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			14
Between persons			3
Within groups (error)	55
Total

(a) Complete the F-table.

Source of Variation	SS	df	MS	Fobt
Between groups			14
Between persons			3
Within groups (error)	55
Total

(b) Estimate effect size using partial omega-squared: ω_P². (Round your answer to two decimal places.)
ω_P² =

Answer 1

Number of groups, a = 3

Number of professional, b = 12

Total size, N = 12*3 =36

A) ANOVA table:

Source of variation	SS	df	MS	F
Between Groups	2*14 = 28	a-1 = 2	14	14/2 = 7
Between persons	11*3 = 33	b-1 = 11	3	3/2 = 1.5
Within Groups	55	35-2-11 = 22	55/22 = 2.5
Total	28+33+55= 116	N-1 = 35

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