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Exam 12: Introduction to Analysis of Variance

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Question 31

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A researcher reports an F?ratio with df = 1, 24 for an independent-measures experiment.If all the treatments had the same number of participants, then how many individuals were in each treatment?

A) 11
B) 12
C) 13
D) 14

E) A) and B)
F) A) and D)

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Question 32

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An analysis of variance comparing three treatment conditions produces df_total = 32.If the samples are all the same size, how many individuals are in each sample.

A) 9
B) 10
C) 11
D) It is impossible for the samples to be the same size if df_total = 32.

E) All of the above
F) None of the above

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Question 33

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A researcher reports an F-ratio with df = 2, 18 from an independent-measures research study.Based on the df values, how many treatments were compared in the study and what was the total number of subjects participating in the study?

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

The F-ratio for an analysis of variance comparing three treatments with n = 10 in each treatment would have df = 2, 29.

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 MS_within?

A researcher uses analysis of variance to test for mean differences among three treatments with a sample of n = 12 in each treatment.The F-ratio for this analysis would have what df values?

In an analysis of variance, which of the following is determined by the size of the sample mean differences?

What is stated by the alternative hypothesis (H₁) for an ANOVA?

A research report concludes that there are significant differences among treatments, with "F(2, 27) = 8.62, p < .01." If the same number of participants was used in all of the treatment conditions, then how many individuals were in each treatment?

An analysis of variance produces SS_total = 80 and SS_within = 30.For this analysis, what is SS_between?

For an analysis of variance comparing four treatment means with a separate sample of n = 8 participants in each treatment, the F-ratio will have df = 3, 31.

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

The following table shows the results of an analysis of variance comparing three treatment conditions with a sample of n = 10 participants in each treatment. Note that several values are missing in the table. What is the missing value for SStotal?

For an analysis of variance comparing four treatments, MS_between = 12.What is the value of SS_between?

In an independent-measures experiment with three treatment conditions has a sample of n = 10 scores in each treatment.If all three treatments have the same total, T₁ = T₂ = T₃, what is SS_between?

If an analysis of variance produces SS_{between treatments} = 30 and MS_{between treatments} = 10, then the ANOVA is comparing four treatment conditions.

Post tests are only needed if H₀ is rejected in an ANOVA comparing more than 2 treatments.

A research report presents the results of an independent-measures ANOVA as follows: F(3, 28) = 5.36, p < .01.The research study compared three treatments.

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