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مک‌دونالدز اُمگا تطبیق‌یافته برای آزمون تطبیقی کامپیوتری (CAT)×تحلیل عاملی تأییدی (CFA)×
حوزهروان‌سنجیروان‌سنجی
خانوادهLatent structureLatent structure
سال پیدایش1999 (omega); CAT application 2000s–2010s1969
پدیدآورRoderick P. McDonald (omega); CAT-omega application extended by IRT and psychometric reliability researchersKarl Gustav Jöreskog
نوعReliability coefficient for adaptive testsHypothesis-testing latent variable model
منبع بنیادینMcDonald, R. P. (1999). Test Theory: A Unified Treatment. Lawrence Erlbaum Associates. ISBN: 978-0805830408Jöreskog, K. G. (1969). A general approach to confirmatory maximum likelihood factor analysis. Psychometrika, 34(2), 183–202. DOI ↗
نام‌های دیگرCAT omega reliability, omega in adaptive testing, hierarchical omega for CAT, CAT composite reliabilityCFA, confirmatory FA, measurement model, restricted factor analysis
مرتبط54
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.Confirmatory factor analysis tests a researcher-specified factor structure against observed data. Unlike exploratory approaches, the researcher decides in advance which indicators load on which latent factor, and the model is evaluated by how closely the implied covariance matrix reproduces the sample covariance matrix. CFA is central to scale validation, construct validity assessment, and measurement invariance testing.
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ScholarGateمقایسهٔ روش‌ها: CAT McDonald's Omega · Confirmatory factor analysis. بازیابی‌شده در 2026-06-18 از https://scholargate.app/fa/compare