ERIC Number: EJ737251
Record Type: Journal
Publication Date: 2005
Pages: 29
Abstractor: Author
ISBN: N/A
ISSN: ISSN-1076-9986
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Available Date: N/A
A Growth Model for Multilevel Ordinal Data
Segawa, Eisuke
Journal of Educational and Behavioral Statistics, v30 n4 p369-396 Win 2005
Multi-indicator growth models were formulated as special three-level hierarchical generalized linear models to analyze growth of a trait latent variable measured by ordinal items. Items are nested within a time-point, and time-points are nested within subject. These models are special because they include factor analytic structure. This model can analyze not only data with item- and time-level missing observations, but also data with time points freely specified over subjects. Furthermore, features useful for longitudinal analyses, "autoregressive error degree one" structure for the trait residuals and estimated time-scores, were included. The approach is Bayesian with Markov Chain and Monte Carlo, and the model is implemented in WinBUGS. They are illustrated with two simulated data sets and one real data set with planned missing items within a scale. (Contains 4 tables, 1 figure, and 1 note.)
Descriptors: Bayesian Statistics, Mathematical Models, Factor Analysis, Computer Simulation, Computer Software, Monte Carlo Methods, Item Response Theory, Data Analysis
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Publication Type: Journal Articles; Reports - Descriptive
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A
Author Affiliations: N/A