Assessing Heterogeneity for Factor Analysis Model with Continuous and Ordinal Outcomes
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-03-30
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
Factor analysis models with continuous and ordinal responses are a useful tool for assessing relations between the latent variables and mixed observed responses.
These models have been successfully applied to many different fields, including behavioral, educational, and social-psychological sciences.
However, within the Bayesian analysis framework, most developments are constrained within parametric families, of which the particular distributions are specified for the parameters of interest.
This leads to difficulty in dealing with outliers and/or distribution deviations.
In this paper, we propose a Bayesian semiparametric modeling for factor analysis model with continuous and ordinal variables.
A truncated stick-breaking prior is used to model the distributions of the intercept and/or covariance structural parameters.
Bayesian posterior analysis is carried out through the simulation-based method.
Blocked Gibbs sampler is implemented to draw observations from the complicated posterior.
For model selection, the logarithm of pseudomarginal likelihood is developed to compare the competing models.
Empirical results are presented to illustrate the application of the methodology.
American Psychological Association (APA)
Xia, Ye-mao& Gou, Jian-Wei. 2016. Assessing Heterogeneity for Factor Analysis Model with Continuous and Ordinal Outcomes. Journal of Applied Mathematics،Vol. 2016, no. 2016, pp.1-12.
https://search.emarefa.net/detail/BIM-1107185
Modern Language Association (MLA)
Xia, Ye-mao& Gou, Jian-Wei. Assessing Heterogeneity for Factor Analysis Model with Continuous and Ordinal Outcomes. Journal of Applied Mathematics No. 2016 (2016), pp.1-12.
https://search.emarefa.net/detail/BIM-1107185
American Medical Association (AMA)
Xia, Ye-mao& Gou, Jian-Wei. Assessing Heterogeneity for Factor Analysis Model with Continuous and Ordinal Outcomes. Journal of Applied Mathematics. 2016. Vol. 2016, no. 2016, pp.1-12.
https://search.emarefa.net/detail/BIM-1107185
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1107185