Following Cohen's (1988, pp. 284-288) guidelines for interpreting omega squared,

.010 is a small association .059 is a medium association .138 is a large association, we conclude that the diets accounted for a large proportion of the population variance in weight loss. This is consistent with our perception of the differences between the weight-loss means for the three diets: girls on diet a3 lost five more pounds than did those on a1. Certainly, any girl who is anxious to lose weight would want to be on diet a3. Likewise, the medium association between the exercise conditions and weight loss is practically significant: Walking on the treadmill resulted in a mean weight loss of 3 pounds. Based on Tukey's HSD statistic, 95% confidence intervals for the three pairwise contrasts among the diet means are

-5.9 < ^ j - ^ 2 < 2.9 -9.4 < - < -0.6 -7.9 < - < 0.9.

Because the confidence interval for - does not contain 0, we can be confident that diet a3 is superior to diet a1. Hedges's (1981) effect size for the difference between diets a1 and a3 is g =


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