Exam 12: Introduction to Analysis of Variance

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The following table shows the results of an analysis of variance comparing four treatment conditions with a sample of n = 5 participants in each treatment.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 an analysis of variance comparing four treatment conditions with a sample of n = 5 participants in each treatment.Note that several values are missing in the table.What is the missing value for the F-ratio?

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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? If an analysis of variance is used for the following data, what would be the effect of changing the value of SS<sub>2</sub> to 100?

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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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For an independent-measures study with n = 10 participants in each treatment condition, dfwithin = 9.

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In analysis of variance, large sample variances reduce the likelihood of rejecting the null hypothesis.

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An analysis of variances produces dftotal = 29 and dfwithin = 27.For this analysis, what is dfbetween?

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An analysis of variance produces SSbetween = 30, SSwithin = 60, and an F-ratio with df = 2, 15.For this analysis, what is the F-ratio?

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Effect size for analysis of variance is measured by η2 which equals SSbetween divided by SSwithin.

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For an ANOVA comparing three treatment conditions, rejecting the null hypothesis is equivalent to concluding that all three treatment means are different.

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In an analysis of variance, which of the following is determined the size of the sample variances?

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For ANOVA, when the null hypothesis is true, the F-ratio is balanced so that the numerator and the denominator are both measuring the same sources of variance.

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Which of the following describes a typical distribution of F?ratios?

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SSbetween measures the size of the mean differences from one treatment to another.

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On average, what value is expected for the F?ratio if the null hypothesis is true?

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What is stated by the null hypothesis (H0) for an ANOVA?

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For an independent-measures study comparing four treatment conditions, dfbetween = 3.

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The following table shows the results of an analysis of variance comparing three treatment conditions with a sample of n = 7 participants in each treatment.Note that several values are missing in the table.What is the missing value for SStotal? The following table shows the results of an analysis of variance comparing three treatment conditions with a sample of n = 7 participants in each treatment.Note that several values are missing in the table.What is the missing value for SS<sub>total</sub>?

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In an analysis of variance, MStotal = MSbetween + MSwithin.

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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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Which of the following is expected if the null hypothesis is true for an analysis of variance?

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