Nullmodell (2-Level)

Modellübersicht

##  Family: student 
##   Links: mu = identity; sigma = identity; nu = identity 
## Formula: trust ~ 1 + (1 | nuts2) 
##    Data: cee04 (Number of observations: 4649) 
##   Draws: 3 chains, each with iter = 44000; warmup = 4000; thin = 4;
##          total post-warmup draws = 30000
## 
## Group-Level Effects: 
## ~nuts2 (Number of levels: 26) 
##               Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
## sd(Intercept)     0.46      0.08     0.34     0.64 1.00    19772    24066
## 
## Population-Level Effects: 
##           Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
## Intercept     3.23      0.10     3.04     3.42 1.00    15168    21572
## 
## Family Specific Parameters: 
##       Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
## sigma     1.78      0.02     1.74     1.82 1.00    29778    29210
## nu       74.81     20.37    42.78   122.02 1.00    30138    29168
## 
## Draws were sampled using sampling(NUTS). For each parameter, Bulk_ESS
## and Tail_ESS are effective sample size measures, and Rhat is the potential
## scale reduction factor on split chains (at convergence, Rhat = 1).

Trace-Plots

Trace-Plot

Autokorrelation-Plots

Autokorrelations-Plot

Posterior-Verteilung

Posterior-Plot

Model 1

Modellübersicht

##  Family: student 
##   Links: mu = identity; sigma = identity; nu = identity 
## Formula: trust ~ 1 + (1 | nuts2) + stfdemc + stfgovc + outcomec + stfgovc:stfdemc + stfgovc:outcomec 
##    Data: cee04 (Number of observations: 4649) 
##   Draws: 3 chains, each with iter = 44000; warmup = 4000; thin = 4;
##          total post-warmup draws = 30000
## 
## Group-Level Effects: 
## ~nuts2 (Number of levels: 26) 
##               Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
## sd(Intercept)     0.46      0.07     0.34     0.63 1.00    16294    23428
## 
## Population-Level Effects: 
##                  Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
## Intercept            3.29      0.09     3.11     3.48 1.00    12387    19145
## stfdemc              0.95      0.05     0.85     1.06 1.00    30357    29844
## stfgovc              1.27      0.06     1.15     1.39 1.00    30198    29724
## outcomec             0.41      0.06     0.30     0.52 1.00    29630    28982
## stfdemc:stfgovc      0.22      0.10     0.02     0.41 1.00    27995    28896
## stfgovc:outcomec    -0.37      0.10    -0.56    -0.18 1.00    29742    29719
## 
## Family Specific Parameters: 
##       Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
## sigma     1.35      0.02     1.30     1.39 1.00    29150    27861
## nu       14.89      3.11    10.36    22.34 1.00    29243    28133
## 
## Draws were sampled using sampling(NUTS). For each parameter, Bulk_ESS
## and Tail_ESS are effective sample size measures, and Rhat is the potential
## scale reduction factor on split chains (at convergence, Rhat = 1).

