Question 14.61

14.61 Changing the response variable.

Refer to the previous two exercises, where we compared three weight-loss programs using change in weight measured in pounds. Suppose that you decide to instead make the comparison using change in weight measured in kilograms.

loss

  1. Convert the weight loss from pounds to kilograms by dividing each response by 2.2.
  2. Analyze these new weight changes using analysis of variance. Compare the test statistic, degrees of freedom, and -value you obtain here with those reported in part (a) of the previous exercise. Summarize what you find.

14.61

(a) All weight loss values are divided by 2.2. (b) and . The results are identical with the transformed data regarding the test statistic, DF, and -value. Transforming the response variable by a fixed amount has no effect on the ANOVA results.