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امگای مک‌دونالد فرم کوتاه×نظریه پاسخ به سنجش (IRT)×
حوزهروان‌سنجیروان‌سنجی
خانوادهLatent structureLatent structure
سال پیدایش1999 (omega); short-form application 1990s–2000s1952–1968
پدیدآورRoderick P. McDonald (omega); short-form application systematised across psychometric literatureFrederic M. Lord (and Allan Birnbaum for the 2PL/3PL models)
نوعReliability coefficient for abbreviated scalesProbabilistic measurement model
منبع بنیادینMcDonald, R. P. (1999). Test theory: A unified treatment. Lawrence Erlbaum Associates. ISBN: 978-0805830750Lord, F. M. & Novick, M. R. (1968). Statistical Theories of Mental Test Scores. Addison-Wesley. link ↗
نام‌های دیگرomega for abbreviated scales, short-scale omega, omega-total short form, abbreviated scale reliabilityIRT, latent trait theory, item characteristic curve theory, modern test theory
مرتبط45
خلاصهShort-form McDonald's omega applies the omega reliability coefficient to abbreviated or shortened versions of psychological scales. It provides a theoretically sound reliability estimate that accounts for the multidimensional structure of the short instrument, enabling researchers to evaluate whether abbreviation has preserved the reliability of the original full-length scale.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: Short-form McDonald's omega · Item Response Theory. بازیابی‌شده در 2026-06-19 از https://scholargate.app/fa/compare