Nullmodell (2-Level)

Modellübersicht

##  Family: student 
##   Links: mu = identity; sigma = identity; nu = identity 
## Formula: trust ~ 1 + (1 | nuts2) 
##    Data: cee12 (Number of observations: 4818) 
##   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)     0.52      0.09     0.38     0.72 1.00    20539    25148
## 
## Population-Level Effects: 
##           Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
## Intercept     3.52      0.11     3.31     3.74 1.00    14769    21790
## 
## Family Specific Parameters: 
##       Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
## sigma     1.98      0.02     1.94     2.02 1.00    28887    28116
## nu       75.17     20.53    42.84   122.34 1.00    30006    29069
## 
## 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) + demunc + stfdemc + stfgovc + outcomec + stfgovc:stfdemc + stfgovc:outcomec + stfdemc:demunc 
##    Data: cee12 (Number of observations: 4818) 
##   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)     0.53      0.08     0.40     0.73 1.00    15959    23983
## 
## Population-Level Effects: 
##                  Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
## Intercept            3.53      0.11     3.31     3.75 1.00    11918    18436
## demunc               0.12      0.05     0.03     0.21 1.00    29849    28771
## stfdemc              1.07      0.06     0.95     1.20 1.00    28477    28248
## stfgovc              1.38      0.07     1.24     1.52 1.00    29009    28856
## outcomec             0.47      0.07     0.34     0.59 1.00    29612    29801
## stfdemc:stfgovc      0.52      0.11     0.31     0.74 1.00    29128    28897
## stfgovc:outcomec    -0.41      0.11    -0.62    -0.20 1.00    29277    29433
## demunc:stfdemc       0.33      0.10     0.14     0.52 1.00    29862    29758
## 
## Family Specific Parameters: 
##       Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
## sigma     1.44      0.02     1.40     1.49 1.00    29324    29351
## nu       13.39      2.41     9.74    19.12 1.00    29323    29109
## 
## 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) + demunc + stfdemc + stfgovc + outcomec + stfgovc:stfdemc + stfgovc:outcomec + stfdemc:demunc + ageac + gndr + class5 + eduyrsc + hincfel2 + hincsrca2 + socialist + votgov 
##    Data: cee12 (Number of observations: 4818) 
##   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)     0.53      0.08     0.39     0.72 1.00    19622    25295
## 
## Population-Level Effects: 
##                               Estimate Est.Error l-95% CI u-95% CI Rhat
## Intercept                         3.58      0.15     3.28     3.86 1.00
## demunc                            0.11      0.05     0.02     0.20 1.00
## stfdemc                           1.07      0.06     0.95     1.20 1.00
## stfgovc                           1.32      0.07     1.18     1.46 1.00
## outcomec                          0.48      0.07     0.35     0.60 1.00
## ageac                             0.42      0.13     0.16     0.67 1.00
## gndrfemale                        0.07      0.05    -0.02     0.16 1.00
## class5LowerMgradeserviceclass     0.11      0.08    -0.04     0.27 1.00
## class5Smallbusinessowners        -0.30      0.10    -0.50    -0.11 1.00
## class5Skilledworkers              0.01      0.08    -0.14     0.17 1.00
## class5Unskilledworkers           -0.06      0.09    -0.23     0.11 1.00
## eduyrsc                          -0.01      0.06    -0.12     0.10 1.00
## hincfel2good                      0.09      0.05    -0.01     0.19 1.00
## hincsrca2stateaid                -0.01      0.07    -0.14     0.12 1.00
## socialistoldsocialist            -0.24      0.12    -0.48    -0.01 1.00
## socialistsocialist               -0.25      0.08    -0.41    -0.09 1.00
## votgovvoted                       0.09      0.05    -0.01     0.19 1.00
## stfdemc:stfgovc                   0.52      0.11     0.31     0.74 1.00
## stfgovc:outcomec                 -0.38      0.11    -0.59    -0.17 1.00
## demunc:stfdemc                    0.32      0.10     0.14     0.51 1.00
##                               Bulk_ESS Tail_ESS
## Intercept                        18769    24470
## demunc                           29549    29401
## stfdemc                          28891    28731
## stfgovc                          30256    29251
## outcomec                         29106    29112
## ageac                            28605    28796
## gndrfemale                       29746    29513
## class5LowerMgradeserviceclass    28354    29621
## class5Smallbusinessowners        28242    29001
## class5Skilledworkers             28093    28796
## class5Unskilledworkers           28036    29388
## eduyrsc                          29354    29751
## hincfel2good                     29045    29899
## hincsrca2stateaid                