14. A repeated-measures experiment comparing only two treatments can be evaluated with either a t statistic or an ANOVA. As we found with the independentmeasures design, the t test and the ANOVA produce equivalent conclusions, and the two test statistics are related by the equation F t 2

.

The following data are from a repeated-measures study:

Subject Treatment 1 Treatment 2 Difference 12 4 2 21 3 2 30 10 10 41 3 2

a. Use a repeated-measures t statistic with

.05 to determine whether the data provide evidence of a significant difference between the two treatments.

(Caution: ANOVA calculations are done with the X values, but for t you use the difference scores.)

b. Use a repeated-measures ANOVA with

.05 to evaluate the data. (You should find F t 2

.)