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	Inwariantność pomiaru w skróconych wersjach	Teoria odpowiedzi na pozycje (IRT)
Dziedzina	Psychometria	Psychometria
Rodzina	Latent structure	Latent structure
Rok powstania	2000s	1952–1968
Twórca	Adapted from Vandenberg & Lance (2000) and Millsap & Kwok (2004) invariance framework applied to short-form scales	Frederic M. Lord (and Allan Birnbaum for the 2PL/3PL models)
Typ	Measurement equivalence testing	Probabilistic measurement model
Źródło pierwotne	Millsap, R. E., & Kwok, O. M. (2004). Evaluating the impact of partial factor loading and intercept invariance on selection in two populations. Psychological Methods, 9(1), 93–115.	Lord, F. M. & Novick, M. R. (1968). Statistical Theories of Mental Test Scores. Addison-Wesley.
Inne nazwy	SF-MI, abbreviated scale invariance, short-form factorial invariance, brief measure invariance	IRT, latent trait theory, item characteristic curve theory, modern test theory
Pokrewne	6	5
Podsumowanie	Short form measurement invariance testing evaluates whether an abbreviated version of a psychological scale measures the same latent construct equivalently across groups or conditions. It applies the hierarchical multigroup confirmatory factor analysis invariance sequence — configural, metric, scalar, and strict — specifically to short-form instruments, ensuring that brevity does not introduce measurement bias when comparing subgroups.	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.