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Makanika ya kompyuta ya Adaptiv ya McDonald Omega×Nadharia ya Itikio la Kipengee (IRT)×
NyanjaSaikometrikiSaikometriki
FamiliaLatent structureLatent structure
Mwaka wa asili1999 (omega); CAT application 2000s–2010s1952–1968
MwanzilishiRoderick P. McDonald (omega); CAT-omega application extended by IRT and psychometric reliability researchersFrederic M. Lord (and Allan Birnbaum for the 2PL/3PL models)
AinaReliability coefficient for adaptive testsProbabilistic measurement model
Chanzo asiliaMcDonald, R. P. (1999). Test Theory: A Unified Treatment. Lawrence Erlbaum Associates. ISBN: 978-0805830408Lord, F. M. & Novick, M. R. (1968). Statistical Theories of Mental Test Scores. Addison-Wesley. link ↗
Majina mbadalaCAT omega reliability, omega in adaptive testing, hierarchical omega for CAT, CAT composite reliabilityIRT, latent trait theory, item characteristic curve theory, modern test theory
Zinazohusiana55
MuhtasariMcDonald's omega adapted for computerized adaptive testing (CAT) quantifies the reliability of ability or trait estimates when different examinees answer different subsets of items. Unlike Cronbach's alpha, omega is grounded in a factor model, making it suitable for the heterogeneous item pools and variable test lengths that characterize adaptive administrations.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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ScholarGateLinganisha mbinu: CAT McDonald's Omega · Item Response Theory. Imepatikana 2026-06-19 kutoka https://scholargate.app/sw/compare