Nullmodell (2-Level)

Modellübersicht

##  Family: student 
##   Links: mu = identity; sigma = identity; nu = identity 
## Formula: trust ~ 1 + (1 | nuts2) 
##    Data: cee18 (Number of observations: 4680) 
##   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)     0.56      0.09     0.41     0.77 1.00    19417    22993
## 
## Population-Level Effects: 
##           Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
## Intercept     4.43      0.12     4.20     4.66 1.00    14631    21346
## 
## Family Specific Parameters: 
##       Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
## sigma     2.05      0.02     2.01     2.09 1.00    30251    28750
## nu       83.77     21.89    49.04   134.03 1.00    29542    28850
## 
## 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: cee18 (Number of observations: 4680) 
##   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)     0.58      0.09     0.43     0.79 1.00    16002    23232
## 
## Population-Level Effects: 
##                  Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
## Intercept            4.40      0.12     4.16     4.64 1.00    11611    17124
## stfdemc              0.97      0.07     0.84     1.11 1.00    30437    29342
## stfgovc              1.39      0.07     1.25     1.53 1.00    28165    28859
## outcomec             0.54      0.07     0.41     0.67 1.00    29346    29467
## stfdemc:stfgovc      0.09      0.11    -0.13     0.31 1.00    28286    28865
## stfgovc:outcomec    -0.05      0.11    -0.26     0.16 1.00    28262    29177
## 
## Family Specific Parameters: 
##       Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
## sigma     1.50      0.03     1.45     1.56 1.00    29091    29126
## nu        9.20      1.18     7.26    11.84 1.00    28664    28610
## 
## 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: cee18 (Number of observations: 4680) 
##   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)     0.58      0.09     0.43     0.78 1.00    17387    24462
## 
## Population-Level Effects: 
##                               Estimate Est.Error l-95% CI u-95% CI Rhat
## Intercept                         4.48      0.16     4.17     4.79 1.00
## stfdemc                           0.97      0.07     0.84     1.10 1.00
## stfgovc                           1.37      0.08     1.22     1.52 1.00
## outcomec                          0.50      0.07     0.36     0.63 1.00
## ageac                             0.30      0.13     0.03     0.56 1.00
## gndrfemale                       -0.03      0.05    -0.12     0.07 1.00
## class5LowerMgradeserviceclass     0.12      0.09    -0.06     0.29 1.00
## class5Smallbusinessowners        -0.17      0.10    -0.37     0.02 1.00
## class5Skilledworkers             -0.01      0.08    -0.16     0.14 1.00
## class5Unskilledworkers           -0.10      0.09    -0.28     0.09 1.00
## eduyrsc                           0.19      0.06     0.08     0.31 1.00
## hincfel2good                      0.07      0.06    -0.04     0.19 1.00
## hincsrca2stateaid                 0.09      0.08    -0.07     0.24 1.00
## socialistoldsocialist            -0.35      0.13    -0.61    -0.09 1.00
## socialistsocialist               -0.16      0.09    -0.34     0.02 1.00
## votgovvoted                       0.13      0.06     0.00     0.25 1.00
## stfdemc:stfgovc                   0.07      0.11    -0.15     0.29 1.00
## stfgovc:outcomec                 -0.06      0.11    -0.27     0.15 1.00
##                               Bulk_ESS Tail_ESS
## Intercept                        15981    23787
## stfdemc                          29677    30138
## stfgovc                          29989    29596
## outcomec                         29450    29092
## ageac                            27279    28577
## gndrfemale                       29973    29466
## class5LowerMgradeserviceclass    26993    28578
## class5Smallbusinessowners        26838    28661
## class5Skilledworkers             25804    26850
## class5Unskilledworkers           25674    27768
## eduyrsc                          28700    28992
## hincfel2good                     29249    29453
## hincsrca2stateaid                29597    29757
## socialistoldsocialist            27347    28285
## socialistsocialist               27528    28533
## votgovvoted                      28691    28519
## stfdemc:stfgovc                  29703    28669
## stfgovc:outcomec                 29581    29237
## 
## Family Specific Parameters: 
##       Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
## sigma     1.50      0.03     1.45     1.55 1.00    29950    29472
## nu        9.32      1.22     7.33    12.11 1.00    29319    29052
## 
## 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: cee18 (Number of observations: 4680) 
##   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)     0.57      0.09     0.43     0.79 1.00    17517    24415
## 
## Population-Level Effects: 
##                               Estimate Est.Error l-95% CI u-95% CI Rhat
## Intercept                         4.40      0.16     4.09     4.71 1.00
## stfdemc                           0.93      0.07     0.80     1.06 1.00
## stfgovc                           1.32      0.07     1.17     1.46 1.00
## outcomec                          0.40      0.07     0.27     0.53 1.00
## ageac                             0.27      0.13     0.01     0.53 1.00
## gndrfemale                       -0.01      0.05    -0.11     0.08 1.00
## class5LowerMgradeserviceclass     0.11      0.09    -0.06     0.28 1.00
## class5Smallbusinessowners        -0.10      0.10    -0.30     0.09 1.00
## class5Skilledworkers              