A Posterior Predictive Model Checking Method Assuming Posterior Normality for Item Response Theory

Applied Psychological Measurement
Megan Kuhfeld

Abstract

This study investigated the violation of local independence assumptions within unidimensional item response theory (IRT) models. Bayesian posterior predictive model checking (PPMC) methods are increasingly being used to investigate multidimensionality in IRT models. The current work proposes a PPMC method for evaluating local dependence in IRT models that are estimated using full-information maximum likelihood. The proposed approach, which was termed as "PPMC assuming posterior normality" (PPMC-N), provides a straightforward method to account for parameter uncertainty in model fit assessment. A simulation study demonstrated the comparability of the PPMC-N and the Bayesian PPMC approach in the detection of local dependence in dichotomous IRT models.

References

Apr 16, 2011·The British Journal of Mathematical and Statistical Psychology·Roy Levy, Dubravka Svetina

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Citations

Sep 4, 2020·Applied Psychological Measurement·Wenhao Wang, Neal Kingston

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Software Mentioned

PIAT
PPMC
R
flexMIRT
WinBUGS
IRT

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