ERIC Number: EJ720517
Record Type: Journal
Publication Date: 2005-Sep
Reference Count: 32
Constant Latent Odds-Ratios Models and the Mantel-Haenszel Null Hypothesis
Hessen, David J.
Psychometrika, v70 n3 p497-516 Sep 2005
In the present paper, a new family of item response theory (IRT) models for dichotomous item scores is proposed. Two basic assumptions define the most general model of this family. The first assumption is local independence of the item scores given a unidimensional latent trait. The second assumption is that the odds-ratios for all item-pairs are constant functions of the latent trait. Since the latter assumption is characteristic of the whole family, the models are called constant latent odds-ratios (CLORs) models. One nonparametric special case and three parametric special cases of the general CLORs model are shown to be generalizations of the one-parameter logistic Rasch model. For all CLORs models, the total score (the unweighted sum of the item scores) is shown to be a sufficient statistic for the latent trait. In addition, conditions under the general CLORs model are studied for the investigation of differential item functioning (DIF) by means of the Mantel-Haenszel procedure.
Descriptors: Item Response Theory, Scores, Test Items, Models, Evaluation Methods, Statistical Analysis, Nonparametric Statistics, Test Bias
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Publication Type: Journal Articles; Reports - Descriptive
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