Trace-Plots

Trace-Plot

Autokorrelation-Plots

Autokorrelations-Plot

Posterior-Verteilung

Posterior-Plot

Model 2

Modellübersicht

##  Family: student 
##   Links: mu = identity; sigma = identity; nu = identity 
## Formula: trust ~ 1 + (1 | nuts2) + stfdemc + stfgovc + outcomec + stfgovc:stfdemc + stfgovc:outcomec + ageac + gndr + class5 + eduyrsc + hincfel2 + hincsrca2 + socialist + votgov 
##    Data: cee04 (Number of observations: 4649) 
##   Draws: 3 chains, each with iter = 44000; warmup = 4000; thin = 4;
##          total post-warmup draws = 30000
## 
## Group-Level Effects: 
## ~nuts2 (Number of levels: 26) 
##               Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
## sd(Intercept)     0.45      0.07     0.34     0.62 1.00    17315    24191
## 
## Population-Level Effects: 
##                               Estimate Est.Error l-95% CI u-95% CI Rhat
## Intercept                         3.23      0.14     2.96     3.51 1.00
## stfdemc                           0.95      0.05     0.84     1.06 1.00
## stfgovc                           1.26      0.06     1.14     1.38 1.00
## outcomec                          0.41      0.06     0.29     0.52 1.00
## ageac                             0.09      0.12    -0.13     0.32 1.00
## gndrfemale                        0.16      0.04     0.08     0.25 1.00
## class5LowerMgradeserviceclass    -0.02      0.08    -0.18     0.14 1.00
## class5Smallbusinessowners        -0.21      0.10    -0.40    -0.02 1.00
## class5Skilledworkers             -0.04      0.08    -0.20     0.11 1.00
## class5Unskilledworkers           -0.06      0.09    -0.24     0.12 1.00
## eduyrsc                           0.06      0.05    -0.05     0.17 1.00
## hincfel2good                      0.09      0.05     0.00     0.18 1.00
## hincsrca2stateaid                 0.12      0.06     0.00     0.24 1.00
## socialistoldsocialist            -0.10      0.10    -0.30     0.11 1.00
## socialistsocialist               -0.04      0.07    -0.19     0.10 1.00
## votgovvoted                      -0.01      0.05    -0.11     0.09 1.00
## stfdemc:stfgovc                   0.20      0.10     0.01     0.40 1.00
## stfgovc:outcomec                 -0.34      0.10    -0.53    -0.16 1.00
##                               Bulk_ESS Tail_ESS
## Intercept                        17711    24344
## stfdemc                          29755    29193
## stfgovc                          30210    28920
## outcomec                         30163    29503
## ageac                            26683    28386
## gndrfemale                       30160    29407
## class5LowerMgradeserviceclass    25690    28857
## class5Smallbusinessowners        25445    27695
## class5Skilledworkers             24773    27400
## class5Unskilledworkers           24048    27622
## eduyrsc                          28915    29150
## hincfel2good                     30121    30224
## hincsrca2stateaid                28748    29102
## socialistoldsocialist            27546    28637
## socialistsocialist               27208    28767
## votgovvoted                      29081    28667
## stfdemc:stfgovc                  28701    29455
## stfgovc:outcomec                 29511    28371
## 
## Family Specific Parameters: 
##       Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
## sigma     1.34      0.02     1.29     1.38 1.00    28644    28637
## nu       14.01      2.78     9.86    20.69 1.00    28735    28680
## 
## Draws were sampled using sampling(NUTS). For each parameter, Bulk_ESS
## and Tail_ESS are effective sample size measures, and Rhat is the potential
## scale reduction factor on split chains (at convergence, Rhat = 1).

