The experimenters described in Problem 9 hoped that home cage would not affect activity level in any systematic fashion. Explore this question by repeating Problem 9, but replacing SEX with CAGE in your analysis.
In Problem 9
a. Tabulate the DOSAGE X SEX cell sample sizes. Explain why this might be called a nearly orthogonal design.
b. Using the accompanying SAS computer output, conduct a two-way ANOVA with SEX and DOSAGE as factors. (First provide the F statistic values and P-values in the accompanying ANOVA table.)
c. Using a = .05, report your conclusions based on the ANOVA.
d. Which, if any, families of means should be followed up with multiple-comparison tests? What type of comparisons would you recommend?