Exam 14: Two-Factor Analysis of Variance Independent Measures

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In analysis of variance,each independent variable is referred to as a ____.​

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A

The following table shows the results of a two-factor analysis of variance with two levels of factor A,three levels of factor B,and a separate sample of n = 5 participants in each of the treatment conditions.Note that several values are missing in the table.What is the missing value for the F-ratio for the A x B interaction? Source SS df MS Between 80 A 8 F=xx B 20 F=xx Ax B = Within Total 76

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B

How many separate samples would be needed for a two-factor,independent-measures research study with 3 levels of factor A and 3 levels of factor B?​

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C

If a two-factor ANOVA results in a significant main effect for factor A and a significant A x B interaction,explain why you should be cautious in interpreting the effect of factor A.

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For an independent-measures two-factor analysis of variance,all of the F-ratios use the same denominator.​

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A researcher predicts that a special training course will be highly effective for females but will have little or no effect for males.This researcher is predicting an interaction between training and gender.

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A two-factor study with two levels of factor A and three levels of factor B uses a separate group of n = 5 participants in each treatment condition.How many participants are needed for the entire study?​

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How many separate F-ratios are used in a two-factor ANOVA?​

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

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For an experiment involving three levels of factor A and three 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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For the following data,what is the value of SSwithin treatment?? =5 =5 A1 =1 =2 =10 =20 =5 =5 2 =1 =4 =10 =20

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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? 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?

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If the results of a two-factor experiment are presented in a line graph,then what pattern appears in the graph if there is an interaction?​

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For the following data,what is the value of SSB?? 1 2 A1 =5 =5 =1 =2 =10 =20 2 =5 =5 =1 =4 =10 =20

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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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A new laundry detergent is supposed to be equally superior to the leading brand in both hot and cold water.If the new detergent works as predicted,then there should be an interaction between the brand of detergent and the temperature of the water.

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A two-factor study compares 2 levels of factor A and 2 levels of factor B with a sample of n = 20 participants in each treatment condition.If the results are evaluated with a two-factor ANOVA,all the F-ratios will have df = 1,76.

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If a two-factor study has two levels of factor A,and three levels of factor B,then dfbetween.treatments = 5.

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

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Two variables are said to interact when ____.​

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