29815    29757
## socialistoldsocialist            29030    29428
## socialistsocialist               28532    28754
## votgovvoted                      29798    29267
## stfdemc:stfgovc                  28333    28561
## stfgovc:outcomec                 29465    29949
## demunc:stfdemc                   29378    29650
## 
## Family Specific Parameters: 
##       Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
## sigma     1.44      0.02     1.39     1.49 1.00    29012    29719
## nu       13.69      2.54     9.88    19.77 1.00    28235    29254
## 
## 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) + demunc + stfdemc + stfgovc + outcomec + stfgovc:stfdemc + stfgovc:outcomec + stfdemc:demunc + ageac + gndr + class5 + eduyrsc + hincfel2 + hincsrca2 + socialist + votgov + ppltrstc + gincdifc + freehmsc + ipeqoptc + impfreec 
##    Data: cee12 (Number of observations: 4818) 
##   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)     0.53      0.08     0.39     0.72 1.00    18922    26267
## 
## Population-Level Effects: 
##                               Estimate Est.Error l-95% CI u-95% CI Rhat
## Intercept                         3.57      0.15     3.28     3.87 1.00
## demunc                            0.15      0.05     0.05     0.25 1.00
## stfdemc                           1.02      0.06     0.90     1.14 1.00
## stfgovc                           1.32      0.07     1.18     1.46 1.00
## outcomec                          0.41      0.07     0.28     0.54 1.00
## ageac                             0.41      0.13     0.15     0.66 1.00
## gndrfemale                        0.07      0.04    -0.02     0.16 1.00
## class5LowerMgradeserviceclass     0.12      0.08    -0.04     0.27 1.00
## class5Smallbusinessowners        -0.28      0.10    -0.48    -0.09 1.00
## class5Skilledworkers              0.02      0.08    -0.14     0.17 1.00
## class5Unskilledworkers           -0.06      0.09    -0.23     0.11 1.00
## eduyrsc                          -0.01      0.06    -0.12     0.09 1.00
## hincfel2good                      0.07      0.05    -0.03     0.17 1.00
## hincsrca2stateaid                 0.01      0.07    -0.12     0.14 1.00
## socialistoldsocialist            -0.26      0.12    -0.49    -0.02 1.00
## socialistsocialist               -0.26      0.08    -0.41    -0.10 1.00
## votgovvoted                       0.09      0.05    -0.00     0.19 1.00
## ppltrstc                          0.44      0.05     0.35     0.53 1.00
## gincdifc                         -0.05      0.05    -0.14     0.04 1.00
## freehmsc                         -0.12      0.05    -0.21    -0.02 1.00
## ipeqoptc                          0.03      0.05    -0.06     0.13 1.00
## impfreec                         -0.15      0.05    -0.24    -0.06 1.00
## stfdemc:stfgovc                   0.55      0.11     0.34     0.75 1.00
## stfgovc:outcomec                 -0.34      0.11    -0.55    -0.13 1.00
## demunc:stfdemc                    0.37      0.10     0.18     0.56 1.00
##                               Bulk_ESS Tail_ESS
## Intercept                        18422    23579
## demunc                           30073    29889
## stfdemc                          29767    28891
## stfgovc                          30565    29498
## outcomec                         30423    28978
## ageac                            27781    28321
## gndrfemale                       30030    29433
## class5LowerMgradeserviceclass    27865    28968
## class5Smallbusinessowners        28688    29239
## class5Skilledworkers             28412    29884
## class5Unskilledworkers           27867    29096
## eduyrsc                          29441    29802
## hincfel2good                     30353    29344
## hincsrca2stateaid                26753    29293
## socialistoldsocialist            27263    26915
## socialistsocialist               28361    28737
## votgovvoted                      30406    28661
## ppltrstc                         30981    28407
## gincdifc                         29881    28514
## freehmsc                         29632    28814
## ipeqoptc                         29185    28809
## impfreec                         29275    28289
## stfdemc:stfgovc                  30042    29393
## stfgovc:outcomec                 29797    29593
## demunc:stfdemc                   29863    29615
## 
## Family Specific Parameters: 
##       Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
## sigma     1.42      0.02     1.37     1.46 1.00    29772    29147
## nu       12.80      2.19     9.43    17.94 1.00    30055    29635
## 
## 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) + demunc + stfdemc + stfgovc + outcomec + stfgovc:stfdemc + stfgovc:outcomec + stfdemc:demunc + ageac + gndr + class5 + eduyrsc + hincfel2 + hincsrca2 + socialist + votgov + ppltrstc + gincdifc + freehmsc + ipeqoptc + impfreec + rankgm + neggm + gincdifgm + impfreegm + ipeqoptgm 
##    Data: cee12 (Number of observations: 4818) 
##   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)     0.48      0.09     0.35     0.69 1.00    24500    27970
## 
## Population-Level Effects: 
##                               Estimate Est.Error l-95% CI u-95% CI Rhat
## Intercept                         3.59      0.14     3.31     3.88 1.00
## demunc                            0.15      0.05     0.06     0.25 1.00
## stfdemc                           1.02      0.06     0.90     1.14 1.00
## stfgovc                           1.32      0.07     1.18     1.46 1.00
## outcomec                          0.41      0.07     0.28     0.54 1.00
## ageac                             0.41      0.13     0.15     0.66 1.00
## gndrfemale                        0.07      0.04    -0.02     0.15 1.00
## class5LowerMgradeserviceclass     0.12      0.08    -0.04     0.27 1.00
## class5Smallbusinessowners        -0.28      0.10    -0.48    -0.09 1.00
## class5Skilledworkers              0.02      0.08    -0.14     0.17 1.00
## class5Unskilledworkers           -0.06      0.09    -0.23     0.11 1.00
## eduyrsc                          -0.01      0.06    -0.12     0.09 1.00
## hincfel2good                      0.07      0.05    -0.03     0.17 1.00
## hincsrca2stateaid                 0.01      0.07    -0.12     0.14 1.00
## socialistoldsocialist            -0.26      0.12    -0.49    -0.02 1.00
## socialistsocialist               -0.26      0.08    -0.41    -0.10 1.00
## votgovvoted                       0.09      0.05    -0.00     0.19 1.00
## ppltrstc                          0.44      0.05     0.35     0.53 1.00
## gincdifc                         -0.05      0.05    -0.14     0.04 1.00
## freehmsc                         -0.12      0.05    -0.21    -0.03 1.00
## ipeqoptc                          0.03      0.05    -0.06     0.13 1.00
## impfreec                         -0.15      0.05    -0.24    -0.06 1.00
## rankgm                            0.22      0.24    -0.25     0.70 1.00
## neggm                            -0.77      0.35    -1.46    -0.06 1.00
## gincdifgm                         0.91      0.39     0.12     1.69 1.00
## impfreegm                        -0.07      0.45    -0.95     0.82 1.00
## ipeqoptgm                        -0.29      0.51    -1.30     0.71 1.00
## stfdemc:stfgovc                   0.55      0.11     0.34     0.76 1.00
## stfgovc:outcomec                 -0.34      0.11    -0.55    -0.13 1.00
## demunc:stfdemc                    0.36      0.10     0.18     0.55 1.00
##                               Bulk_ESS Tail_ESS
## Intercept                        28789    29415
## demunc                           29695    29509
## stfdemc                          29566    28538
## stfgovc                          29481    28838
## outcomec                         28735    28420
## ageac                            29542    29675
## gndrfemale                       30323    29127
## class5LowerMgradeserviceclass    28533    29176
## class5Smallbusinessowners        29253    29386
## class5Skilledworkers             29184    28605
## class5Unskilledworkers           29483    28574
## eduyrsc                          29260    29134
## hincfel2good                     29979    29356
## hincsrca2stateaid                30030    27709
## socialistoldsocialist            29307    28605
## socialistsocialist               29531    28491
## votgovvoted                      29892    28906
## ppltrstc                         29040    28185
## gincdifc                         29914    29415
## freehmsc                         30216    28755
## ipeqoptc                         30319    28737
## impfreec                         29309    29114
## rankgm                           29391    29393
## neggm                            28860    27115
## gincdifgm                        28628    28830
## impfreegm                        27258    27924
## ipeqoptgm                        27766    27652
## stfdemc:stfgovc                  29568    28877
## stfgovc:outcomec                 30081    29514
## demunc:stfdemc                   29997    28139
## 
## Family Specific Parameters: 
##       Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
## sigma     1.42      0.02     1.37     1.46 1.00    29642    29513
## nu       12.74      2.18     9.42    17.92 1.00    30247    29787
## 
## 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) + demunc + stfdemc + stfgovc + outcomec + stfgovc:stfdemc + stfgovc:outcomec + stfdemc:demunc + ageac + gndr + class5 + eduyrsc + hincfel2 + hincsrca2 + socialist + votgov + ppltrstc + gincdifc + freehmsc + ipeqoptc + impfreec + gdpngm + uergm + yempgm + hhincgm + neggm + gincdifgm + impfreegm + ipeqoptgm 
##    Data: cee12 (Number of observations: 4818) 
##   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)     0.52      0.10     0.36     0.76 1.00    25008    27919
## 
## Population-Level Effects: 
##                               Estimate Est.Error l-95% CI u-95% CI Rhat
## Intercept                         3.59      0.15     3.30     3.89 1.00
## demunc                            0.15      0.05     0.06     0.25 1.00
## stfdemc                           1.02      0.06     0.90     1.14 1.00
## stfgovc                           1.32      0.07     1.18     1.46 1.00
## outcomec                          0.41      0.07     0.28     0.54 1.00
## ageac                             0.41      0.13     0.15     0.65 1.00
## gndrfemale                        0.07      0.04    -0.02     0.16 1.00
## class5LowerMgradeserviceclass     0.11      0.08    -0.04     0.27 1.00
## class5Smallbusinessowners        -0.28      0.10    -0.47    -0.09 1.00
## class5Skilledworkers              0.02      0.08    -0.13     0.17 1.00
## class5Unskilledworkers           -0.06      0.09    -0.22     0.11 1.00
## eduyrsc                          -0.01      0.05    -0.12     0.09 1.00
## hincfel2good                      0.07      0.05    -0.03     0.17 1.00
## hincsrca2stateaid                 0.01      0.07    -0.12     0.14 1.00
## socialistoldsocialist            -0.26      0.12    -0.49    -0.02 1.00
## socialistsocialist               -0.26      0.08    -0.41    -0.10 1.00
## votgovvoted                       0.09      0.05    -0.00     0.19 1.00
## ppltrstc                          0.44      0.05     0.35     0.53 1.00
## gincdifc                         -0.05      0.05    -0.14     0.04 1.00
## freehmsc                         -0.12      0.05    -0.21    -0.03 1.00
## ipeqoptc                          0.03      0.05    -0.06     0.13 1.00
## impfreec                         -0.15      0.05    -0.24    -0.06 1.00
## gdpngm                            0.22      0.26    -0.28     0.73 1.00
## uergm                             0.04      0.71    -1.37     1.45 1.00
## yempgm                            0.19      0.59    -0.99     1.35 1.00
## hhincgm                           0.31      0.47    -0.62     1.25 1.00
## neggm                            -0.79      0.38    -1.54    -0.04 1.00
## gincdifgm                         1.13      0.46     0.21     2.04 1.00
## impfreegm                         0.10      0.51    -0.92     1.11 1.00
## ipeqoptgm                        -0.61      0.58    -1.75     0.57 1.00
## stfdemc:stfgovc                   0.55      0.11     0.34     0.76 1.00
## stfgovc:outcomec                 -0.34      0.11    -0.55    -0.13 1.00
## demunc:stfdemc                    0.37      0.10     0.18     0.55 1.00
##                               Bulk_ESS Tail_ESS
## Intercept                        29621    29759
## demunc                           29315    29271
## stfdemc                          28826    28902
## stfgovc                          28429    28623
## outcomec                         29139    28837
## ageac                            29281    29761
## gndrfemale                       27656    28874
## class5LowerMgradeserviceclass    29776    29716
## class5Smallbusinessowners        29300    29270
## class5Skilledworkers             29749    29797
## class5Unskilledworkers           29883    29149
## eduyrsc                          27379    28426
## hincfel2good                     28343    27700
## hincsrca2stateaid                28932    28966
## socialistoldsocialist            29251    28693
## socialistsocialist               29840    28903
## votgovvoted                      27119    27638
## ppltrstc                         27783    27193
## gincdifc                         28540    28175
## freehmsc                         28962    26024
## ipeqoptc                         28645    28519
## impfreec                         28594    28876
## gdpngm                           28584    28562
## uergm                            28043    28530
## yempgm                           27713    28037
## hhincgm                          28787    28624
## neggm                            27530    28604
## gincdifgm                        28096    27464
## impfreegm                        28293    28546
## ipeqoptgm                        27543    28586
## stfdemc:stfgovc                  29340    28280
## stfgovc:outcomec                 29993    28799
## demunc:stfdemc                   28373    27588
## 
## Family Specific Parameters: 
##       Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
## sigma     1.42      0.02     1.37     1.46 1.00    30228    29097
## nu       12.72      2.17     9.35    17.77 1.00    30203    28672
## 
## 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).