0.02      0.08    -0.13     0.17 1.00
## class5Unskilledworkers           -0.06      0.09    -0.23     0.12 1.00
## eduyrsc                           0.16      0.06     0.05     0.27 1.00
## hincfel2good                      0.07      0.06    -0.05     0.18 1.00
## hincsrca2stateaid                 0.13      0.08    -0.03     0.28 1.00
## socialistoldsocialist            -0.34      0.13    -0.59    -0.08 1.00
## socialistsocialist               -0.15      0.09    -0.33     0.03 1.00
## votgovvoted                       0.18      0.06     0.06     0.30 1.00
## ppltrstc                          0.70      0.05     0.60     0.80 1.00
## gincdifc                         -0.04      0.05    -0.13     0.06 1.00
## freehmsc                         -0.06      0.05    -0.15     0.04 1.00
## ipeqoptc                          0.10      0.05     0.00     0.20 1.00
## impfreec                         -0.12      0.05    -0.22    -0.02 1.00
## stfdemc:stfgovc                   0.02      0.11    -0.20     0.24 1.00
## stfgovc:outcomec                  0.02      0.11    -0.18     0.23 1.00
##                               Bulk_ESS Tail_ESS
## Intercept                        17340    23325
## stfdemc                          29943    28630
## stfgovc                          29137    28616
## outcomec                         29595    29165
## ageac                            27529    29230
## gndrfemale                       29984    29396
## class5LowerMgradeserviceclass    27409    29313
## class5Smallbusinessowners        28556    28963
## class5Skilledworkers             27668    28683
## class5Unskilledworkers           27989    29083
## eduyrsc                          28860    29473
## hincfel2good                     28844    28409
## hincsrca2stateaid                29277    29413
## socialistoldsocialist            27578    28093
## socialistsocialist               26584    29050
## votgovvoted                      29106    29349
## ppltrstc                         29692    28595
## gincdifc                         28740    27552
## freehmsc                         29934    29507
## ipeqoptc                         28745    30265
## impfreec                         29526    29015
## stfdemc:stfgovc                  29504    29084
## stfgovc:outcomec                 29749    28628
## 
## Family Specific Parameters: 
##       Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
## sigma     1.46      0.03     1.41     1.51 1.00    29247    29167
## nu        8.80      1.07     7.01    11.17 1.00    28753    29272
## 
## 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: cee18 (Number of observations: 4680) 
##   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)     0.40      0.08     0.27     0.57 1.00    23628    28102
## 
## Population-Level Effects: 
##                               Estimate Est.Error l-95% CI u-95% CI Rhat
## Intercept                         4.43      0.13     4.17     4.69 1.00
## stfdemc                           0.92      0.07     0.79     1.06 1.00
## stfgovc                           1.32      0.07     1.18     1.46 1.00
## outcomec                          0.40      0.07     0.27     0.53 1.00
## ageac                             0.25      0.13    -0.01     0.51 1.00
## gndrfemale                       -0.01      0.05    -0.11     0.08 1.00
## class5LowerMgradeserviceclass     0.11      0.09    -0.06     0.27 1.00
## class5Smallbusinessowners        -0.11      0.10    -0.31     0.09 1.00
## class5Skilledworkers              0.01      0.08    -0.14     0.17 1.00
## class5Unskilledworkers           -0.06      0.09    -0.24     0.12 1.00
## eduyrsc                           0.16      0.06     0.05     0.27 1.00
## hincfel2good                      0.07      0.06    -0.05     0.18 1.00
## hincsrca2stateaid                 0.13      0.08    -0.02     0.28 1.00
## socialistoldsocialist            -0.32      0.13    -0.58    -0.07 1.00
## socialistsocialist               -0.14      0.09    -0.32     0.04 1.00
## votgovvoted                       0.18      0.06     0.06     0.30 1.00
## ppltrstc                          0.70      0.05     0.60     0.80 1.00
## gincdifc                         -0.04      0.05    -0.13     0.06 1.00
## freehmsc                         -0.06      0.05    -0.15     0.04 1.00
## ipeqoptc                          0.10      0.05     0.00     0.20 1.00
## impfreec                         -0.12      0.05    -0.22    -0.01 1.00
## rankgm                            0.01      0.18    -0.35     0.38 1.00
## neggm                            -0.62      0.24    -1.10    -0.14 1.00
## gincdifgm                         0.57      0.26     0.05     1.08 1.00
## impfreegm                        -0.05      0.20    -0.44     0.34 1.00
## ipeqoptgm                        -0.62      0.22    -1.04    -0.18 1.00
## stfdemc:stfgovc                   0.02      0.11    -0.19     0.24 1.00
## stfgovc:outcomec                  0.02      0.11    -0.18     0.23 1.00
##                               Bulk_ESS Tail_ESS
## Intercept                        29272    28664
## stfdemc                          30115    29134
## stfgovc                          29926    28114
## outcomec                         29129    29799
## ageac                            30643    29217
## gndrfemale                       29727    28774
## class5LowerMgradeserviceclass    29535    30020
## class5Smallbusinessowners        29927    29490
## class5Skilledworkers             28038    29218
## class5Unskilledworkers           28683    29637
## eduyrsc                          29828    29246
## hincfel2good                     29739    