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Differential Distractor Functioning×문항 반응 이론 (IRT)×
분야Education심리측정학
계열Latent structureLatent structure
기원 연도20081952–1968
창시자Item-bias methodology (Green, Crone & Folk; Penfield)Frederic M. Lord (and Allan Birnbaum for the 2PL/3PL models)
유형Group-difference analysis of the incorrect options (distractors) of multiple-choice itemsProbabilistic measurement model
원전Penfield, R. D. (2008). An odds ratio approach for assessing differential distractor functioning effects under the nominal response model. Journal of Educational Measurement, 45(3), 247–269. DOI ↗Lord, F. M. & Novick, M. R. (1968). Statistical Theories of Mental Test Scores. Addison-Wesley. link ↗
별칭DDF, Distractor-Level DIF, Differential Option Functioning, Distractor Functioning AnalysisIRT, latent trait theory, item characteristic curve theory, modern test theory
관련45
요약Differential distractor functioning (DDF) extends test-fairness analysis from the correct answer to the wrong ones. It asks whether examinees of equal ability but different group membership are differentially attracted to particular distractors (incorrect options) of a multiple-choice item. By analyzing option-level rather than just right/wrong responses, DDF can detect bias that ordinary differential item functioning misses and, crucially, help explain why an item functions differently — pointing to the specific wrong option luring one group. Penfield's odds-ratio approach under the nominal response model is a standard tool.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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