Exam 12: Introduction to Analysis of Variance

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After an ANOVA,a researcher computes  After an ANOVA,a researcher computes  ² to evaluate effect size and obtains ² = 0.50.If the ANOVA had SS<sub>total</sub>  = 100,then  \text { SSwithin }  =  S S _ { \text {between } }  = 50. ² to evaluate effect size and obtains11eedb96_7b94_556d_a0ba_3d9dc406b78d_TB2285_11² = 0.50.If the ANOVA had SStotal = 100,then  SSwithin \text { SSwithin } = SSbetween S S _ { \text {between } } = 50.

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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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An analysis of variances produces df between = 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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Posttests are only needed if H₀ is rejected in an ANOVA comparing more than two treatments.

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If an analysis of variance produces SSbetween S S _ { \text {between } } = 20 and  SSwithin \text { SSwithin } = 40,then  If an analysis of variance produces  S S _ { \text {between } }  = 20 and  \text { SSwithin }  = 40,then  ² = 0.50. ² = 0.50.

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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 =15 =25 S=90 S=70

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For an independent-measures ANOVA comparing three treatments with a sample of n = 5 in each treatment,what is the critical value for the F-ratio using α = .05?

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The data below are from an independent-measures experiment comparing three different treatment conditions. The data below are from an independent-measures experiment comparing three different treatment conditions.     a.Explain why an ANOVA should be used instead of a series of t tests to evaluate the mean differences among the three treatments. b.Use an analysis of variance with α = .05 to determine whether these data indicate any significant mean differences among the treatments. c.Compute η², the percentage of variance accounted for by the treatments. a.Explain why an ANOVA should be used instead of a series of t tests to evaluate the mean differences among the three treatments. b.Use an analysis of variance with α = .05 to determine whether these data indicate any significant mean differences among the treatments. c.Compute η², the percentage of variance accounted for by the treatments.

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

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

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 SSwithin \text { SSwithin } measures the size of the sample variances.

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The larger the differences among the sample means,the larger the numerator of the F-ratio will be.

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A research report presents the results of an independent-measures ANOVA as follows: F(3,28)= 5.36,p < .01.If all the samples were the same size,then each sample had n = 7 participants.

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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 M2 to 25? Sample Data =10 =20 S=90 S=70

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When comparing more than two treatment means,why should you use an analysis of variance instead of using multiple t tests?

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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?

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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 report concludes that there are significant differences among treatments,with "F(2,24)= 8.62,p < .01." If the same number of participants was used in each of the treatment conditions,then how many individuals were in each treatment?

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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?

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

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