28900
## hincsrca2stateaid                30111    29112
## socialistoldsocialist            30209    30138
## socialistsocialist               30111    29393
## votgovvoted                      30036    27921
## ppltrstc                         28932    29189
## gincdifc                         29833    29050
## freehmsc                         29912    28976
## ipeqoptc                         29862    29350
## impfreec                         30468    29391
## rankgm                           29171    29315
## neggm                            28458    28798
## gincdifgm                        29065    29022
## impfreegm                        28436    28169
## ipeqoptgm                        29469    29515
## stfdemc:stfgovc                  28809    28013
## stfgovc:outcomec                 28964    29780
## 
## Family Specific Parameters: 
##       Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
## sigma     1.46      0.03     1.41     1.51 1.00    30057    29352
## nu        8.69      1.04     6.96    11.02 1.00    29861    28177
## 
## 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: cee18 (Number of observations: 4680) 
##   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      0.09     0.29     0.64 1.00    24473    26865
## 
## Population-Level Effects: 
##                               Estimate Est.Error l-95% CI u-95% CI Rhat
## Intercept                         4.43      0.14     4.16     4.70 1.00
## stfdemc                           0.92      0.07     0.79     1.05 1.00
## stfgovc                           1.32      0.07     1.18     1.46 1.00
## outcomec                          0.40      0.07     0.27     0.53 1.00
## ageac                             0.25      0.13    -0.01     0.51 1.00
## gndrfemale                       -0.01      0.05    -0.11     0.08 1.00
## class5LowerMgradeserviceclass     0.11      0.09    -0.06     0.27 1.00
## class5Smallbusinessowners        -0.11      0.10    -0.30     0.09 1.00
## class5Skilledworkers              0.01      0.08    -0.14     0.16 1.00
## class5Unskilledworkers           -0.06      0.09    -0.24     0.12 1.00
## eduyrsc                           0.16      0.06     0.05     0.27 1.00
## hincfel2good                      0.07      0.06    -0.05     0.18 1.00
## hincsrca2stateaid                 0.13      0.08    -0.02     0.28 1.00
## socialistoldsocialist            -0.32      0.13    -0.58    -0.07 1.00
## socialistsocialist               -0.14      0.09    -0.32     0.04 1.00
## votgovvoted                       0.18      0.06     0.06     0.30 1.00
## ppltrstc                          0.70      0.05     0.60     0.80 1.00
## gincdifc                         -0.04      0.05    -0.13     0.06 1.00
## freehmsc                         -0.06      0.05    -0.15     0.04 1.00
## ipeqoptc                          0.10      0.05     0.00     0.20 1.00
## impfreec                         -0.12      0.05    -0.22    -0.01 1.00
## gdpngm                           -0.08      0.23    -0.53     0.37 1.00
## uergm                             0.10      0.37    -0.63     0.83 1.00
## yempgm                           -0.19      0.41    -0.99     0.63 1.00
## hhincgm                           0.04      0.26    -0.47     0.55 1.00
## neggm                            -0.58      0.28    -1.14    -0.02 1.00
## gincdifgm                         0.53      0.30    -0.05     1.12 1.00
## impfreegm                        -0.07      0.22    -0.52     0.36 1.00
## ipeqoptgm                        -0.62      0.24    -1.10    -0.14 1.00
## stfdemc:stfgovc                   0.02      0.11    -0.20     0.24 1.00
## stfgovc:outcomec                  0.02      0.11    -0.18     0.23 1.00
##                               Bulk_ESS Tail_ESS
## Intercept                        29389    29523
## stfdemc                          29569    28953
## stfgovc                          29966    29387
## outcomec                         29722    29211
## ageac                            30311    29218
## gndrfemale                       30046    27006
## class5LowerMgradeserviceclass    29796    29345
## class5Smallbusinessowners        29137    29438
## class5Skilledworkers             29331    29309
## class5Unskilledworkers           29748    29596
## eduyrsc                          27934    28329
## hincfel2good                     28965    28018
## hincsrca2stateaid                29246    28715
## socialistoldsocialist            29350    29111
## socialistsocialist               29597    28681
## votgovvoted                      28594    29343
## ppltrstc                         29095    28526
## gincdifc                         28928    28349
## freehmsc                         28946    28918
## ipeqoptc                         29233    29008
## impfreec                         29654    28377
## gdpngm                           29469    29637
## uergm                            28862    29008
## yempgm                           28712    28677
## hhincgm                          29614    28246
## neggm                            28703    28602
## gincdifgm                        28575    28439
## impfreegm                        29236    29418
## ipeqoptgm                        28318    29030
## stfdemc:stfgovc                  29797    28175
## stfgovc:outcomec                 29973    28539
## 
## Family Specific Parameters: 
##       Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
## sigma     1.46      0.03     1.41     1.51 1.00    30492    29576
## nu        8.70      1.05     6.93    11.03 1.00    30818    29081
## 
## 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).