Univariate Analysis in Experimental Design

Various stages of univariate analysis in experimental design, from raw data checks to refined plotting and testing of randomization. Understand the impact of dropping terms from the model and interpreting results.

• Experimental Design
• Univariate Analysis
• Data Visualization
• Statistical Testing

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Uploaded on Feb 16, 2025 | 0 Views

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Presentation Transcript

1. Univariate Analysis 1

2. Hicks Design of Experiment Example: Layout 2

3. Raw Data Pre: Check on Randomization 3

4. Raw Data Post: Check for Trt Effect 4

5. Refined Plots for Pre Scores 5

6. Can actually test Randomization with Pre scores 6

7. Refined Plots for Post Scores 7

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

9. Suppose Subject was deleted from the analysis 9

10. Model with Group and Test and Interaction 10

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 11

12. LS Means Plot Group 12

13. Interaction Plot 13

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

15. What if we only look at paired differences? 15

16. ANOVA on Paired Score Differences 16

17. Tukey HSD 17

18. Since a true Control Group exists, use Dunnetts 18