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ضریب پایایی امگا (ω) مک‌دونالد×تحلیل عاملی تأییدی (CFA)×آلفای کرونباخ (تحلیل پایایی)×
حوزهروان‌سنجیآمارآمار
خانوادهLatent structureLatent structureLatent structure
سال پیدایش199919691951
پدیدآورRoderick P. McDonaldKarl JöreskogLee J. Cronbach
نوعReliability coefficient / latent variable modelConfirmatory latent variable modelReliability / internal consistency coefficient
منبع بنیادینMcDonald, R. P. (1999). Test Theory: A Unified Treatment. Lawrence Erlbaum Associates. ISBN: 978-0805830750Brown, T. A. (2015). Confirmatory Factor Analysis for Applied Research (2nd ed.). The Guilford Press. ISBN: 978-1462515363Cronbach, L. J. (1951). Coefficient alpha and the internal structure of tests. Psychometrika, 16(3), 297–334. DOI ↗
نام‌های دیگرomega reliability, ω coefficient, omega total, omega hierarchicalDoğrulayıcı Faktör Analizi (CFA), confirmatory factor analysis, measurement modelcoefficient alpha, alpha reliability, internal consistency reliability, Güvenilirlik Analizi (Cronbach Alpha)
مرتبط644
خلاصهMcDonald's omega is a factor-analysis-based reliability coefficient introduced by Roderick P. McDonald (1999) that quantifies the internal consistency of a composite score without requiring the restrictive assumption that all items contribute equally to the latent factor. It yields two complementary indices: ω_total, which captures overall reliability of the sum score, and ω_hierarchical (ωh), which reports how much of the composite's variance is explained specifically by a single general factor.Confirmatory factor analysis tests whether a researcher-specified factor structure fits the observed data. Formalised by Karl Jöreskog in 1969, it is the measurement-model step within structural equation modelling and is the standard tool for validating the factorial structure of scales and questionnaires before comparing groups or estimating latent relationships.Cronbach's alpha is a coefficient of internal consistency that quantifies the degree to which a set of items on a scale measures the same underlying construct. Introduced by Lee J. Cronbach in 1951, it remains the most widely reported reliability index in social-science, health, and educational research.
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ScholarGateمقایسهٔ روش‌ها: McDonald's Omega · CFA · Cronbach's Alpha. بازیابی‌شده در 2026-06-18 از https://scholargate.app/fa/compare