Statistics for The Behavioral Sciences (MindTap Course List)
Statistics for The Behavioral Sciences (MindTap Course List)
10th Edition
ISBN: 9781305504912
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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The data below are from an independent-measures experiment comparing three different treatment conditions. Use an ANOVA with a = .05 to determine whether these data indicate any significant differences among the treatments    Treatment 1 Treatment 2 Treatment 3   0 1 4 N = 12 0 4 3 G = 24 0 1 6 åX2 = 92 2 0 3           M = 0.5 T = 2 M = 1.5 T = 6 M = 4 T = 16   SS = 3 SS = 9 SS = 6
The following data were obtained from a repeated-measures study comparing three treatment conditions. Use a repeated-measures ANOVA with alpha = .05 to determine whether there are significant mean differences among the three treatments.
suppose that for x=3, the predicted value is y=6. The data pair (3, 8) is part of the sample data. What is the value of the residual of x=3?

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Statistics for The Behavioral Sciences (MindTap Course List)

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