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مک‌دونالدز اُمگا تطبیق‌یافته برای آزمون تطبیقی کامپیوتری (CAT)×نظریه پاسخ به سنجش (IRT)×
حوزهروان‌سنجیروان‌سنجی
خانوادهLatent structureLatent structure
سال پیدایش1999 (omega); CAT application 2000s–2010s1952–1968
پدیدآورRoderick P. McDonald (omega); CAT-omega application extended by IRT and psychometric reliability researchersFrederic M. Lord (and Allan Birnbaum for the 2PL/3PL models)
نوعReliability coefficient for adaptive testsProbabilistic measurement model
منبع بنیادینMcDonald, 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 ↗
نام‌های دیگرCAT omega reliability, omega in adaptive testing, hierarchical omega for CAT, CAT composite reliabilityIRT, latent trait theory, item characteristic curve theory, modern test theory
مرتبط55
خلاصهMcDonald'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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ScholarGateمقایسهٔ روش‌ها: CAT McDonald's Omega · Item Response Theory. بازیابی‌شده در 2026-06-19 از https://scholargate.app/fa/compare