The following data are from a repeated-measures study comparing three treatment conditions.

a. Use a repeated-measures ANOVA with a 5.05 to determine whether there are significant differences among the treatments and compute h2 to measure the size of the treatment effect.

b. Double the number of scores in each treatment by simply repeating the original scores in each treatment a second time. For example, the n 5 8 scores in Treatment I become 1, 4, 2, 1, 1, 4, 2, 1.

Note that this will not change the treatment means but it will double SSbetween treatments, SSbetween subjects, and the SS value for each treatment. For the new data, use a repeated-measures ANOVA with a 5.05 to determine whether there are significant differences among the treatments and compute h2 to measure the size of the treatment effect.

c. Describe how doubling the sample size affected the value of the F-ratio and the value of h2

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Treatments Person I II III Person Totals A 1 4 7 P 5 12 B 4 8 6 P 5 18 N 5 12 C 2 7 9 P 5 18 G 5 60 D 1 5 6 P 5 12 ΣX2 5 378 M 5 2 M 5 6 M 5 7 T 5 8 T 5 24 T 5 28 SS 5 6 SS 5 10 SS 5 6