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ERIC Number: ED372097
Record Type: Non-Journal
Publication Date: 1994-Apr
Pages: 27
Abstractor: N/A
Reference Count: N/A
The Performance of the Mantel-Haenszel DIF Statistic When Comparison Group Distributions Are Incongruent.
Pommerich, Mary; And Others
The functioning of two population-based Mantel-Haenszel (MH) common-odds ratios was compared. One ratio is conditioned on the observed test score, while the other is conditioned on a latent trait or true ability score. When the comparison group distributions are incongruent or nonoverlapping to some degree, the observed score represents different levels of latent ability across the comparison groups, raising a question as to the effectiveness of observed score matching under conditions that could influence performance of the MH statistic in the identification of differential item functioning (DIF). The current study varies from typical simulation methodology in that the sample sizes are assumed to be infinite, and the observed score MH common-odds ratio is computed from the expected cell frequencies of the 2x2 contingency tables. A MH common-odds ratio based on latent ability is computed to define a measure of true DIF. Under all conditions examined, the observed score MH performed similarly to the latent ability MH. This provides reassurance in conditioning on the observed score when the MH statistic is applied to large finite samples with comparison groups that are not completely overlapping. Two figures and five tables are included. (Contains 6 references.) (SLD)
Publication Type: Reports - Research; Speeches/Meeting Papers
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A