The data listed in the following table relate to a study by Reiter and others (1981) concerning the effects of injecting triethyl-tin (TET) into rats once at age 5 days. The animals were injected with 0, 3, or 6 mg per kilogram of body weight. The response was the log of the activity count for 1 hour, recorded at 21 days of age. The rat was left to move about freely in a figure 8 maze. Analysis of other studies with this type of activity count confirms that log counts should yield Gaussian errors if the model is correct.
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?

5679115 16 17 3 5 6 7 9-12-16 1 3 5 6 7 9-12-16-35679-12- SA 0 0 0 0 0 0 0 0 3 3 3 3 3 3 3 3 3 3 6 6 6 6 6 6 6 6 6 oooooooo 27 2 2 2 2 2 2 576 123457890 11 2 3 4 1 6 719 20 21 2 3 4 5 6 7 8 2 30 31 3 3 3 3 3 3