Exam 9: Introduction to the Analysis of Variance

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based on the following tables. based on the following tables.   -Advanced topic: At the .01 significance level,the null hypothesis __________.(Provide hypothesis testing decision.) -Advanced topic: At the .01 significance level,the null hypothesis __________.(Provide hypothesis testing decision.)

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cannot be rejected [because .01 level critical F (1,8)= 11.26]

In research articles,post-hoc comparisons are often displayed in tables with __________ placed by the means to indicate whether the means are alike or different.

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letters,small letters,letter subscripts,lowercase letters

When sample sizes are equal,MSWithin is figured by

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B

When carrying out an analysis of variance with equal sample sizes,the estimated variance of the distribution of means is converted to an estimated variance of the population of individual scores by

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The overall test of the significance of the difference among groups in an analysis of variance is called

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based on the following tables. based on the following tables.   -Advanced topic: R<sup>2</sup> = __________. -Advanced topic: R2 = __________.

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"Proportion of variance accounted for" is also referred to as all of the following EXCEPT

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based on the following tables. based on the following tables.   -Advanced topic: SS<sub>Within</sub> = __________.(Give a number.) -Advanced topic: SSWithin = __________.(Give a number.)

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Advanced topic: Σ(X-GM)2

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If a study has 3 groups,each with 20 participants,and a one-way analysis of variance produced an F ratio of 6.21 that was significant at the .01 level,the results would be reported in a research article as __________.

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In an analysis of variance with a within-groups variance estimate of 8.5 and a between-groups variance estimate of 5.3,the F ratio is

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Advanced topic: In an analysis of variance table,which of the following can be used to refer to "within-groups"?

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Analysis of variance should be conducted only when

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[(S2Between)(dfBetween)]/[(S2Between)(dfBetween)+ (S2Within)(dfWithin)] =

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In a one-way analysis of variance,when sample sizes are equal,"(S2M)(n)" is the formula for __________.(Do not give a symbol.)

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The between-groups population variance estimate divided by the within-groups population variance estimate is called __________.

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"S2Within" equals

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High school juniors planning to attend college were randomly assigned to view one of four videos that emphasized social life,athletics,scholarship,or artistic/cultural opportunities at a particular college.After viewing the videos,the participants took a test of their desire to attend this college,with the following results.Using the .05 significance level,did the type of activity emphasized in the video affect the participants' desire to attend the college? High school juniors planning to attend college were randomly assigned to view one of four videos that emphasized social life,athletics,scholarship,or artistic/cultural opportunities at a particular college.After viewing the videos,the participants took a test of their desire to attend this college,with the following results.Using the .05 significance level,did the type of activity emphasized in the video affect the participants' desire to attend the college?   a.Use the five steps of hypothesis testing. b.Sketch the distributions involved. c.Figure the effect size of this study and indicate whether it is nearer to small,medium,or large. d.Conduct a planned contrast for the Social Life versus Scholarship films (using the .05 level). e.Conduct Scheffé's test for the groups in (d)and indicate the F cutoff,the F you would use for the comparison,and the hypothesis-testing decision (reject or do not reject). f.Explain the logic of what you did to a person who is familiar with the t test for independent means,but who knows nothing about the analysis of variance.(Be sure your explanation includes the logic of comparing within-groups to between-groups population variance estimates,the logic of how each of these is figured,the F distribution,and the F table.) a.Use the five steps of hypothesis testing. b.Sketch the distributions involved. c.Figure the effect size of this study and indicate whether it is nearer to small,medium,or large. d.Conduct a planned contrast for the Social Life versus Scholarship films (using the .05 level). e.Conduct Scheffé's test for the groups in (d)and indicate the F cutoff,the F you would use for the comparison,and the hypothesis-testing decision (reject or do not reject). f.Explain the logic of what you did to a person who is familiar with the t test for independent means,but who knows nothing about the analysis of variance.(Be sure your explanation includes the logic of comparing within-groups to between-groups population variance estimates,the logic of how each of these is figured,the F distribution,and the F table.)

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According to Cohen's conventions,an R2 of .14 would represent a

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The method used to make planned comparisons that involves dividing the total significance level by the number of comparisons to be made is the __________.

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