A Monte Carlo Investigation of Several Person and Item Fit Statistics for Item Response Models

Diagnosing item score patterns on a test using item response theory-based person-fit statistics.

Person-fit statistics have been proposed to investigate the fit of an item score pattern to an item response theory (IRT) model. The author investigated how these statistics can be used to detect different types of misfit. Intelligence test data were analyzed using person-fit statistics in the context of the G. Rasch (1960) model and R. J. Mokken's (1971, 1997) IRT models. The effect of the cho...

Assessing parameter invariance in item response theory’s logistic two item parameter model: A Monte Carlo investigation

Statistical properties of the ability level estimate ( ) in item response theory (IRT) were investigated through a Monte Carlo investigation, based on data generated with a four cases multifactor design. Dichotomous items and the logistic two-parameter IRT model in a one-dimensional setting have been chosen. The estimation procedure was the marginalized Bayesian item parameters estimation and E...

e 2 A Bayesian Approach to Person Fit 71 - Analysis in Item Response LT - ' Theory Models

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A Bayesian Nonparametric Model Fit statistic of Item Response Models

Goodness-of-Fit Assessment of Item Response Theory Models

The article provides an overview of goodness-of-fit assessment methods for item response theory (IRT) models. It is now possible to obtain accurate p-values of the overall fit of the model if bivariate information statistics are used. Several alternative approaches are described. As the validity of inferences drawn on the fitted model depends on the magnitude of the misfit, if the model is reje...