1. Repeated Measures
Univariate Analysis

2. Hicks Design of Experiment Example: Layout

3. Raw Data Pre: Check on Randomization

4. Raw Data Post: Check for Trt Effect

5. Refined Plots for Pre Scores

6. Can actually test Randomization with Pre scores

7. Refined Plots for Post Scores

8. Univariate Analysis Repeated Measures Have two error terms: S(G) and T
Univariate Analysis Repeated Measures Have two error terms: S(G) and T*S(G)

9. Suppose Subject was deleted from the analysis

10. Model with Group and Test and Interaction

11. So what happened? When we drop terms from the model they go into…
If we drop two terms from the model they go into…
Since we now have only one error term, it is the combination of…
So for some F-tests it is…
For other F-tests it is…
The means of those Main Effects and Interaction have not changed. but what did change was…

12. LS Means Plot Group

13. Interaction Plot

14. Tukey HSD on Interaction (be careful about the letters in JMP)

15. What if we only look at paired differences?

16. ANOVA on Paired Score Differences

17. Tukey HSD

18. Since a true Control Group exists, use Dunnett’s