Trace-Plots

Trace-Plot

Autokorrelation-Plots

Autokorrelations-Plot

Posterior-Verteilung

Posterior-Plot

Model 3

Modellübersicht

##  Family: student 
##   Links: mu = identity; sigma = identity; nu = identity 
## Formula: trust ~ 1 + (1 | nuts2) + stfdemc + stfgovc + outcomec + stfgovc:stfdemc + stfgovc:outcomec + ageac + gndr + class5 + eduyrsc + hincfel2 + hincsrca2 + socialist + votgov + ppltrstc + gincdifc + freehmsc + ipeqoptc + impfreec 
##    Data: cee04 (Number of observations: 4649) 
##   Draws: 3 chains, each with iter = 44000; warmup = 4000; thin = 4;
##          total post-warmup draws = 30000
## 
## Group-Level Effects: 
## ~nuts2 (Number of levels: 26) 
##               Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
## sd(Intercept)     0.46      0.07     0.34     0.63 1.00    17761    25820
## 
## Population-Level Effects: 
##                               Estimate Est.Error l-95% CI u-95% CI Rhat
## Intercept                         3.22      0.14     2.95     3.50 1.00
## stfdemc                           0.87      0.05     0.76     0.97 1.00
## stfgovc                           1.24      0.06     1.12     1.36 1.00
## outcomec                          0.36      0.06     0.25     0.47 1.00
## ageac                             0.10      0.11    -0.13     0.32 1.00
## gndrfemale                        0.16      0.04     0.07     0.24 1.00
## class5LowerMgradeserviceclass    -0.01      0.08    -0.16     0.15 1.00
## class5Smallbusinessowners        -0.18      0.10    -0.37     0.01 1.00
## class5Skilledworkers             -0.02      0.08    -0.17     0.14 1.00
## class5Unskilledworkers           -0.05      0.09    -0.22     0.13 1.00
## eduyrsc                           0.03      0.05    -0.07     0.14 1.00
## hincfel2good                      0.08      0.05    -0.01     0.17 1.00
## hincsrca2stateaid                 0.13      0.06     0.01     0.25 1.00
## socialistoldsocialist            -0.10      0.10    -0.31     0.10 1.00
## socialistsocialist               -0.03      0.07    -0.17     0.11 1.00
## votgovvoted                      -0.01      0.05    -0.11     0.09 1.00
## ppltrstc                          0.50      0.05     0.41     0.59 1.00
## gincdifc                          0.02      0.04    -0.07     0.10 1.00
## freehmsc                         -0.03      0.04    -0.12     0.05 1.00
## ipeqoptc                          0.14      0.04     0.05     0.22 1.00
## impfreec                         -0.05      0.04    -0.14     0.03 1.00
## stfdemc:stfgovc                   0.25      0.10     0.06     0.44 1.00
## stfgovc:outcomec                 -0.35      0.09    -0.53    -0.16 1.00
##                               Bulk_ESS Tail_ESS
## Intercept                        19488    25213
## stfdemc                          29783    28904
## stfgovc                          29673    29070
## outcomec                         30303    28830
## ageac                            27198    29152
## gndrfemale                       29691    28842
## class5LowerMgradeserviceclass    26629    28623
## class5Smallbusinessowners        27325    28301
## class5Skilledworkers             26220    28731
## class5Unskilledworkers           25950    28313
## eduyrsc                          28374    29423
## hincfel2good                     29870    29038
## hincsrca2stateaid                29005    29346
## socialistoldsocialist            27879    29276
## socialistsocialist               28012    27903
## votgovvoted                      29941    28803
## ppltrstc                         30543    29003
## gincdifc                         29315    28915
## freehmsc                         29571    29885
## ipeqoptc                         29182    29199
## impfreec                         29458    29172
## stfdemc:stfgovc                  29812    29716
## stfgovc:outcomec                 29521    29550
## 
## Family Specific Parameters: 
##       Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
## sigma     1.31      0.02     1.26     1.35 1.00    27383    29388
## nu       12.62      2.27     9.17    17.99 1.00    27531    28994
## 
## Draws were sampled using sampling(NUTS). For each parameter, Bulk_ESS
## and Tail_ESS are effective sample size measures, and Rhat is the potential
## scale reduction factor on split chains (at convergence, Rhat = 1).

