2012
\(\nu_0 = 3\), \(\kappa_0 = 0.5\)
Modellübersicht
## BEFA - Bayesian Exploratory Factor Analysis
## Summary of posterior results
##
## Maximum number of factors (Kmax) = 2
## Identification restriction (Nid) = 3
##
## MCMC iterations = 50000
## burn-in period = 5000
##
## Metropolis-Hastings acceptance rate = 1
##
## Posterior frequency of number of latent factors:
## K = 2 100.00%
##
## -----------------------------------------------------------------
## Model parameters
##
## Factor loadings:
##
## dedic prob mean sd [ 95% hpd ]
## alpha:trstplt 1 1 0.919 0.012 0.895 0.944
## alpha:trstprt 1 1 0.903 0.012 0.879 0.928
## alpha:trstprl 1 1 0.870 0.012 0.847 0.894
## alpha:trstplc 1 1 0.623 0.012 0.600 0.646
## alpha:trstlgl 1 1 0.777 0.012 0.753 0.800
## alpha:stfeco 2 1 0.603 0.013 0.578 0.630
## alpha:stfhlth 2 1 0.721 0.013 0.695 0.745
## alpha:stfedu 2 1 0.681 0.013 0.655 0.706
##
## Idiosyncratic variances:
##
## mean sd [ 95% hpd ]
## sigma:trstplt 0.279 0.010 0.259 0.299
## sigma:trstprt 0.307 0.010 0.287 0.327
## sigma:trstprl 0.348 0.010 0.328 0.367
## sigma:trstplc 0.646 0.012 0.623 0.669
## sigma:trstlgl 0.474 0.010 0.454 0.495
## sigma:stfeco 0.666 0.014 0.639 0.694
## sigma:stfhlth 0.506 0.013 0.480 0.532
## sigma:stfedu 0.601 0.014 0.575 0.628
##
## Factor correlation matrix:
##
## mean sd [ 95% hpd ]
## R:1:2 0.59 0.012 0.566 0.614Trace-Plot
Trace-Plot: BEFA 2012
Trace-Plot: BEFA 2012
Autokorrelation-Plot
Autokorrelation-Plot: BEFA 2012
\(\nu_0 = 3\), \(\kappa_0 = 0.7\)
Modellübersicht
## BEFA - Bayesian Exploratory Factor Analysis
## Summary of posterior results
##
## Maximum number of factors (Kmax) = 2
## Identification restriction (Nid) = 3
##
## MCMC iterations = 50000
## burn-in period = 5000
##
## Metropolis-Hastings acceptance rate = 1
##
## Posterior frequency of number of latent factors:
## K = 2 100.00%
##
## -----------------------------------------------------------------
## Model parameters
##
## Factor loadings:
##
## dedic prob mean sd [ 95% hpd ]
## alpha:trstplt 1 1 0.919 0.012 0.895 0.944
## alpha:trstprt 1 1 0.904 0.012 0.879 0.928
## alpha:trstprl 1 1 0.871 0.012 0.847 0.894
## alpha:trstplc 1 1 0.623 0.012 0.600 0.646
## alpha:trstlgl 1 1 0.777 0.012 0.753 0.800
## alpha:stfeco 2 1 0.604 0.013 0.577 0.630
## alpha:stfhlth 2 1 0.721 0.013 0.696 0.746
## alpha:stfedu 2 1 0.681 0.013 0.655 0.706
##
## Idiosyncratic variances:
##
## mean sd [ 95% hpd ]
## sigma:trstplt 0.279 0.010 0.259 0.299
## sigma:trstprt 0.307 0.010 0.287 0.328
## sigma:trstprl 0.348 0.010 0.329 0.367
## sigma:trstplc 0.646 0.012 0.624 0.670
## sigma:trstlgl 0.474 0.011 0.453 0.494
## sigma:stfeco 0.666 0.014 0.637 0.693
## sigma:stfhlth 0.507 0.013 0.480 0.533
## sigma:stfedu 0.601 0.014 0.574 0.628
##
## Factor correlation matrix:
##
## mean sd [ 95% hpd ]
## R:1:2 0.59 0.012 0.566 0.614Trace-Plot
Trace-Plot: BEFA 2012
Trace-Plot: BEFA 2012
Autokorrelation-Plot
Autokorrelation-Plot: BEFA 2012
\(\nu_0 = 3\), \(\kappa_0 = 0.9\)
Modellübersicht
