Question: 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:

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SUBJECT Treatment I Treatment II Difference_____

1 2 4 +2

2 1 3 +2

3 0 10 +10

4 1 3 +2

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1. 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.)
2. Use a repeated-measures ANOVA with α = .05 to evaluate the data. (You should find F = t2.)

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