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Completely Randomized ANOVA

Forty eight subjects were randomly assigned to one of 4 treatment conditions in a study of different methods of coping with statistics exam anxiety. After the experiment, 12 subjects remained in group 1, 8 in group 2, 10 in group 3, and 10 in group 4. The mean anxiety score of group 1 was found to be 5.5 points higher than the mean of group 2, 3.5 points higher than the mean of group 3, 5.3 points higher than the mean of group 4, and 3.3 points higher than the grand mean. Interestingly, the sum of squares error was exactly 12.0 times larger than its degrees of freedom.

Did the different treatments result in significantly different amounts of anxiety? (á.01)

ANS: F = 5.83, Reject Ho


You might be able to fill in values using an ANOVA table to determine your F-ratio, since you can determine degrees of freedom and sum of squares error from what you are given in the problem.

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