[Solution Library] A repeated-measures experiment comparing only two treatments can be evaluated with either a statistic or an ANOVA. As we found with the
Question: A repeated-measures experiment comparing only two treatments can be evaluated with either a 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:
| Treatment 1 | Treatment 2 | Difference |
| 2 | 4 | 2 |
| 1 | 3 | 2 |
| 0 | 10 | 10 |
| 1 | 3 | 2 |
- Use a repeated-measures \(t\) statistic with \(\alpha=.05\) 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.)
- Use a repeated-measures ANOVA with \(\alpha=.05\) to evaluate the data. (You should find \(F=t^{2}\).)
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