مقایسهٔ روش‌ها

	برآورد انحراف مطلق میانه (MAD)	مدل خطی مختلط مقاوم
حوزه	آمار	آمار
خانواده	Regression model	Regression model
سال پیدایش	1974	2016
پدیدآور	Hampel (influence-curve treatment); classical robust statistics	Richardson & Welsh (robust REML); Koller (robustlmm implementation)
نوع	Robust scale estimator	Robust linear mixed-effects model
منبع بنیادین	Hampel, F. R. (1974). The Influence Curve and Its Role in Robust Estimation. Journal of the American Statistical Association, 69(346), 383-393.	Koller, M. (2016). robustlmm: An R Package for Robust Estimation of Linear Mixed-Effects Models. Journal of Statistical Software, 75(6), 1-24.
نام‌های دیگر	median absolute deviation, MAD scale estimator, robust scale estimation, Medyan Mutlak Sapma (MAD) Tahmini	robust mixed-effects model, robust linear mixed model, robust LMM, Robust Karma Etkiler Modeli
مرتبط	5	5
خلاصه	Median Absolute Deviation estimation is a robust measure of statistical dispersion that replaces the standard deviation when outliers are present. Rooted in the influence-curve framework formalised by Hampel (1974), it summarises the spread of a continuous variable using medians instead of means, so a single extreme value cannot distort the result.	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).