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This study investigated the consequences of ignoring guessing effects on both model-data fit evaluation and parameter estimation when conducting measurement invariance analysis using multiple-group factor analysis. A simulation study was conducted using 3-parameters logistic item response theory model for data generation. The manipulated factors included distribution of the abilities, the pseudo-guessing parameter values, and sample size. The results showed that when the guessing effect was present, the parameter estimates were biased. However, the fit indices in general indicated a good model-data fit across all three levels of measurement invariance analysis. The results suggest that the model-fit indexes are not useful for detecting model misspecification with respect to the ignorance of guessing parameters in testing measurement invariance.
Ismail Cukadar, Florida State University
Yanyun Yang, Florida State University
Insu Paek, Florida State University