Abstract
A general nonlinear structural equation model with mixed continuous and polytomous variables is analysed. A Bayesian approach is proposed to estimate simultaneously the thresholds, the structural parameters and the latent variables. To solve the computational difficulties involved in the posterior analysis, a hybrid Markov chain Monte Carlo method that combines the Gibbs sampler and the Metropolis-Hasting algorithm is implemented to produce the Bayesian solution. Statistical inferences, which involve estimation of parameters and their standard errors, residuals and outliers analyses, and goodness-of-fit statistics for testing the posited model, are discussed. The proposed procedure is illustrated by a simulation study and a real example.
Original language | English (US) |
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Pages (from-to) | 209-232 |
Number of pages | 24 |
Journal | British Journal of Mathematical and Statistical Psychology |
Volume | 53 |
Issue number | 2 |
DOIs | |
State | Published - Nov 2000 |
ASJC Scopus subject areas
- Statistics and Probability
- Arts and Humanities (miscellaneous)
- General Psychology