Statistical Inference for Mixed Effect Models

  • ANOVA for mixed effect models
    • compare variability explained by one model to the variability explained by the other
    • # Build the Null model with only County as a random-effect null_model <- lmer(Crime ~ (1 | County) , data = md_crime) # Build the Year2 model with Year2 as a fixed and random slope and County as the random-effect year_model <- lmer(Crime ~ Year2 + (1 + Year2 | County) , data = md_crime) # Compare null_model and year_model using an anova anova(null_model, year_model)
  • deciding if random-effect intercept is required
    • plot the data
    • in this case, intercepts are different across the groups and a random-effect intercept is required
    • notion image
  • Hypothesis testing
    • Use lmerTest package which gives p-values (lmer4 does not)