قارن الطرق

	النموذج المختلط الخطي المتين	نموذج التأثيرات الثابتة لبيانات السلاسل الزمنية المقطعية
المجال	الإحصاء	الاقتصاد القياسي
العائلة	Regression model	Regression model
سنة النشأة	2016	2014
صاحب الطريقة	Richardson & Welsh (robust REML); Koller (robustlmm implementation)	Hsiao (textbook treatment); within transformation of panel data
النوع	Robust linear mixed-effects model	Panel data 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.	Hsiao, C. (2014). Analysis of Panel Data (3rd ed.). Cambridge University Press.
الأسماء البديلة	robust mixed-effects model, robust linear mixed model, robust LMM, Robust Karma Etkiler Modeli	fixed effects model, within estimator, panel fixed-effects regression, Panel Veri — Sabit Etkiler Modeli
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).	The Panel Data Fixed Effects model estimates relationships from panel data (the same units observed over several time periods) while controlling for unit- and/or time-specific effects, supporting causal inference. It is developed as the within estimator in standard treatments such as Hsiao's Analysis of Panel Data (2014).