The data listed in the following relate to a study by Reiter and others(1981) co

Question

The data listed in the following 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 statistics values and P-values in the accompanying ANOVA table).

c. Using a=.05, report your conclusions based on the ANOVA.

Explanation / Answer

the table values at 5% level of significance with F(2,53)=3.172 and F(1,53)=4.023, so Fcal<Ftab in case of dosage,sex and interaction effects also. so we accept null hypothesis. Therefore, there is no significant differences of means among dosages ,sex and interaction.

source of variation sum of squares degrees of freedom mean sum of squares F-test dosage 0.258 2 0.129 2.6543 sex 0.0105 1 0.0105 0.216 dosage-sex 0.014 2 0.007 0.144 error 2.5775 53 0.0486 total 2.8595 58

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