In Exercise 7.25, we saw data from Everitt that showed that girls receiving cognitive behavior therapy gained weight over the course of that therapy. However, it is possible that they just gained weight because they got older. One way to control for this is to look at the amount of weight gained by the cognitive therapy group (n = 29) in contrast with the amount gained by girls in a Control group (n = 26), who received no therapy. The data on weight gain for the two groups is shown below. Control Cognitive Therapy -0.5 3.3 1.7 -9.1 11.3 0.7 2.1 -1.4 -9.3 -5.4 12.3 -2.0 - 10.2 - 12.2 0.0 -0.1 -1.0 -0.7 1.4 - 10.6 -0.3 -3.7 -3.5 -4.6 14.9 -6.7 3.5 -0.8 11.6 2.8 17.1 2.4 -7.1 0.3 -7.6 12.6 6.2 1.8 1.6 1.9 -0.2 3.7 11.7 3.9 -9.2 15.9 6.1 0.1 8.3 - 10.2 1.1 15.4 -4.0 -0.7 20.9 Mean St Dev. Variance -0.45 7.99 3.01 7.31 63.82 53.41 Run the appropriate test to compare the group means. What would you conclude?

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Interpret the results in substantive terms. That is, did the weight gain differ significantly by therapy group? If so, which group has a larger weight gain?

In Exercise 7.25, we saw data from Everitt that showed that girls receiving cognitive behavior therapy gained weight over
the course of that therapy. However, it is possible that they just gained weight because they got older. One way to control
for this is to look at the amount of weight gained by the cognitive therapy group (n = 29) in contrast with the amount
gained by girls in a Control group (n = 26), who received no therapy. The data on weight gain for the two groups is shown
below.
Control
Cognitive Therapy
-0.5
3.3
1.7
-9.1
-9.3
11.3
0.7
2.1
-5.4
0.0
-0.1
-1.4
12.3
-1.0
-0.7
1.4
-2.0
- 10.6
-3.5
-0.3
-3.7
- 10.2
- 12.2
-4.6
14.9
-6.7
3.5
-0.8
11.6
2.8
17.1
2.4
-7.1
0.3
-7.6
12.6
6.2
-0.2
1.8
1.6
1.9
3.7
11.7
3.9
-9.2
15.9
6.1
0.1
8.3
- 10.2
1.1
15.4
-4.0
-0.7
20.9
Мean
-0.45
3.01
St Dev.
7.99
7.31
Variance
63.82
53.41
Run the appropriate test to compare the group means. What would
you
conclude?
Transcribed Image Text:In Exercise 7.25, we saw data from Everitt that showed that girls receiving cognitive behavior therapy gained weight over the course of that therapy. However, it is possible that they just gained weight because they got older. One way to control for this is to look at the amount of weight gained by the cognitive therapy group (n = 29) in contrast with the amount gained by girls in a Control group (n = 26), who received no therapy. The data on weight gain for the two groups is shown below. Control Cognitive Therapy -0.5 3.3 1.7 -9.1 -9.3 11.3 0.7 2.1 -5.4 0.0 -0.1 -1.4 12.3 -1.0 -0.7 1.4 -2.0 - 10.6 -3.5 -0.3 -3.7 - 10.2 - 12.2 -4.6 14.9 -6.7 3.5 -0.8 11.6 2.8 17.1 2.4 -7.1 0.3 -7.6 12.6 6.2 -0.2 1.8 1.6 1.9 3.7 11.7 3.9 -9.2 15.9 6.1 0.1 8.3 - 10.2 1.1 15.4 -4.0 -0.7 20.9 Мean -0.45 3.01 St Dev. 7.99 7.31 Variance 63.82 53.41 Run the appropriate test to compare the group means. What would you conclude?
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