Chapter 9, Problem 9.87LM

An experiment employing a randomized block design was conducted to compare the mean responses for four treatments—A. B, C, and D. The treatments were randomly assigned to the four experimental units in each of five blocks.

The data are shown in the following table.

1. a. Given that SS (Total) = 22.31 and SS (Block) = 10.688 and SSE = .288, complete an ANOVA table for the experiment.
2. b. Do the data provide sufficient evidence to indicate a difference among treatment means? Test using α = .05.
3. c. Does the result of the test in part b warrant further comparison of the treatment means? If so, how many pairwise comparisons need to be made?
4. d. Is there evidence that the block means differ? Use α = .05.