10/20/2025

Review questions

Umbrella Alternatives

See GoogleDrive\Stat216-Nonparametrics-F2025\!Class Notes\Section6.3-Notes-BH.pdf

• Different types of umbrella alternatives
• Mack-Wolfe Test Procedure
  • Calculate the Mann-Whitney counts for all possible pairs of treatments.
  • Mack-Wolfe Statistic (Ap)
  • Mack-Wolfe Test
    • Use R command pUmbrPK in R.
  • L.S.A.
  • Dealing with ties
    • Use a permutation test to get an exact p-value.
• Exercise 22 on p. 239

Class Activity/Lab

• Simulate (or make up) data with effects that are so small that they are not detected by the Mack-Wolfe umbrella test statistic. Provide descriptive statistics or a visual display of the distributions and your test statistic and p-value in a short report.
• Simulate (or make up) data with effects that are detected by the Mack-Wolfe umbrella test statistic. Provide descriptive statistics or a visual display of the distributions and your test statistic and p-value in a short report.

Our first exam on Friday will cover Chapters 1-5. You may use 6 sheets (8.5"x11") of notes, as well as an R scripts or Markdown file that you create. We will pick up with Chapter 6 on Monday, October 27.