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신뢰도 분석 (Ordinal Reliability Analysis)×McDonald's Omega Hierarchical (ωh)×
분야심리측정학심리측정학
계열Latent structureLatent structure
기원 연도20071999
창시자Bruno D. Zumbo and colleaguesRoderick P. McDonald
유형Internal consistency reliability estimationReliability / composite score validity coefficient
원전Zumbo, B. D., Gadermann, A. M. & Zeisser, C. (2007). Ordinal versions of coefficients alpha and theta as measures of internal consistency for Likert rating scales. Journal of Modern Applied Statistical Methods, 6(1), 21–29. DOI ↗Reise, S. P., Scheines, R., Widaman, K. F. & Haviland, M. G. (2013). Multidimensionality and structural coefficient bias in structural equation modeling: A bifactor perspective. Educational and Psychological Measurement, 73(1), 5–26. DOI ↗
별칭ordinal alpha, polychoric reliability, reliability for ordinal scales, ORAomega hierarchical, omega-h, bifactor omega, composite score validity coefficient
관련55
요약Ordinal reliability analysis estimates the internal consistency of scales whose items are measured on ordered-category (Likert-type) response formats. By basing computations on polychoric correlations rather than Pearson correlations, it corrects for the attenuation that standard Cronbach's alpha produces when responses are discrete and non-normal.McDonald's hierarchical omega (ωh) is a coefficient derived from a bifactor confirmatory factor model that quantifies what proportion of total-score variance is attributable to a single general factor rather than to group-specific factors or item-level error. Introduced by Roderick P. McDonald (1999) and elaborated for bifactor applications by Reise and colleagues (2013) and Rodriguez and colleagues (2016), it is the primary index used in psychometrics to evaluate whether a composite total score is a defensible summary of a multidimensional scale.
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