Question: a study investigated the effects of physical fatigue on the...
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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 Variation | SS | df | MS | F_{obt} |
---|---|---|---|---|
Between groups | 10 | |||
Between persons | 3 | |||
Within groups (error) | 44 | |||
Total |
(a) Complete the F-table.
Source of Variation |
SS | df | MS | F_{obt} |
---|---|---|---|---|
Between groups |
10 | |||
Between persons |
3 | |||
Within groups (error) |
44 | |||
Total |
Make a decision to retain or reject the null
hypothesis. (Assume alpha equal to 0.05.)
Retain the null hypothesis
OR
Reject the null hypothesis.
(b) Estimate effect size using partial omega-squared:
ω_{P}^{2}. (Round your answer to
two decimal places.)
ω_{P}^{2} = ___?