Exam 12: Introduction to Analysis of Variance

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An independent-measures research study compares three treatment conditions using a sample of n = 10 in each treatment.For this study,the three sample means are M1 = 1,M2 = 2,and M3 = 3.For the ANOVA,what value would be obtained for SSbetween?

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C

An analysis of variances produces dfbetween = 3 and dfwithin = 24.If each treatment has the same number of participants,then how many participants are in each treatment?

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B

In general,what factors are most likely to reject the null hypothesis for an ANOVA?

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An ANOVA is used to determine whether significant difference exist,and post tests are used to determine exactly which treatment means are significantly different.

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A research study comparing three treatments with n = 5 in each treatment produces T1 = 5,T2 = 10,T3 = 15,with SS1 = 6,SS2 = 9,SS3 = 9,and X2 = 94.For this study,what is SSbetween?

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A research report presents the results of an independent-measures ANOVA as follows: F(3,28)= 5.36,p < .01.The research study used a total of 31 participants.

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In an analysis of variance,differences caused by treatment effects contribute to which of the following variances?

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If an analysis of variance is used for the following data,what would be the effect of changing the value of SS2 to 100? Sample Data

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For an analysis of variance comparing three treatment means with a separate sample of n = 10 participants in each treatment,dftotal = 29.

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An analysis of variances produces dftotal = 29 and dfwithin = 27.For this analysis,how many treatment conditions are being compared?

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A research study comparing three treatments with n = 5 in each treatment produces T1 = 5,T2 = 10,T3 = 15,with SS1 = 6,SS2 = 9,SS3 = 9,and X2 = 94.For this study,what is SStotal?

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An independent-measures research study compares three treatment conditions using a sample of n = 5 in each treatment.For this study,the three samples have SS1 = 10,SS2 = 20,and SS3 = 15.What value would be obtained for MSwithin?

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A researcher uses an independent-measures t test to evaluate the mean difference between two treatments and obtains t(12)= 4.00.If the researcher had used an ANOVA to evaluate the data,what F-ratio would be obtained?

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An ANOVA is used to evaluate the mean differences among three treatment conditions with a sample of n = 12 participants in each treatment.For this study,what is df between treatments?

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If an analysis of variance produces a value of F = 1.00,then all of the samples have exactly the same mean.

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For an analysis of variance comparing three treatment means,H0 states that all three population means are the same and H1 states that all three population means are different.

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The distribution of F-ratios is negatively skewed.

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Describe the circumstances in which post tests are used,and explain why these tests are necessary.

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An analysis of variance produces SSbetween = 40 and MSbetween = 20.In this analysis,how many treatment conditions are being compared?

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If an analysis of variance produces SSbetween = 20 and SSwithin = 40,then η2 = 0.50.

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