Assessing fit of alternative unidimensional polytomous IRT models using posterior predictive model checking.

2017 ◽  
Vol 22 (2) ◽  
pp. 397-408 ◽  
Author(s):  
Tongyun Li ◽  
Chao Xie ◽  
Hong Jiao
2018 ◽  
Vol 43 (2) ◽  
pp. 125-142 ◽  
Author(s):  
Megan Kuhfeld

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.


Author(s):  
Fränzi Korner-Nievergelt ◽  
Tobias Roth ◽  
Stefanie von Felten ◽  
Jérôme Guélat ◽  
Bettina Almasi ◽  
...  

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