       2.399e+00
Deviance                     1.181e+04

Hierarchical model parameter estimates: customer 196

summary(m3$mcmc[ ,grepl(".196", colnames(m3$mcmc), fixed=TRUE)])

Iterations = 1001:10991
Thinning interval = 10 
Number of chains = 1 
Sample size per chain = 1000 

1. Empirical mean and standard deviation for each variable,
   plus standard error of the mean:

                      Mean     SD Naive SE Time-series SE
b.(Intercept).196 -1.03806 0.6780  0.02144        0.02144
b.speed50.196      0.44049 0.5434  0.01718        0.01718
b.speed60.196      0.10442 0.6335  0.02003        0.02003
b.speed70.196      0.03807 0.7167  0.02266        0.02357
b.height300.196   -0.35414 0.5441  0.01721        0.01797
b.height400.196   -0.55132 0.7357  0.02327        0.02327
b.constWood.196    2.57915 0.8370  0.02647        0.02647
b.themeEagle.196  -1.41955 0.8220  0.02599        0.02599

2. Quantiles for each variable:

                    2.5%     25%      50%       75%  97.5%
b.(Intercept).196 -2.358 -1.5051 -1.04955 -0.560096 0.2484
b.speed50.196     -0.617  0.0772  0.43020  0.785476 1.5038
b.speed60.196     -1.116 -0.3015  0.09268  0.520582 1.3024
b.speed70.196     -1.330 -0.4398  0.02173  0.535568 1.4501
b.height300.196   -1.397 -0.7228 -0.35641  0.009468 0.7580
b.height400.196   -1.994 -1.0493 -0.57508 -0.044254 0.8956
b.constWood.196    1.072  1.9835  2.53838  3.141001 4.2232
b.themeEagle.196  -3.033 -1.9355 -1.44426 -0.881212 0.1661