11/12/2008

A 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

Exercises 13 and 15 on pages 283 and 284

• See p:\data\math\hartlaub\nonparametrics\hichild.mtw

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 21 on p. 293