11/1/2023

Complete problem session

See GoogleDrive\Stat216-Nonparametrics-F2023\!Class Notes\Section7.1-7.2-Notes-BH.pdf

Distribution-Free Test for a Randomized Block Design

• Model
• Hypotheses
• Freidman's Test Procedure
  • Rank the observations within block i.
  • Find the rank sum and the rank average for the jth treatment
  • Compare the rank averages to their expected value to form the Friedman test statistic
• Large sample approximation
• Ties

Exercise 12 on page 303

• See hichild.csv and hichild.R in our Google Drive folder

Class Activity

• Use R to compute the Friedman test and address the rounding first base question in Example 7.1 on p. 293

Ordered Alternatives for a RCBD

• Hypotheses
• Page's Procedure
  • Rank the observations within each block
  • Compute the rank sums
  • Page's test statistic is the weighted sum of the rank sums
• Large sample approximation
• Ties

Exercise 19 on p. 314

• By hand
• Use ppage() and R to replicate the analysis we completed by hand

Please read Sections 7.1 through 7.5 for class on Friday.