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An experiment was conducted to compare the effectiveness of five different weight reducing agents. A random sample of 50 males was randomly divided into five equal groups, with preparation A assigned to the first group, B to the second, and so on. Each person in the experiment was given a pre-study physical and told how many pounds overweight he was. A comparison of the mean number of pounds overweight for the groups showed no significant differences. The study was then begun, with each group taking the prescribed preparation for a fixed period of time. At the end of the study period, weight losses were recorded. The data are given here.
A
12.4
10.7
11.9
11.0
12.3
13.0
12.5
11.2
13.1
B
9.1
11.5
11.3
9.7
13.2
10.6
11.1
11.7
C
8.5
11.6
10.2
10.9
9.0
9.6
9.9
10.5
D
8.7
9.3
8.2
8.3
9.4
9.2
12.2
E
12.7
11.8
13.7
A. Test for significant differences among weight losses for the five diets, and perform all pair wise comparisons using:
a. Fisher's LSD
b. Tukey's procedure
B. Which procedure in part A is most appropriate. Give reasons for your selection.
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With this important detail, are there any significant differences with LSD?
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