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Linear Mixed-Effects Regression

Linear Mixed-Effects RegressionNathaniel E. HelwigAssistant Professor of Psychology and StatisticsUniversity of Minnesota (Twin Cities)Updated 04-Jan-2017 Nathaniel E. Helwig (U of Minnesota) Linear Mixed-Effects RegressionUpdated 04-Jan-2017 : Slide 1 CopyrightCopyright 2017 by Nathaniel E. HelwigNathaniel E. Helwig (U of Minnesota) Linear Mixed-Effects RegressionUpdated 04-Jan-2017 : Slide 2 Outline of Notes1) Correlated Data:Overview of problemMotivating ExampleModeling correlated data2) One-Way RM-ANOVA:Model Form & AssumptionsEstimation & InferenceExample: Grocery Prices3) Linear Mixed-Effects Model:Random Intercept ModelRandom Intercepts & SlopesGeneral FrameworkCovariance StructuresEstimation & InferenceExample: TIMSS DataNathaniel E.

Including different combinations of random effects can account for different correlation structures present in the data Goal is to estimate fixed effects parameters (e.g., b^) and random effects variance parameters. Variance parameters are of interest, because they relate to model

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