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ضریب پایایی امگا (ω) مک‌دونالد×تحلیل عاملی تأییدی (CFA)×تحلیل عاملی تأییدی (CFA)×آلفای کرونباخ (تحلیل پایایی)×
حوزهروان‌سنجیآمارروان‌سنجیآمار
خانوادهLatent structureLatent structureLatent structureLatent structure
سال پیدایش1999196919691951
پدیدآورRoderick P. McDonaldKarl JöreskogKarl Gustav JöreskogLee J. Cronbach
نوعReliability coefficient / latent variable modelConfirmatory latent variable modelHypothesis-testing 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: 978-1462515363Jöreskog, K. G. (1969). A general approach to confirmatory maximum likelihood factor analysis. Psychometrika, 34(2), 183–202. DOI ↗Cronbach, 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 modelCFA, confirmatory FA, measurement model, restricted factor analysiscoefficient alpha, alpha reliability, internal consistency reliability, Güvenilirlik Analizi (Cronbach Alpha)
مرتبط6444
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.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.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 · Confirmatory factor analysis · Cronbach's Alpha. بازیابی‌شده در 2026-06-18 از https://scholargate.app/fa/compare