8.22 Incentives to Exercise Exercise 5.29 on page 385 describes a study designed to see what type of incentive might be most effective in encouraging people to exercise. In the study, 281 overweight or obese people were assigned the goal to walk 700o steps a day, and their activity was tracked for 100 days. The response variable is the number of days (out of 100) that each participant met the goal. The participants were randomly assigned to one of four different incentive groups: for each day they met the goal, participants in the first group got only praise, participants in the second group got entered into a lottery, and participants in the third group received cash (about $1.50 per day). In the fourth group, participants received all the money up front and lost money (about $1.50 per day) if they didn't meet the goal. (The overall financial effect for participants in the third and fourth conditions is identical, but the psychological effect between winning money and losing money is potentially quite different.) The summary statisticsé for the four conditions and overall are shown in Table 8.7. TABLE 8.7. Number of days meeting an exercise goal Condition n Mean St.Dev. Praise 70 30.0 32.0 Lottery 70 35.0 29.9 Get money 70 36.0 29.4 Lose money 71 45.0 30.1 281 36.5 Overall 30.6865 In exercise 8.22, 1. A: Test each pairwise difference between the means. 2. B: Write up: What effects or combinations of effects are important., and what it means in terms of the problem

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8.22 Incentives to Exercise Exercise 5.29 on page 385 describes a study designed to see what type of
incentive might be most effective in encouraging people to exercise. In the study, 281 overweight or
obese people were assigned the goal to walk 700o steps a day, and their activity was tracked for 100
days. The response variable is the number of days (out of 100) that each participant met the goal. The
participants were randomly assigned to one of four different incentive groups: for each day they met the
goal, participants in the first group got only praise, participants in the second group got entered into a
lottery, and participants in the third group received cash (about $1.50 per day). In the fourth group,
participants received all the money up front and lost money (about $1.50 per day) if they didn't meet
the goal. (The overall financial effect for participants in the third and fourth conditions is identical, but
the psychological effect between winning money and losing money is potentially quite different.) The
summary statisticsé for the four conditions and overall are shown in Table 8.7.
TABLE 8.7.
Number of days meeting
an exercise goal
Condition n
Mean St.Dev.
Praise
70 30.0
32.0
Lottery
70 35.0
29.9
Get money
70 36.0
29.4
Lose money 71
45.0
30.1
281 36.5
Overall
30.6865
In exercise 8.22,
1. A: Test each pairwise difference between the
means.
2. B: Write up: What effects or combinations of
effects are important., and what it means in
terms of the problem
Transcribed Image Text:8.22 Incentives to Exercise Exercise 5.29 on page 385 describes a study designed to see what type of incentive might be most effective in encouraging people to exercise. In the study, 281 overweight or obese people were assigned the goal to walk 700o steps a day, and their activity was tracked for 100 days. The response variable is the number of days (out of 100) that each participant met the goal. The participants were randomly assigned to one of four different incentive groups: for each day they met the goal, participants in the first group got only praise, participants in the second group got entered into a lottery, and participants in the third group received cash (about $1.50 per day). In the fourth group, participants received all the money up front and lost money (about $1.50 per day) if they didn't meet the goal. (The overall financial effect for participants in the third and fourth conditions is identical, but the psychological effect between winning money and losing money is potentially quite different.) The summary statisticsé for the four conditions and overall are shown in Table 8.7. TABLE 8.7. Number of days meeting an exercise goal Condition n Mean St.Dev. Praise 70 30.0 32.0 Lottery 70 35.0 29.9 Get money 70 36.0 29.4 Lose money 71 45.0 30.1 281 36.5 Overall 30.6865 In exercise 8.22, 1. A: Test each pairwise difference between the means. 2. B: Write up: What effects or combinations of effects are important., and what it means in terms of the problem
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