قارن الطرق

	النموذج المختلط الخطي المتين	اختبار التبديل (العشوائية)
المجال	الإحصاء	الإحصاء
العائلة	Regression model	Regression model
سنة النشأة	2016	2005
صاحب الطريقة	Richardson & Welsh (robust REML); Koller (robustlmm implementation)	Good (2005); Edgington & Onghena (2007); resampling tradition
النوع	Robust linear mixed-effects model	Nonparametric resampling test
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.	Good, P. (2005). Permutation, Parametric and Bootstrap Tests of Hypotheses (3rd ed.). Springer. ISBN: 978-0387202792
الأسماء البديلة	robust mixed-effects model, robust linear mixed model, robust LMM, Robust Karma Etkiler Modeli	randomization test, exact permutation test, re-randomization test, Permütasyon Testi
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 permutation test is a nonparametric resampling procedure that builds the sampling distribution of a test statistic directly from the data by repeatedly shuffling the group labels. Developed in the resampling tradition and treated systematically by Good (2005) and Edgington & Onghena (2007), it requires no parametric distributional assumption and yields an exact p-value.