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1993•Applied Psychological MeasurementOpen access

Detection of Differential Item Functioning in the Graded Response Model

Allan S. Cohen, Seock‐Ho Kim, Frank B. Baker

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Abstract

Methods for detecting differential item func tioning (DIF) have been proposed primarily for the item response theory dichotomous response model. Three measures of DIF for the dichotomous response model are extended to include Samejima's graded response model: two measures based on area differences between item true score functions, and a χ 2 statistic for comparing differences in item parameters. An illustrative example is presented.

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What this paper is about

Methods for detecting differential item func tioning (DIF) have been proposed primarily for the item response theory dichotomous response model. Three measures of DIF for the dichotomous response model are extended to include Samejima's graded response model: two measures based on area differences between item true score functions, and a χ 2 statistic for comparing differences in item parameters. An illustrative example is presented.

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Available abstract

Methods for detecting differential item func tioning (DIF) have been proposed primarily for the item response theory dichotomous response model. Three measures of DIF for the dichotomous response model are extended to include Samejima's graded response model: two measures based on area differences between item true score functions, and a χ 2 statistic for comparing differences in item parameters. An illustrative example is presented.

Key concepts: Differential item functioning, Item response theory, Statistic, Statistics, Differential (mechanical device), Mathematics, Polytomous Rasch model, Psychometrics

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