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Linear Mixed-Effects Regression - University of Minnesota

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. Helwig (U of Minnesota ) Linear Mixed-Effects RegressionUpdated 04-Jan-2017 : Slide 3 Correlated DataCorrelated DataNathaniel E. Helwig (U of Minnesota ) Linear Mixed-Effects RegressionUpdated 04-Jan-2017 : Slide 4 Correlated DataOverview of ProblemWhat are Correlated Data?

Regression: (yi;xi) are independent for all n ANOVA: yi are independent within and between groups In a Repeated Measures (RM) design, observations are observed from the same subject at multiple occasions. Regression: multiple yi from same subject ANOVA: same subject in multiple treatment cells RM data are one type of correlated data, but other ...

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