In Problem 11 the data show large and consistent differences between subjects. For example, subject A has the largest score in every treatment and subject D always has the smallest score. In the second stage of the ANOVA, the large individual differences are subtracted out of the denominator of the F-ratio, which results in a larger value for F. The following data were created by using the same numbers that appeared in Problem 11. However, we eliminated the consistent individual differences by scrambling the scores within each treatment.

a. Use a repeated-measures ANOVA with α = .05 to determine whether these data are sufficient to demonstrate significant differences between the treatments.
b. Explain how the results of this analysis compare with the results from Problem 11.

Treatment Subject II II G = 48 EX? = 294 A 2 3 11 1 5 11 10 15 D 2 11 T = 16 T= 20 SS = 26 SS = 30 SS = 38 T = 12 650 I