Exam 12: Introduction to Analysis of Variance

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 SS_total? Source SS df MS Between 20 F=5.00 Within Total

For an ANOVA comparing three treatment conditions,what is stated by the null hypothesis (H₀)?

An analysis of variance produces $S S _ { \text {between } }$ = 30, $\text { SSwithin }$ = 60,and an F-ratio with df = 2,15.For this analysis,what is the F-ratio?

In an analysis of variance,MS_total = t $M S _ { \text {between } }$ + MS_within.

For an independent-measures ANOVA comparing four treatment conditions,df between = 3.

A researcher uses an ANOVA to evaluate the mean difference between two treatments and obtains F(1,22)= 4.00.If the researcher had used an independent-measures t test to evaluate the data,what t value would be obtained?

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

A researcher uses an independent-measures t test to evaluate the mean difference between two treatments.If the t statistic has df = 12,then an ANOVA evaluating the same data would produce an F-ratio with df = 1,11.

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?

A research study comparing three treatments with n = 5 in each treatment produces T₁ = 5,T₂ = 10,T₃ = 15,with SS₁ = 6,SS₂ = 9,SS₃ = 9,and X² = 94.For this study,what is $\text { within }$ ?

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

An analysis of variance produces SS_Total = 80 and $\text { SSwithin }$ = 30.For this analysis,what is $S S _ { \text {between } }$ ?

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

An analysis of variance produces $S S _ { \text {between } }$ = 40 and t $M S _ { \text {between } }$ = 20.In this analysis,how many treatment conditions are being compared?

In an analysis of variance,differences between participants contribute to which of the following variances?

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?

In an analysis of variance,which of the following is not true?

An ANOVA is used to evaluate the mean differences among three treatment conditions with a sample of n = 12 participants in each treatment.For this study,what is df between treatment?

A psychologist would like to examine the effects of different testing methods on the final performance of college students. One group has regular quizzes, one group has three large exams, and the third group only has a final exam. At the end of the course, the psychologist interviews each student to get a measure of the student's overall knowledge of the material. a. Do these data indicate any significant differences among the three methods? Test with α = .05. b. Compute Tukey's HSD to determine exactly which methods are significantly different. Quizzes Exams Final Only 4 1 0 6 4 2 G=36 3 5 0 \Sigma=164 7 2 2 T=20 T=12 T=4 SS=10 SS=10 SS=4

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 $S S _ { \text {between } }$ ?