1. Analysis of Treatment Means
KNNL – Chapter 17

2. Cell Means Model – Sampling Distributions and Graphs

3. Inference for Individual Treatment Means

4. Comparing Two Treatment Means

5. Contrasts among Treatment Means

6. Simultaneous Comparisons
Confidence Coefficient (1-a) applies to only one estimate or comparison, not several comparisons simultaneously. Confidence Coefficient for a “family” of tests/intervals will be smaller than confidence coefficient for “individual” tests/intervals
If we construct five independent confidence intervals, each with confidence level = 0.95, Pr{All Correct} = (0.95)5 = 0.774
Confidence Coefficient (1-a) applies to only pre-planned comparisons, not those suggested by observed samples (referred to as “data snooping”).
If we wait until after observing the data, then decide to test whether most extreme means are different, actual a too high

7. Tukey’s Honest Significant Difference (HSD) - I

8. Tukey’s Honest Significant Difference (HSD) - II

9. Scheffe’s Method for Multiple Comparisons

10. Bonferroni’s Method for Multiple Comparisons

11. SNK Method for All Pairwise Comparisons
Controls False Discovery Rate at e
Uses Different Critical Values for different ranges of means

12. Duncan’s Method for All Pairwise Comparisons
More powerful than SNK method, at cost of increasing e for longer stretches (does not control experimentwise error rate)
Uses Different Critical Values for different ranges of means