手法を比較

	ロバストなマクドナルドのオメガ	ロバスト確証的因子分析
分野	心理測定学	統計学
系統	Latent structure	Latent structure
提唱年	1999 (omega); robust variant formalized in 2000s–2010s	1984–1994
提唱者	Roderick P. McDonald (omega); robust extension via robust SEM estimators (MLR, DWLS)	Satorra & Bentler (robust SE/chi-square corrections); Browne (ADF estimator)
種類	Reliability coefficient	Confirmatory latent variable model with robust estimation
原典	McDonald, R. P. (1999). Test theory: A unified treatment. Lawrence Erlbaum Associates. ISBN: 978-0805830408	Satorra, A. & Bentler, P. M. (1994). Corrections to test statistics and standard errors in covariance structure analysis. In A. von Eye & C. C. Clogg (Eds.), Latent variables analysis: Applications for developmental research (pp. 399–419). Sage.
別名	robust omega, omega total (robust), robust omega-total, robust composite reliability	Robust CFA, CFA with robust standard errors, Satorra-Bentler CFA, non-normal CFA
関連	4	6
概要	Robust McDonald's omega estimates the internal consistency reliability of a composite scale using factor-analytic loadings obtained through robust estimation methods (such as MLR or DWLS). Unlike standard omega or Cronbach's alpha, it remains accurate when item distributions are non-normal, skewed, or when the sample contains influential outliers — conditions common in applied psychological and educational measurement.	Robust confirmatory factor analysis fits a pre-specified factor structure to observed data while correcting standard errors and goodness-of-fit statistics for violations of multivariate normality. It is the preferred variant of CFA whenever Likert-type, skewed, or kurtotic indicators make the classical normal-theory estimator unreliable.