## BEFA - Bayesian Exploratory Factor Analysis
## Summary of posterior results
##
## Maximum number of factors (Kmax) = 2
## Identification restriction (Nid) = 3
##
## MCMC iterations = 70000
## burn-in period = 7000
##
## Metropolis-Hastings acceptance rate = 1
##
## Posterior frequency of number of latent factors:
## K = 2 100.00%
##
## -----------------------------------------------------------------
## Model parameters
##
## Factor loadings:
##
## dedic prob mean sd [ 95% hpd ]
## alpha:trstplt 1 1 0.919 0.012 0.895 0.944
## alpha:trstprt 1 1 0.904 0.012 0.879 0.928
## alpha:trstprl 1 1 0.870 0.012 0.847 0.894
## alpha:trstplc 1 1 0.623 0.012 0.599 0.646
## alpha:trstlgl 1 1 0.777 0.012 0.753 0.800
## alpha:stfeco 2 1 0.604 0.013 0.576 0.629
## alpha:stfhlth 2 1 0.721 0.013 0.696 0.746
## alpha:stfedu 2 1 0.681 0.013 0.655 0.706
##
## Idiosyncratic variances:
##
## mean sd [ 95% hpd ]
## sigma:trstplt 0.279 0.010 0.259 0.299
## sigma:trstprt 0.307 0.010 0.287 0.327
## sigma:trstprl 0.348 0.010 0.328 0.367
## sigma:trstplc 0.646 0.012 0.624 0.670
## sigma:trstlgl 0.474 0.011 0.454 0.495
## sigma:stfeco 0.666 0.014 0.639 0.694
## sigma:stfhlth 0.507 0.013 0.480 0.533
## sigma:stfedu 0.601 0.014 0.574 0.628
##
## Factor correlation matrix:
##
## mean sd [ 95% hpd ]
## R:1:2 0.59 0.012 0.567 0.615Trace-Plot
Trace-Plot: BEFA 2012
Trace-Plot: BEFA 2012
Autokorrelation-Plot
Autokorrelation-Plot: BEFA 2012
2018
\(\nu_0 = 3\), \(\kappa_0 = 0.5\)
Modellübersicht
## BEFA - Bayesian Exploratory Factor Analysis
## Summary of posterior results
##
## Maximum number of factors (Kmax) = 2
## Identification restriction (Nid) = 3
##
## MCMC iterations = 50000
## burn-in period = 5000
##
## Metropolis-Hastings acceptance rate = 1
##
## Posterior frequency of number of latent factors:
## K = 2 100.00%
##
## -----------------------------------------------------------------
## Model parameters
##
## Factor loadings:
##
## dedic prob mean sd [ 95% hpd ]
## alpha:trstplt 1 1 0.887 0.013 0.863 0.912
## alpha:trstprt 1 1 0.871 0.013 0.846 0.895
## alpha:trstprl 1 1 0.842 0.012 0.818 0.866
## alpha:trstplc 1 1 0.631 0.013 0.606 0.655
## alpha:trstlgl 1 1 0.762 0.013 0.738 0.787
## alpha:stfeco 2 1 0.691 0.014 0.664 0.717
## alpha:stfhlth 2 1 0.720 0.013 0.695 0.746
## alpha:stfedu 2 1 0.687 0.014 0.659 0.713
##
## Idiosyncratic variances:
##
## mean sd [ 95% hpd ]
## sigma:trstplt 0.312 0.011 0.291 0.334
## sigma:trstprt 0.332 0.011 0.311 0.354
## sigma:trstprl 0.373 0.011 0.353 0.394
## sigma:trstplc 0.621 0.013 0.597 0.646
## sigma:trstlgl 0.474 0.011 0.452 0.497
## sigma:stfeco 0.563 0.014 0.536 0.591
## sigma:stfhlth 0.495 0.014 0.468 0.522
## sigma:stfedu 0.600 0.014 0.572 0.628
##
## Factor correlation matrix:
##
## mean sd [ 95% hpd ]
## R:1:2 0.53 0.013 0.505 0.555Trace-Plot
Trace-Plot: BEFA 2018
Trace-Plot: BEFA 2018
Autokorrelation-Plot
Autokorrelation-Plot: BEFA 2018
\(\nu_0 = 3\), \(\kappa_0 = 0.7\)
Modellübersicht
