Goodness of Fit in Item Response Models

Roderick P. McDonald · Magdalena Mo Ching Mok

99 citations0/0 files storedMultivariate Behavioral Research

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Psychometric Methodologies and Testing Educational Assessment and Pedagogy Statistical Methods and Bayesian Inference

Abstract

It is shown that goodness-of-fit criteria developed for the evaluation of multivariate structural models can be applied to assist in evaluating the dimensionality of a test consisting of binary items, and correlative methods regularly employed in factor analysis can be used to diagnose causes of misfit.

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References

1992Alternative Ways of Assessing Model Fit 1990Comparative fit indexes in structural models.1990Structural Model Evaluation and Modification: An Interval Estimation Approach 1981Marginal Maximum Likelihood Estimation of Item Parameters: Application of an EM Algorithm 1990Choosing a multivariate model: Noncentrality and goodness of fit.1985Methodology Review: Assessing Unidimensionality of Tests and ltenls 1970Fitting a Response Model for n Dichotomously Scored Items 1981The dimensionality of tests and items

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2009Posterior Predictive Model Checking for Multidimensionality in Item Response Theory 2013TAM: Test Analysis Modules 2011Target Rotations and Assessing the Impact of Model Violations on the Parameters of Unidimensional Item Response Theory Models 2015The selection of cognitive diagnostic models for a reading comprehension test 2019Diagnostic Classification Models: Recent Developments, Practical Issues, and Prospects

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