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Raykov, Tenko; Doebler, Philipp; Marcoulides, George A. – Measurement: Interdisciplinary Research and Perspectives, 2022
This article is concerned with the large-sample parameter estimator behavior in applications of Bayesian confirmatory factor analysis in behavioral measurement. The property of strong convergence of the popular Bayesian posterior median estimator is discussed, which states numerical convergence with probability 1 of the resulting estimates to the…
Descriptors: Bayesian Statistics, Measurement Techniques, Correlation, Factor Analysis
Leventhal, Brian C.; Stone, Clement A. – Measurement: Interdisciplinary Research and Perspectives, 2018
Interest in Bayesian analysis of item response theory (IRT) models has grown tremendously due to the appeal of the paradigm among psychometricians, advantages of these methods when analyzing complex models, and availability of general-purpose software. Possible models include models which reflect multidimensionality due to designed test structure,…
Descriptors: Bayesian Statistics, Item Response Theory, Models, Psychometrics