Question 14.73

14.73 Power for the weight-loss study.

You are planning another study of financial incentives for weight-loss study similar to that described in Exercise 14.59 (page 754). The standard deviations given in that exercise range from 9.08 to 11.50. To perform power calculations, assume that the standard deviation is . You have three groups, each with subjects, and you would like to reject the ANOVA when the alternative , and is true. Use software to make a table of powers against this alternative (similar to the table in Example 14.28, page 748) for the following numbers in each group: , and 75. What sample size would you choose for your study?

14.73

Answers will vary; or 75 would be good choices.

DFG DFE F* Power
35 2 102 3.09 0.609
45 2 132 3.06 0.729
55 2 162 3.05 0.818
65 2 192 3.04 0.881
75 2 222 3.04 0.924