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Multiple Comparisons Test.

To study the effects of different kinds of vigorous exercise on physical fitness, researchers randomized 33 healthy, non-athletic, 20- to 25-year-old made volunteers into three exercise programs: swimming, running, and bicycling. After six months, a variety of measures were taken of the men's fitness levels. One such measure was forced expiratory volume (FEV1), with higher values indicating better pulmonary fitness. The results were as follows:

FEV1(liters)

Programs

Sample size

Sample mean

Sample standard deviation

Swimming

11

4.4

0.4

Running

11

4.2

0.4

Bicycling

11

3.7

0.5

The one-way ANOVA table for these data is as follows, indicating as a minimum one significant difference in mean FEV1 among the three groups.

Source

DF

Sum of Squares

Mean Square

F Value

Pr > F

Model

2

2.86

1.43

7.53

0.0022

Error

30

5.7

0.19

 

 

Corrected Total

32

8.56

 

 

 

Perform all pair wise comparisons among the 3 programs, using a Tukey adjustment and an overall significance level of 0.05, and then interpret all your results.

Statistics and Probability, Statistics

  • Category:- Statistics and Probability
  • Reference No.:- M921071

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