A repeated-measures experiment comparing only two treatments can be evaluated with either a t statistic or an ANOVA. As we found with the independent measures design, the t test and the ANOVA produce equivalent conclusions, and the two test statistics are related by the equation F t2. The following data are from a repeated-measures study:

a. Use a repeated-measures t statistic with α = .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 α = .05 to evaluate the data. (You should find F = t2.)

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Treatment 2 Treatment 1 Difference Subject 1 2 3 4 3 10 +2 +2 +10 1 +2 4