قارن الطرق

	تقديرات المقياس القوية Sn و Qn	النموذج المختلط الخطي المتين
المجال	الإحصاء	الإحصاء
العائلة	Regression model	Regression model
سنة النشأة	1993	2016
صاحب الطريقة	Rousseeuw & Croux	Richardson & Welsh (robust REML); Koller (robustlmm implementation)
النوع	Robust scale estimator	Robust linear mixed-effects model
المصدر التأسيسي	Rousseeuw, P. J., & Croux, C. (1993). Alternatives to the Median Absolute Deviation. Journal of the American Statistical Association, 88(424), 1273-1283.	Koller, M. (2016). robustlmm: An R Package for Robust Estimation of Linear Mixed-Effects Models. Journal of Statistical Software, 75(6), 1-24.
الأسماء البديلة	Sn estimator, Qn estimator, Rousseeuw-Croux scale estimators, robust scale estimation	robust mixed-effects model, robust linear mixed model, robust LMM, Robust Karma Etkiler Modeli
ذات صلة	5	5
الملخص	Sn and Qn are robust estimators of scale (spread) proposed by Rousseeuw and Croux (1993) as alternatives to the median absolute deviation (MAD). Both attain a 50% breakdown point while delivering higher statistical efficiency than MAD, so they measure dispersion accurately even when the data contain outliers.	The robust mixed model is a linear mixed-effects model for panel and repeated-measures data that tolerates outliers and heavy-tailed errors. It replaces the usual likelihood with bounded-influence estimating equations, building on the robust restricted maximum likelihood of Richardson and Welsh (1995) and the robustlmm implementation of Koller (2016).