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Hypothesis testing for one-way ANOVA.

An experiment was conducted to evaluate the effectiveness of five different weight reducing agents. A random sample of 50 males was at random 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 numerous 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. Finally of the study period, weight losses were recorded. The data are given here.

 

A

12.4

10.7

11.9

11.0

12.4

12.3

13.0

12.5

11.2

13.1

B

9.1

11.5

11.3

9.7

13.2

10.7

10.6

11.3

11.1

11.7

C

8.5

11.6

10.2

10.9

9.0

9.6

9.9

11.3

10.5

11.2

D

8.7

9.3

8.2

8.3

9.0

9.4

9.2

12.2

8.5

9.9

E

12.7

13.2

11.8

11.9

12.2

11.2

13.7

11.8

11.5

11.7

A. Test for important 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.

Statistics and Probability, Statistics

  • Category:- Statistics and Probability
  • Reference No.:- M919774

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