Exam 12: Analysis of Variance: One-Factor Repeated Measures

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Data Set 12-3: Subjects 1 2 6 9 17 2 5 10 10 25 \Sigma 7 16 19 42 -In Data Set 12-3, SStot is equal to

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Data Set 12-5: Subjects 1 2 8 9 19 2 0 9 6 15 \Sigma 2 17 15 34 -In Data Set 12-5, SStreat is equal to

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In a one-factor repeated-measures ANOVA, the total variance is divided into three components.

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There are many programs that seek to change behavior. One way to assess the effect of a program is to give a pretest, administer the program, and give a posttest. To really prove the lasting value of the program, however, a researcher must gather follow-up data some months later to see if the improvement seen at posttest has continued. In the scores below, larger numbers represent improved performance. Analyze the data, compile it into a summary table, and make three HSD comparisons. Write an interpretation that describes the effect of the program.Three data sets (labeled A, B, and C) are provided for problem 5. Data Set A Pretest Posttest One-year follow-up Subject1 10 28 21 Subject 2 13 27 24 Subject 3 17 36 26 Subject 4 18 31 20 Data Set B Pretest Posttest One-year follow-up Subject 1 9 23 18 Subject 2 13 27 24 Subject 3 17 36 26 Subject 4 18 31 20 Data Set C Pretest Posttest One-year follow-up Subject 1 10 28 21 Subject 2 13 27 24 Subject 3 17 36 26

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A repeated-measures ANOVA with three subjects who provide data in five conditions would have what critical value of F ( α\alpha = .05)?

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