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Assessing The Model Fit Of Multidimensional Item Response Theory Models With Polytomous Responses Using Limited-Information Statistics, Caihong Rosina Li

Theses and Dissertations--Education Sciences

Under item response theory, three types of limited information goodness-of-fit test statistics – M₂, M_ord, and C₂ – have been proposed to assess model-data fit when data are sparse. However, the evaluation of the performance of these GOF statistics under multidimensional item response theory (MIRT) models with polytomous data is limited. The current study showed that M₂ and C₂ were well-calibrated under true model conditions and were powerful under misspecified model conditions. M_ord were not well-calibrated when the number of response categories was more than three. RMSEA₂ and RMSEA_C2 are …