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

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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 value would be obtained for the t statistic?

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A two-factor analysis of variance with 2 levels of factor A and 3 levels of factor B involves six separate hypothesis tests.

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For an experiment involving 3 levels of factor A and 3 levels of factor B with a sample of n = 8 in each treatment condition,what are the df values for the F-ratio for the AxB interaction?

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If a two-factor analysis of variance produces a statistically significant interaction,what can you conclude about the main effects?

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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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How many separate groups of participants would be needed for an independent-measures,two-factor study with 3 levels of factor A and 4 levels of factor B?

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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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The following data represent the means for each treatment condition in a two-factor experiment.Note that one mean is not given.What value for the missing mean would result in no main effect for factor B? B1 B2 The following data represent the means for each treatment condition in a two-factor experiment.Note that one mean is not given.What value for the missing mean would result in no main effect for factor B?  B1 B2

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For a two-factor analysis of variance,the significance of any specific F-ratio is completely independent of the significance of the other F-ratios.

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If a two-factor study has 2 levels of factor A and 3 levels of factor B,then df between treatment = 5.

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A repeated-measures experiment compares three treatment conditions with a sample of n = 10 participants.If the data are analyzed with ANOVA,the analysis would have dfₜₒₜₐₗ = _____.

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A repeated-measures study uses a sample of n = 10 participants to evaluate the mean differences among three treatment conditions.For this study,df between subjects = 18.

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For a two-factor experiment with 2 levels of factor A and 3 levels of factor B and n = 10 subjects in each treatment condition,how many participants are in each level of factor A?

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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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A repeated-measures study has n = 8 participants and k = 3 treatments.For this study,dfₑᵣᵣₒᵣ= 21.

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If the F-ratios for factor A has df = 1,36 and the F-ratio for the interaction has df = 2,36,then the F-ratio for factor B will also have df = 2,36.

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A two-factor study compares three different treatment conditions (factor 1)for males and females (factor 2).In this study,the main effect for gender is determined by the overall mean score for the males (averaged over the three treatments)and the corresponding overall mean score for the females.

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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?

(Multiple Choice)
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A repeated-measures ANOVA has  SSwithin \text { SSwithin } treatments = 26 and SSbetween S S _ { \text {between } } subjects = 12.For this analysis,what is the value for SSerror?

(Multiple Choice)
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The results of a two-factor analysis of variance produce df = 1,30 for the F-ratio for factor A,and df = 2,30 for the F-ratio for the AxB interaction.Based on this information,how many levels of factor B were compared in the study?

(Multiple Choice)
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