Сравнение методов

	Порядковый дифференциальный функциональный анализ элементов (Ordinal DIF)	Теория отклика на задания (IRT)
Область	Психометрия	Психометрия
Семейство	Latent structure	Latent structure
Год появления	1999-2001	1952–1968
Автор метода	Zumbo (logistic extension) and Penfield (Mantel generalization)	Frederic M. Lord (and Allan Birnbaum for the 2PL/3PL models)
Тип	Item bias detection for ordered-category items	Probabilistic measurement model
Основополагающий источник	Zumbo, B. D. (1999). A handbook on the theory and methods of differential item functioning (DIF): Logistic regression modeling as a unitary framework for binary and Likert-type (ordinal) item scores. Ottawa: Directorate of Human Resources Research and Evaluation, Department of National Defense.	Lord, F. M. & Novick, M. R. (1968). Statistical Theories of Mental Test Scores. Addison-Wesley.
Другие названия	ordinal DIF, polytomous DIF, DIF for ordered categories, ordinal logistic DIF	IRT, latent trait theory, item characteristic curve theory, modern test theory
Связанные	6	5
Сводка	Ordinal differential item functioning analysis detects whether an ordered-category item (such as a Likert-scale question) functions differently across demographic or cultural groups after controlling for the latent trait being measured. It extends classical binary DIF methods to polytomous response formats common in psychological and educational scales.	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.