Trace-Plots

Trace-Plot

Autokorrelation-Plots

Autokorrelations-Plot

Posterior-Verteilung

Posterior-Plot

Model 4

Modellübersicht

##  Family: student 
##   Links: mu = identity; sigma = identity; nu = identity 
## Formula: trust ~ 1 + (1 | nuts2) + stfdemc + stfgovc + outcomec + stfgovc:stfdemc + stfgovc:outcomec + ageac + gndr + class5 + eduyrsc + hincfel2 + hincsrca2 + socialist + votgov + ppltrstc + gincdifc + freehmsc + ipeqoptc + impfreec + rankgm + neggm + gincdifgm + impfreegm + ipeqoptgm 
##    Data: cee04 (Number of observations: 4649) 
##   Draws: 3 chains, each with iter = 44000; warmup = 4000; thin = 4;
##          total post-warmup draws = 30000
## 
## Group-Level Effects: 
## ~nuts2 (Number of levels: 26) 
##               Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
## sd(Intercept)     0.43      0.08     0.30     0.61 1.00    24080    25752
## 
## Population-Level Effects: 
##                               Estimate Est.Error l-95% CI u-95% CI Rhat
## Intercept                         3.20      0.14     2.93     3.48 1.00
## stfdemc                           0.87      0.05     0.76     0.97 1.00
## stfgovc                           1.24      0.06     1.12     1.36 1.00
## outcomec                          0.36      0.06     0.25     0.47 1.00
## ageac                             0.10      0.11    -0.12     0.32 1.00
## gndrfemale                        0.16      0.04     0.07     0.24 1.00
## class5LowerMgradeserviceclass    -0.01      0.08    -0.17     0.15 1.00
## class5Smallbusinessowners        -0.18      0.10    -0.37     0.01 1.00
## class5Skilledworkers             -0.02      0.08    -0.17     0.14 1.00
## class5Unskilledworkers           -0.05      0.09    -0.22     0.13 1.00
## eduyrsc                           0.03      0.05    -0.07     0.14 1.00
## hincfel2good                      0.08      0.05    -0.01     0.17 1.00
## hincsrca2stateaid                 0.12      0.06     0.01     0.24 1.00
## socialistoldsocialist            -0.11      0.10    -0.31     0.09 1.00
## socialistsocialist               -0.03      0.07    -0.18     0.11 1.00
## votgovvoted                      -0.01      0.05    -0.11     0.08 1.00
## ppltrstc                          0.50      0.05     0.41     0.59 1.00
## gincdifc                          0.02      0.04    -0.07     0.10 1.00
## freehmsc                         -0.03      0.04    -0.12     0.05 1.00
## ipeqoptc                          0.14      0.04     0.05     0.22 1.00
## impfreec                         -0.05      0.04    -0.14     0.03 1.00
## rankgm                            0.11      0.20    -0.28     0.50 1.00
## neggm                            -0.46      0.27    -1.00     0.07 1.00
## gincdifgm                         0.68      0.27     0.15     1.22 1.00
## impfreegm                        -0.12      0.28    -0.66     0.43 1.00
## ipeqoptgm                        -0.23      0.36    -0.94     0.48 1.00
## stfdemc:stfgovc                   0.25      0.10     0.06     0.45 1.00
## stfgovc:outcomec                 -0.35      0.10    -0.53    -0.16 1.00
##                               Bulk_ESS Tail_ESS
## Intercept                        28899    28931
## stfdemc                          29413    29006
## stfgovc                          30088    30249
## outcomec                         29791    28512
## ageac                            29899    29512
## gndrfemale                       28617    28803
## class5LowerMgradeserviceclass    29534    29349
## class5Smallbusinessowners        29343    29471
## class5Skilledworkers             29117    28347
## class5Unskilledworkers           29670    29655
## eduyrsc                          29140    29196
## hincfel2good                     30115    29153
## hincsrca2stateaid                29669    29335
## socialistoldsocialist            29964    29740
## socialistsocialist               29696    29230
## votgovvoted                      29468    28719
## ppltrstc                         28990    28413
## gincdifc                         29448    28323
## freehmsc                         29340    28479
## ipeqoptc                         28749    28356
## impfreec                         28453    28451
## rankgm                           29075    29433
## neggm                            28558    28772
## gincdifgm                        28857    29246
## impfreegm                        28368    28747
## ipeqoptgm                        28131    28565
## stfdemc:stfgovc                  29424    29778
## stfgovc:outcomec                 30174    29387
## 
## Family Specific Parameters: 
##       Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
## sigma     1.31      0.02     1.26     1.35 1.00    29284    28625
## nu       12.58      2.27     9.12    17.90 1.00    29917    27750
## 
## Draws were sampled using sampling(NUTS). For each parameter, Bulk_ESS
## and Tail_ESS are effective sample size measures, and Rhat is the potential
## scale reduction factor on split chains (at convergence, Rhat = 1).

