Article2003

Applying the Liu‐Agresti Estimator of the Cumulative Common Odds Ratio to DIF Detection in Polytomous Items

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Psychometric Methodologies and Testing Statistics Education and Methodologies Statistical Methods and Bayesian Inference

Abstract

Liu and Agresti (1996) proposed a Mantel and Haenszel‐type (1959) estimator of a common odds ratio for several 2 × J tables, where the J columns are ordinal levels of a response variable. This article applies the Liu‐Agresti estimator to the case of assessing differential item functioning (DIF) in items having an ordinal response variable. A simulation study was conducted to investigate the accuracy of the Liu‐Agresti estimator in relation to other statistical DIF detection procedures. The results of the simulation study indicate that the Liu‐Agresti estimator is a viable alternative to other DIF detection statistics.

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References

2012Applications of Item Response Theory To Practical Testing Problems 1982A Rasch Model for Partial Credit Scoring 1968ESTIMATION OF LATENT ABILITY USING A RESPONSE PATTERN OF GRADED SCORES1 1997Handbook of Modern Item Response Theory 1969Estimation of Latent Ability Using a Response Pattern of Graded Scores 1994Differential Item Functioning.1992A Generalized Partial Credit Model: Application of an EM Algorithm 1990Detecting Differential Item Functioning Using Logistic Regression Procedures

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2017Are There Gender Differences in Emotion Comprehension? Analysis of the Test of Emotion Comprehension 2007Assessing Differential Step Functioning in Polytomous Items Using a Common Odds Ratio Estimator 2017Gender-based Differential Item Functioning in the Application of the Theory of Planned Behavior for the Study of Entrepreneurial Intentions 2007An Approach for Categorizing DIF in Polytomous Items 2014A comparison of three methods of assessing differential item functioning (DIF) in the Hospital Anxiety Depression Scale: ordinal logistic regression, Rasch analysis and the Mantel chi-square procedure

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