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1) For a repeated-measures ANOVA, what happens to the individual differences in the numerator of the equation for F? 2) What is the correct denominator

1) For a repeated-measures ANOVA, what happens to the individual differences in the numerator of the equation for F?

2) What is the correct denominator for the repeated-measures F test?

3) Does the correct denominator for the repeated measures F equation include individual difference variation?

4) What are the formulas for the dfs for the numerator and denominator of the repeated measures ANOVA F equation?

5) In the repeated measures ANOVA, SSwithin groups breaks down into what other two SSs?

6) If, in a repeated measures ANOVA, the df within groups was 46 and the df between persons was 6, what would be the df error?

7) The results from a repeated-measures ANOVA are reported as, F(4, 120) = 3.88, p

8) A repeated-measures analysis of variance produces SStotal = 120 and SSwithin groups = 60. For this analysis, what is SSbetween groups?

9) For a repeated-measures study comparing 7 treatment conditions with a sample of n = 10 participants, what are the numerator and denominator degrees of freedom for the repeated-measures F-equation? (hint: remember that N is the number of scores and n is the number of people).

10) What is the formula, in terms of SS and df, for the repeated measures F equation? (this is not a trick question. It is simply asking for the formula for F).

11) A repeated-measures study finds SS between groups = 50 and SS error = 75. DFbetween groups = 2 and DF error = 25. What is the calculated value of F?

12) A repeated measures study has SS bg = 46 and SS error = 80. What is ?2 ?

13) A repeated-measures ANOVA with 5 treatment conditions and a sample of n = 6 participants results in F = 5.33 For alpha of .05 and alpha of .01 do you reject the null hypothesis or not? (3 points). Hint: you need to figure out the dfs to find the critical values of F.

a. Alpha of 0.05

b. Alpha of 0.01

14) This problem is worth 14 points altogether. The following data in the table below were collected from a repeatedmeasures study of muscle growth related to exercise. There were 7 people in the study altogether!!! They each got the four exercise conditions. Fill in the ? blanks in the table below and respond to the questions.

The four Treatments

image text in transcribed
Interval training Aerobic exercise Weight training No exercise SSwithin for the study SSwithin for 35 18 22 22 97 each group Source SS DF MS Between groups Within groups 97 Between persons 16 Error ? Total 114

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