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Exam 13: Repeated-Measures and Two-Factor Analysis of Variance

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Question 1

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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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Question 2

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The F-ratio for a repeated-measures ANOVA has df = 1,15.The research study used a total of n = 16 participants.

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If the F-ratio for factor A has df = 1,40 and the F-ratio for factor B has df = 3,40,then the F-ratio for the interaction must have df = 2,40.

A repeated-measures t test produces a t statistic of t = 4.00 with df = 12.If the same data were evaluated with a repeated-measures ANOVA,the F-ratio would have df = 2,12.

In a two-factor analysis of variance,a main effect is defined as _____.

The following data were collected from a repeated-measures study.Perform an ANOVA and then analyze the data with a t test.Use the .05 level of significance for both.

When using the Scheffé post hoc test for a repeated-measures ANOVA,the denominator for the F ratio should be _____.

For a repeated-measures study comparing three treatment conditions with a sample of n = 4 participants,the participant totals (the P values) are 3,6,9,and 6.What is the value for $S S _ { \text {between } }$ subjects?

A repeated-measures ANOVA produced an F-ratio of F = 4.00 with df = 1,14.If the same data were analyzed with a repeated-measures t test,what would be the df value for the t statistic?

For the repeated-measures analysis,the F-ratio,on average,is expected to be zero when H₀ is true.

A two-factor study compares 2 levels of factor A and 3 levels of factor B with a sample of n = 5 participants in each treatment condition.This study uses a total of 25 participants.

For the following data,what are the df values for the repeated-measures F-ratio? $\begin{array} { l c c l c l } { \text { Treatments } } \\\text { Subject } & \text { I } & \text { II } & \text { III } & \text { P-totals } & \\\hline \text { A } & 3 & 4 & 5 & 12 & G = 27 \\\text { B } & 1 & 1 & 4 & 6 & \Sigma X ^ { 2 } = 109 \\\text { C } & 2 & 1 & 6 & 9 & \\& T = 6 & T = 6 & T = 15 & & \\& S S = 2 & S S = 6 & S S = 2 & &\end{array}$

In a two-factor experiment with 2 levels of factor A and 2 levels of factor B,three of the treatment means are essentially identical and one is substantially different from the others.What result(s) would be produced by this pattern of treatment means?

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 df between treatment?

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.

A researcher reports an F-ratio with df = 2,40 from a repeated-measures ANOVA.How many subjects participated in this experiment?

The following data were collected from a repeated-measures study: a. Determine if there are any significant differences among the four treatments.Use the .05 level of significance. b.Compute the percentage of variance explained by the treatment effects (η²).

In a two-factor ANOVA,which of the following is not computed directly but rather is found by subtraction?

A two-factor research study is used to evaluate the effectiveness of a new blood-pressure medication.In this two-factor study,Factor A is medication versus no medication and factor B is male versus female.The medicine is expected to reduce blood pressure for both males and females,but it is expected to have a much greater effect for males.What pattern of results should be obtained if the medication works as predicted?

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?