Bundle: Statistics for the Behavioral Sciences, Loose-leaf Version, 10th + MindTap Psychology, 1 term (6 months) Printed Access Card
Bundle: Statistics for the Behavioral Sciences, Loose-leaf Version, 10th + MindTap Psychology, 1 term (6 months) Printed Access Card
10th Edition
ISBN: 9781337128995
Author: Frederick J Gravetter, Larry B. Wallnau
Publisher: Cengage Learning
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Chapter 13, Problem 26P

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

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 = t 2 .)

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