An experiment employing a randomized block design was conducted to compare the mean responses for four treatmentsâ€”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.
a. Given that SS(Total) = 22.31 and SS(Block) = 10.688 and SSE = .288, complete an ANOVA table for the experiment.
b. Do the data provide sufficient evidence to indicate a difference among treatment means? Test using a = .05.
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? d. Is there evidence that the block means differ? Use a = .05.