## BEFA - Bayesian Exploratory Factor Analysis
## Summary of posterior results
##
## Maximum number of factors (Kmax) = 2
## Identification restriction (Nid) = 3
##
## MCMC iterations = 50000
## burn-in period = 5000
##
## Metropolis-Hastings acceptance rate = 1
##
## Posterior frequency of number of latent factors:
## K = 2 100.00%
##
## -----------------------------------------------------------------
## Model parameters
##
## Factor loadings:
##
## dedic prob mean sd [ 95% hpd ]
## alpha:trstplt 1 1 0.887 0.013 0.863 0.912
## alpha:trstprt 1 1 0.871 0.013 0.846 0.896
## alpha:trstprl 1 1 0.841 0.012 0.818 0.866
## alpha:trstplc 1 1 0.631 0.013 0.607 0.656
## alpha:trstlgl 1 1 0.762 0.012 0.738 0.786
## alpha:stfeco 2 1 0.691 0.013 0.664 0.717
## alpha:stfhlth 2 1 0.720 0.013 0.695 0.746
## alpha:stfedu 2 1 0.687 0.014 0.660 0.714
##
## Idiosyncratic variances:
##
## mean sd [ 95% hpd ]
## sigma:trstplt 0.312 0.011 0.291 0.334
## sigma:trstprt 0.332 0.011 0.311 0.354
## sigma:trstprl 0.373 0.011 0.352 0.394
## sigma:trstplc 0.621 0.013 0.596 0.645
## sigma:trstlgl 0.474 0.011 0.452 0.496
## sigma:stfeco 0.563 0.014 0.536 0.590
## sigma:stfhlth 0.495 0.014 0.468 0.521
## sigma:stfedu 0.600 0.014 0.572 0.628
##
## Factor correlation matrix:
##
## mean sd [ 95% hpd ]
## R:1:2 0.53 0.013 0.505 0.555Trace-Plot
Trace-Plot: BEFA 2018
Trace-Plot: BEFA 2018
Autokorrelation-Plot
Autokorrelation-Plot: BEFA 2018
\(\nu_0 = 3\), \(\kappa_0 = 0.9\)
Modellübersicht
## BEFA - Bayesian Exploratory Factor Analysis
## Summary of posterior results
##
## Maximum number of factors (Kmax) = 2
## Identification restriction (Nid) = 3
##
## MCMC iterations = 50000
## burn-in period = 5000
##
## Metropolis-Hastings acceptance rate = 1
##
## Posterior frequency of number of latent factors:
## K = 2 100.00%
##
## -----------------------------------------------------------------
## Model parameters
##
## Factor loadings:
##
## dedic prob mean sd [ 95% hpd ]
## alpha:trstplt 1 1 0.887 0.013 0.863 0.912
## alpha:trstprt 1 1 0.871 0.013 0.846 0.895
## alpha:trstprl 1 1 0.842 0.012 0.817 0.865
## alpha:trstplc 1 1 0.631 0.012 0.607 0.656
## alpha:trstlgl 1 1 0.762 0.012 0.738 0.787
## alpha:stfeco 2 1 0.691 0.013 0.665 0.717
## alpha:stfhlth 2 1 0.720 0.013 0.694 0.746
## alpha:stfedu 2 1 0.687 0.014 0.660 0.713
##
## Idiosyncratic variances:
##
## mean sd [ 95% hpd ]
## sigma:trstplt 0.312 0.011 0.291 0.334
## sigma:trstprt 0.332 0.011 0.311 0.353
## sigma:trstprl 0.373 0.011 0.352 0.394
## sigma:trstplc 0.621 0.013 0.597 0.645
## sigma:trstlgl 0.474 0.011 0.453 0.497
## sigma:stfeco 0.563 0.014 0.536 0.590
## sigma:stfhlth 0.495 0.014 0.468 0.521
## sigma:stfedu 0.600 0.014 0.573 0.628
##
## Factor correlation matrix:
##
## mean sd [ 95% hpd ]
## R:1:2 0.53 0.013 0.504 0.555Trace-Plot
Trace-Plot: BEFA 2018
Trace-Plot: BEFA 2018
Autokorrelation-Plot
Autokorrelation-Plot: BEFA 2018
Copyright: 
Benedikt Philipp Kleer, 2022 (Online-Appendix zur Promotion, eingereicht am 14. September 2022, Fachbereich 03, Justus-Liebig-Universität Gießen).