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Differential Item Functioning in Educational Testing×Item Response Theory×
FieldEducationPsychometrics
FamilyLatent structureLatent structure
Year of origin19931952–1968
OriginatorEducational measurement / test-fairness tradition (Holland, Wainer, Dorans, Thissen)Frederic M. Lord (and Allan Birnbaum for the 2PL/3PL models)
TypeTest-fairness analysis detecting items that function differently across groupsProbabilistic measurement model
Seminal sourceHolland, P. W., & Wainer, H. (Eds.). (1993). Differential Item Functioning. Lawrence Erlbaum Associates. ISBN: 9780805809725Lord, F. M. & Novick, M. R. (1968). Statistical Theories of Mental Test Scores. Addison-Wesley. link ↗
AliasesEducational DIF Analysis, Item Bias Detection in Tests, Test Fairness DIF, Mantel-Haenszel DIFIRT, latent trait theory, item characteristic curve theory, modern test theory
Related45
SummaryDifferential item functioning (DIF) analysis is the central statistical tool for evaluating the fairness of test items in education. An item shows DIF when examinees of equal ability but different group membership — for example by gender, race/ethnicity, or language background — have unequal probabilities of answering it correctly. By conditioning on ability before comparing groups, DIF analysis separates genuine item bias from real group differences in proficiency, and flags items for expert review before they affect high-stakes decisions.Item response theory models the probability that a respondent answers an item correctly (or endorses it) as a function of the respondent's latent trait level and the item's own statistical properties — difficulty, discrimination, and guessing. Unlike classical test theory, IRT places persons and items on the same scale, yielding measurement that is sample-independent for items and test-independent for persons.
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