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Utility of the Mantel-Haenszel procedure for detecting differential item functioning in small samples

机译:Mantel-Haenszel程序用于检测小样本中差异项功能的实用程序

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摘要

Sample-size restrictions limit the contingency table approaches based on asymptotic distributions, such as the Mantel-Haenszel (MH) procedure, for detecting differential item functioning (DIF) in many practical applications. Within this framework, the present study investigated the power and Type I error performance of empirical and inferential criteria for DIF detection in small samples. Sample sizes (50/50, 100/50, 200/50, and 100/100 for the reference and focal groups, respectively), ability distributions (equal and unequal), and amount of DIF (moderate and high) were manipulated. The results show the advantages of employing the MH chi-square statistic using high levels of significance (alpha = .20) as opposed to the empirical criteria (cutoffs for categorizing DIF based on the magnitude of the MH common odds ratio estimator and the standardized p-difference statistic). Some considerations concerning Type I and Type II errors are made.
机译:样本大小的限制限制了基于渐近分布的列联表方法,例如Mantel-Haenszel(MH)程序,用于在许多实际应用中检测差异项功能(DIF)。在此框架内,本研究调查了小样本中DIF检测的经验和推论标准的功效和I类错误性能。操作样本大小(参考组和焦点组分别为50 / 50、100 / 50、200 / 50和100/100),能力分布(相等和不相等)和DIF量(中等和较高)。结果表明,与经验标准(基于MH公共优势比估计量和标准p的大小对DIF进行分类的临界值)相比,采用具有高水平显着性(alpha = .20)的MH卡方统计量的优势-差异统计)。进行了有关I型和II型错误的一些考虑。

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