Using Past Data to Enhance Small Sample DIF Estimation: A Bayesian Approach
Sandip Sinharay,
Neil J. Dorans,
Mary C. Grant and
Edwin O. Blew
Journal of Educational and Behavioral Statistics, 2009, vol. 34, issue 1, 74-96
Abstract:
Test administrators often face the challenge of detecting differential item functioning (DIF) with samples of size smaller than that recommended by experts. A Bayesian approach can incorporate, in the form of a prior distribution, existing information on the inference problem at hand, which yields more stable estimation, especially for small samples. A large volume of past data is available for many operational tests and such data could be used to establish prior distributions for a Bayesian DIF analysis. This article discusses how to perform such an analysis. The suggested approach is found to be more conservative and preferable with respect to several overall criteria than the existing DIF detection methods in a realistic simulation study.
Keywords: empirical Bayes; loss function; Mantel-Haenszel statistic; prior distribution (search for similar items in EconPapers)
Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:sae:jedbes:v:34:y:2009:i:1:p:74-96
DOI: 10.3102/1076998607309021
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