قارن الطرق

	النموذج المختلط الخطي المتين	انحدار المربعات الصغرى العادية (OLS)
المجال	الإحصاء	الاقتصاد القياسي
العائلة	Regression model	Regression model
سنة النشأة	2016	2019
صاحب الطريقة	Richardson & Welsh (robust REML); Koller (robustlmm implementation)	Wooldridge (textbook treatment); classical least squares
النوع	Robust linear mixed-effects model	Linear regression
المصدر التأسيسي	Koller, M. (2016). robustlmm: An R Package for Robust Estimation of Linear Mixed-Effects Models. Journal of Statistical Software, 75(6), 1-24.	Wooldridge, J. M. (2019). Introductory Econometrics: A Modern Approach (7th ed.). Cengage Learning. ISBN: 978-1337558860
الأسماء البديلة	robust mixed-effects model, robust linear mixed model, robust LMM, Robust Karma Etkiler Modeli	ordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonu
ذات صلة	5	5
الملخص	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).	Ordinary Least Squares is the classical linear regression method that explains a continuous outcome as a linear combination of predictors. It estimates the coefficients by minimising the sum of squared residuals, and under the Gauss-Markov assumptions these estimates are the best linear unbiased estimator (BLUE).