1. Random and Mixed Effects ANOVA
KNNL – Chapter 25

2. 1-Way Random Effects Model
In some settings, the levels of the factor in a 1-Way ANOVA model are a random sample from a larger population of levels
Goal is to make statements regarding the population of levels, as opposed to only regarding the levels in the study.
We wish to make statements about the variation in the effects of the levels
Studies are often interested in measuring reliability of testing/measuring procedures

3. Statistical Model / Parameters of Interest

4. Analysis of Variance - I

5. Analysis of Variance - II

6. Estimating Overall Mean m•

7. Estimating Intra-Class Correlation rI = sm2 / sY2

8. Estimating Within Group Variance: s2

9. Estimating Between Group Variance: sm2

10. 2-Way Random Effects Model

11. 2-Way Mixed Effects Model

12. Expected Mean Squares for 2-Way ANOVA

13. Tests for Main Effects and Interactions

14. Estimating Variance Components

15. Estimating Fixed Effects in Mixed Model

16. Estimating Marginal (Factor A) Means in Mixed Models