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ANOVA test for effect of drug on animals

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A psychologist would like to examine the effects of a new drug on the activity level of animals. Three samples of rats are selected with n = 5 in each sample. One group gets no drug, one group gets a small dose, and the third group gets a large dose. The psychologist records the activity level for each animal. The data from this experiment are presented below.
No drug Small dose Large dose
5 5 10
3 5 12
1 9 9 G = 90
1 6 6 ΣX2 = 678
5 5 8
T = 15 T = 30 T = 45
SS = 16 SS = 12 SS = 20
(a) Do these data indicate any significant differences among the three groups? Test with α = .05.
and conclude that the drug a significant effect on activity level.

(b) Compute η2, the percentage of variance accounted for by the treatment. (Round the answer to two decimal places.)


Solution Summary

The solution provides step by step method for the calculation of F statistic of ANOVA. Formula for the calculation and Interpretations of the results are also included.