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计算机自适应测验的麦克唐纳Omega系数×项目反应理论 (IRT)×
领域心理测量学心理测量学
方法族Latent structureLatent structure
起源年份1999 (omega); CAT application 2000s–2010s1952–1968
提出者Roderick P. McDonald (omega); CAT-omega application extended by IRT and psychometric reliability researchersFrederic M. Lord (and Allan Birnbaum for the 2PL/3PL models)
类型Reliability coefficient for adaptive testsProbabilistic measurement model
开创性文献McDonald, 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 ↗
别名CAT omega reliability, omega in adaptive testing, hierarchical omega for CAT, CAT composite reliabilityIRT, latent trait theory, item characteristic curve theory, modern test theory
相关55
摘要McDonald'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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ScholarGate方法对比: CAT McDonald's Omega · Item Response Theory. 于 2026-06-19 检索自 https://scholargate.app/zh/compare