Exam 12: Introduction to Analysis of Variance

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

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

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The within-treatments variance provides a measure of the variability inside each treatment condition.

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The between-treatments variance measures the overall differences between treatment conditions.

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An analysis of variance is used to evaluate the mean differences for a research study comparing four treatments with a separate sample of n = 8 in each treatment.If the data produce an F-ratio of F = 5.50,then which statistical decision is correct?​

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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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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 =90 =70

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For an independent-measures experiment comparing two treatment conditions with a sample of n = 10 in each treatment,what are the correct df values for the F-ratio?​

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

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A researcher uses an 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 which df values?​

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

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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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The distribution of F-ratios is negatively skewed.

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

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As one does more and more separate hypothesis tests,the risk of a Type I error accumulates and is called the experiment-wise alpha level.

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If an analysis of variance produces a value of F = 0,then all of the samples have exactly the same mean.

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In an analysis of variance,which value is determined by the size of the sample variances?​

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For an ANOVA with SSbetween = 40 and SSwithin = 60,η2 = 40/100.

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What provides a measure of the variance caused by random,unsystematic differences?​

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