Trace-Plots

Trace-Plot

Autokorrelation-Plots

Autokorrelations-Plot

Posterior-Verteilung

Posterior-Plot

Model 5

Modellübersicht

##  Family: student 
##   Links: mu = identity; sigma = identity; nu = identity 
## Formula: trust ~ 1 + (1 | nuts2) + stfdemc + stfgovc + outcomec + stfgovc:stfdemc + stfgovc:outcomec + ageac + gndr + class5 + eduyrsc + hincfel2 + hincsrca2 + socialist + votgov + ppltrstc + gincdifc + freehmsc + ipeqoptc + impfreec + gdpngm + uergm + yempgm + hhincgm + neggm + gincdifgm + impfreegm + ipeqoptgm 
##    Data: cee04 (Number of observations: 4649) 
##   Draws: 3 chains, each with iter = 44000; warmup = 4000; thin = 4;
##          total post-warmup draws = 30000
## 
## Group-Level Effects: 
## ~nuts2 (Number of levels: 26) 
##               Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
## sd(Intercept)     0.47      0.09     0.32     0.69 1.00    24775    27950
## 
## Population-Level Effects: 
##                               Estimate Est.Error l-95% CI u-95% CI Rhat
## Intercept                         3.21      0.15     2.93     3.50 1.00
## stfdemc                           0.87      0.05     0.76     0.97 1.00
## stfgovc                           1.24      0.06     1.12     1.36 1.00
## outcomec                          0.36      0.06     0.25     0.47 1.00
## ageac                             0.10      0.11    -0.12     0.33 1.00
## gndrfemale                        0.15      0.04     0.07     0.24 1.00
## class5LowerMgradeserviceclass    -0.01      0.08    -0.17     0.15 1.00
## class5Smallbusinessowners        -0.18      0.10    -0.37     0.01 1.00
## class5Skilledworkers             -0.02      0.08    -0.17     0.14 1.00
## class5Unskilledworkers           -0.05      0.09    -0.22     0.13 1.00
## eduyrsc                           0.03      0.05    -0.07     0.14 1.00
## hincfel2good                      0.08      0.05    -0.01     0.17 1.00
## hincsrca2stateaid                 0.12      0.06     0.00     0.24 1.00
## socialistoldsocialist            -0.11      0.10    -0.32     0.09 1.00
## socialistsocialist               -0.03      0.07    -0.18     0.11 1.00
## votgovvoted                      -0.01      0.05    -0.11     0.09 1.00
## ppltrstc                          0.50      0.05     0.41     0.59 1.00
## gincdifc                          0.02      0.04    -0.07     0.10 1.00
## freehmsc                         -0.03      0.04    -0.12     0.05 1.00
## ipeqoptc                          0.14      0.04     0.05     0.22 1.00
## impfreec                         -0.05      0.04    -0.14     0.03 1.00
## gdpngm                            0.12      0.25    -0.37     0.62 1.00
## uergm                             0.09      0.48    -0.86     1.04 1.00
## yempgm                           -0.10      0.51    -1.12     0.91 1.00
## hhincgm                           0.04      0.42    -0.80     0.87 1.00
## neggm                            -0.49      0.38    -1.24     0.25 1.00
## gincdifgm                         0.77      0.37     0.04     1.50 1.00
## impfreegm                        -0.16      0.35    -0.84     0.54 1.00
## ipeqoptgm                        -0.25      0.45    -1.13     0.65 1.00
## stfdemc:stfgovc                   0.25      0.10     0.06     0.44 1.00
## stfgovc:outcomec                 -0.35      0.10    -0.53    -0.16 1.00
##                               Bulk_ESS Tail_ESS
## Intercept                        28924    28499
## stfdemc                          29279    29371
## stfgovc                          28060    28640
## outcomec                         29285    28336
## ageac                            30262    28938
## gndrfemale                       28221    28132
## class5LowerMgradeserviceclass    29668    29635
## class5Smallbusinessowners        29648    28587
## class5Skilledworkers             29631    29110
## class5Unskilledworkers           28693    28807
## eduyrsc                          28100    30200
## hincfel2good                     29443    28436
## hincsrca2stateaid                29904    29039
## socialistoldsocialist            29660    28445
## socialistsocialist               30220    28677
## votgovvoted                      29704    29596
## ppltrstc                         29596    28866
## gincdifc                         29629    29149
## freehmsc                         29962    29541
## ipeqoptc                         29228    28119
## impfreec                         29819    28854
## gdpngm                           30106    30223
## uergm                            29326    28631
## yempgm                           28542    28744
## hhincgm                          29026    29336
## neggm                            30373    29109
## gincdifgm                        29173    27596
## impfreegm                        28566    28380
## ipeqoptgm                        29927    29413
## stfdemc:stfgovc                  29926    29269
## stfgovc:outcomec                 29107    28613
## 
## Family Specific Parameters: 
##       Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
## sigma     1.31      0.02     1.26     1.35 1.00    28939    28209
## nu       12.58      2.28     9.14    17.98 1.00    29380    29512
## 
## Draws were sampled using sampling(NUTS). For each parameter, Bulk_ESS
## and Tail_ESS are effective sample size measures, and Rhat is the potential
## scale reduction factor on split chains (at convergence, Rhat = 1).

Trace-Plots

Trace-Plot

Autokorrelation-Plots

Autokorrelations-Plot

Posterior-Verteilung

Posterior-Plot

Copyright:
Benedikt Philipp Kleer, 2022 (Online-Appendix zur Promotion, eingereicht am 14. September 2022, Fachbereich 03, Justus-Liebig-Universität Gießen).