Exam 13: Repeated-Measures Anova

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For a repeated-measures design, the differences between treatments may be caused by a treatment effect or by sampling error (random factors), but they cannot be caused by individual differences.

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A repeated-measures study uses a sample of n = 15 participants to evaluate the mean differences among four treatment conditions.In the analysis of variance for this study, what is the value for dfbetween treatments?

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For a repeated-measures study comparing three treatment conditions with a sample of n = 4 participants, what are the degrees of freedom for the repeated-measures F-ratio?

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A repeated-measures analysis of variance produces SStotal = 40 and SSwithin treatments = 10.For this analysis, what is SSbetween treatments?

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For the following data, what is SSbetween subjects? For the following data, what is SS<sub>between subjects</sub>?

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In an independent-measures ANOVA, individual differences contribute to the variance in the numerator and in the denominator of the F-ratio.For a repeated-measures ANOVA, what happens to the individual differences in the denominator of the F-ratio.

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One major difference between the independent?measures ANOVA and the repeated?measures analysis is that SStotal is calculated differently for each type of ANOVA.

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A repeated-measures study comparing three treatment conditions with a sample of n = 10 participants would produce an F-ratio with df = 2, 18.

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The following table shows the results of a repeated-measures ANOVA.Based on this table, what is the value for η\eta 2, the percentage of variance accounted for by the treatments?  The following table shows the results of a repeated-measures ANOVA.Based on this table, what is the value for  \eta <sup>2</sup>, the percentage of variance accounted for by the treatments?

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For a repeated-measures ANOVA if SSbetween subjects = 40 and SSwithin treatments = 70, then SSerror = 30.

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A repeated-measures study compares three treatments with a sample of n = 12 subjects.For the analysis of variance, dferror = 33.

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For a repeated-measures study, if there are no systematic treatment effects (H0 is true), then the numerator and denominator of the F-ratio are both measuring the same sources of variance.

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The denominator of the repeated-measures F-ratio is intended to measure differences that exist without any systematic treatment effect or any systematic individual differences.

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In an independent-measures ANOVA, individual differences contribute to the variance in the numerator and in the denominator of the F-ratio.For a repeated-measures ANOVA, what happens to the individual differences in the numerator of the F-ratio.

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A repeated-measures ANOVA produces SSbetween treatments = 30 and MSbetween treatments = 10.In this analysis, how many treatment conditions are being compared?

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The following table shows the results of a repeated-measures analysis of variance comparing three treatment conditions with a sample of n = 10 participants.Note that several values are missing in the table.What is the missing value for the F-ratio? The following table shows the results of a repeated-measures analysis of variance comparing three treatment conditions with a sample of n = 10 participants.Note that several values are missing in the table.What is the missing value for the F-ratio?

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A repeated-measures analysis of variance produces SSwithin treatments = 24 and SSbetween treatments = 40.For this analysis, what is the value of SSerror?

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In a repeated-measures analysis of variance, how does the magnitude of the mean differences from one treatment to another contribute to the F-ratio?

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In a repeated-measures ANOVA the variability within treatments is divided into two components.What are they?

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For the following data, what is SStotal? For the following data, what is SS<sub>total</sub>?

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