A study investigated the effects of physical fatigue on the performance of profe
ID: 3356268 • Letter: A
Question
A study investigated the effects of physical fatigue on the performance of professional tennis players. Researchers measured the number of unforced errors committed by a random sample of 12 professional tennis players during the first three sets of a match. They hypothesized that increased fatigue would be associated with a greater number of errors. The following is an F-table for this hypothetical study using the one-way within-subjects ANOVA.
(a) Complete the F-table.
(b) Estimate effect size using partial omega-squared: P2. (Round your answer to two decimal places.)
P2 =
Source of Variation SS df MS Fobt Between groups 15 Between persons 3 Within groups (error) 55 TotalExplanation / Answer
Answer:
A study investigated the effects of physical fatigue on the performance of professional tennis players. Researchers measured the number of unforced errors committed by a random sample of 12 professional tennis players during the first three sets of a match. They hypothesized that increased fatigue would be associated with a greater number of errors. The following is an F-table for this hypothetical study using the one-way within-subjects ANOVA.
Source of
SS
df
MS
Fobt
Variation
Between groups
30
2
15
6
Between persons
33
11
3
Within groups (error)
55
22
2.5
Total
118
35
Calculated F=6 which is > critical F =3.44 at 0.05 level.
Ho is not rejected.
There is no evidence to conclude that increased fatigue would be associated with a greater number of errors.
(b) Estimate effect size using partial omega-squared: P2. (Round your answer to two decimal places.)
P2 = 30/(30+55) =0.352941
=0.35 ( two decimals)
Source of
SS
df
MS
Fobt
Variation
Between groups
30
2
15
6
Between persons
33
11
3
Within groups (error)
55
22
2.5
Total
118
35
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