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Cronbachs Alpha für Kurzformen×Item Response Theory (IRT)×
FachgebietPsychometriePsychometrie
FamilieLatent structureLatent structure
Entstehungsjahr1951 (alpha); short-form practice codified 1980s–2000s1952–1968
UrheberL. J. Cronbach (alpha); short-form application formalized across scale-abbreviation literatureFrederic M. Lord (and Allan Birnbaum for the 2PL/3PL models)
TypInternal consistency reliability coefficientProbabilistic measurement model
Wegweisende QuelleSmith, G. T., McCarthy, D. M. & Anderson, K. G. (2000). On the sins of short-form development. Psychological Assessment, 12(1), 102–111. DOI ↗Lord, F. M. & Novick, M. R. (1968). Statistical Theories of Mental Test Scores. Addison-Wesley. link ↗
Aliasnamenabbreviated scale alpha, brief scale internal consistency, short-scale Cronbach's alpha, reduced-item alphaIRT, latent trait theory, item characteristic curve theory, modern test theory
Verwandt45
ZusammenfassungShort-form Cronbach's alpha quantifies the internal consistency reliability of an abbreviated version of a psychological scale. It applies Cronbach's alpha formula to a reduced item set, verifying that the shortened instrument retains sufficient reliability to support valid score interpretation in research and applied contexts.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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ScholarGateMethoden vergleichen: Short-form Cronbach's alpha · Item Response Theory. Abgerufen am 2026-06-19 von https://scholargate.app/de/compare