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. Source of Variation SS df MS Fobt Between groups 15 Between persons 3 Within groups (error) 44 Total (a) Complete the F-table. Source of Variation SS df MS Fobt Between groups 15 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. Reject the null hypothesis. (b) Estimate effect size using partial omega-squared: ωP2. (Round your answer to two decimal places.) ωP2 =

Answer 1

(a)

Since p-value corresponding to Between groups<0.05 so we conclude that increased fatigue would be associated with a greater number of errors.

(b)