A University of Pittsburgh researcher has the following two sets of data, each o
ID: 3330004 • Letter: A
Question
A University of Pittsburgh researcher has the following two sets of data, each of which contains three independent groups. The 12 subjects in each set were randomly assigned to the groups; 4 subjects were assigned to each group. The numbers are scores on some dependent measure. Which set of data is likely to yield a larger F ratio in an analysis of variance? How can you be sure?
Set A:
Group 1
Group 2
Group 3
2
5
11
3
5
10
2
4
9
1
6
10
Mean
2
5
10
Set B:
Group 1
Group 2
Group 3
9
11
23
6
10
10
4
0
2
1
19
9
Mean
2
5
10
Group 1
Group 2
Group 3
2
5
11
3
5
10
2
4
9
1
6
10
Mean
2
5
10
Explanation / Answer
SET A
SET B
From Set A and Set B
SET A is having more F value
Anova: Single Factor SUMMARY Groups Count Sum Average Variance Group 1 4 8 2 0.666667 Group 2 4 20 5 0.666667 Group 3 4 40 10 0.666667 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 130.6667 2 65.33333 98 7.78E-07 4.256495 Within Groups 6 9 0.666667 Total 136.6667 11Related Questions
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