手法を比較

	ロバスト構造方程式モデリング	ロバスト確証的因子分析
分野	統計学	統計学
系統	Latent structure	Latent structure
提唱年	1994	1984–1994
提唱者	Albert Satorra & Peter M. Bentler	Satorra & Bentler (robust SE/chi-square corrections); Browne (ADF estimator)
種類	Latent variable / path model with robust inference	Confirmatory latent variable model with robust estimation
原典	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 (pp. 399–419). Sage.	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 SEM, SEM with robust standard errors, Satorra-Bentler SEM, non-normal SEM	Robust CFA, CFA with robust standard errors, Satorra-Bentler CFA, non-normal CFA
関連	5	6
概要	Robust structural equation modeling (Robust SEM) applies the full SEM framework — simultaneous estimation of measurement and structural relations among latent variables — while using corrected test statistics and sandwich standard errors that remain valid when observed data depart from multivariate normality. The Satorra-Bentler scaled chi-square is the most widely used correction.	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.