Linganisha mbinu

	Uchambuzi Imara wa Utawala	Uchambuzi Imara wa Njia
Nyanja	Takwimu	Takwimu
Familia	Latent structure	Latent structure
Mwaka wa asili	2007	1998
Mwanzilishi	Hayes & Cai; Wilcox	Yuan & Bentler (robust SEM/path framework); Huber (M-estimation foundation)
Aina	Robust regression-based interaction test	Causal path modeling with robust estimation
Chanzo asilia	Hayes, A. F. & Cai, L. (2007). Using heteroscedasticity-consistent standard error estimators in OLS regression: An introduction and software implementation. Behavior Research Methods, 39(4), 709–722.	Yuan, K.-H. & Bentler, P. M. (1998). Robust mean and covariance structure analysis. British Journal of Mathematical and Statistical Psychology, 51(1), 63–88.
Majina mbadala	robust interaction analysis, robust moderated regression, HC-corrected moderation, outlier-resistant interaction testing	robust PA, path analysis with robust standard errors, robust causal path modeling, robust structural path modeling
Zinazohusiana	5	6
Muhtasari	Robust moderation analysis tests whether the effect of a predictor on an outcome depends on the level of a moderator variable, using estimation methods that remain valid under non-normality, heteroscedasticity, or the presence of influential outliers. It is the preferred approach when standard ordinary least squares assumptions cannot be trusted.	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.