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Univariate Analysis of Repeated Measures: A Hicks Design Experiment Overview

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This comprehensive guide explores the univariate analysis of repeated measures using a Hicks design experiment. It covers essential steps including randomization checks for pre- and post-data, refined plots for score analysis, and the implications of deleting subjects from the analysis model. Key topics include F-tests, error terms, interaction plots, and Tukey’s HSD method for paired differences. Insights into handling control groups with Dunnett’s test are also provided, offering a robust understanding of statistical analysis in experimental design.

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Univariate Analysis of Repeated Measures: A Hicks Design Experiment Overview

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  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 MeasuresHave 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

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