Abstract
The main objective of this paper is to investigate the application of the EM algorithm for obtaining a Bayesian estimate of the factor score in a factor analysis model with polytomous data. The posterior distribution of the latent factor score given the manifest continuous or polytomous observations is derived, and then the EM algorithm is utilized to find the posterior mode estimate of the distribution. It is shown that both the E‐step and the M‐step of the algorithm are very simple. An expression for the covariance matrix of the posterior distribution is derived. Results of a simulation study are presented to illustrate some properties of the estimate and the EM algorithm.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: British Journal of Mathematical and Statistical Psychology
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
