Linganisha mbinu

	Uchambuzi Imara wa Njia	Uchanganuzi Imara wa Kipengele cha Uthibitisho
Nyanja	Takwimu	Takwimu
Familia	Latent structure	Latent structure
Mwaka wa asili	1998	1984–1994
Mwanzilishi	Yuan & Bentler (robust SEM/path framework); Huber (M-estimation foundation)	Satorra & Bentler (robust SE/chi-square corrections); Browne (ADF estimator)
Aina	Causal path modeling with robust estimation	Confirmatory latent variable model with robust estimation
Chanzo asilia	Yuan, K.-H. & Bentler, P. M. (1998). Robust mean and covariance structure analysis. British Journal of Mathematical and Statistical Psychology, 51(1), 63–88.	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.
Majina mbadala	robust PA, path analysis with robust standard errors, robust causal path modeling, robust structural path modeling	Robust CFA, CFA with robust standard errors, Satorra-Bentler CFA, non-normal CFA
Zinazohusiana	6	6
Muhtasari	Robust path analysis applies robust estimation — such as sandwich standard errors or M-estimation — to path models that specify directed causal relationships among observed variables. It preserves valid inference about path coefficients and indirect effects when data violate normality, contain outliers, or exhibit heteroscedasticity that would distort conventional standard errors.	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.