Solution: 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
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= t 2.
The following data are from a repeated-measures study:
Subject Treatment 1 Treatment 2 Difference
1 2 4 _2
2 1 3 _2
3 0 10 _10
4 1 3 _2
-
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 = t 2.)
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