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Korelacja punktowo-biseralna×Teoria odpowiedzi na pozycje (IRT)×
DziedzinaStatystykaPsychometria
RodzinaHypothesis testLatent structure
Rok powstania19541952–1968
TwórcaRobert F. TateFrederic M. Lord (and Allan Birnbaum for the 2PL/3PL models)
TypParametric correlation coefficientProbabilistic measurement model
Źródło pierwotneTate, R. F. (1954). Correlation between a discrete and a continuous variable. Point-biserial correlation. Annals of Mathematical Statistics, 25(3), 603–607. DOI ↗Lord, F. M. & Novick, M. R. (1968). Statistical Theories of Mental Test Scores. Addison-Wesley. link ↗
Inne nazwyrpb, r_pb, point biserial r, item-total correlationIRT, latent trait theory, item characteristic curve theory, modern test theory
Pokrewne45
PodsumowanieThe point-biserial correlation coefficient (r_pb) measures the strength and direction of the linear association between one naturally dichotomous variable (coded 0/1) and one continuous variable. It is a special case of the Pearson product-moment correlation formally derived by Tate (1954) in the Annals of Mathematical Statistics and is the standard index used in psychometric item analysis, validity studies, and any research context where a binary grouping variable is related to a continuous outcome.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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ScholarGatePorównaj metody: Point-Biserial Correlation · Item Response Theory. Pobrano 2026-06-18 z https://scholargate.app/pl/compare