Question 1

An analysis of variance produces SSbetween = 30,SSwithin  = 60,and an F-ratio with df = 2,15.For this analysis,what is the F-ratio?

Accepted Answer

A)  30/60 = 0.50
B)  60/30 = 2.00
C)  15/4 = 3.75
D)  4/15 = 0.27E) B) and D)
F) A) and D)

Question 2

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.

Accepted Answer

A) True 
 B)False

Question 3

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?

Accepted Answer

A)  3.88
B)  3.49
C)  3.74
D)  3.34E) A) and B)
F) C) and D)

Question 4

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

Accepted Answer

A)  SSbetween
B)  SSwithin
C)  dfbetween
D)  dfwithinE) B) and C)
F) A) and B)

Question 5

If an analysis of variance is used for the following data,what would be the effect of changing the value of SS1 to 50? Sample Data

Accepted Answer

A)  Increase SSwithin and increase the size of the F-ratio M1 = 10 M2 = 20
B)  Increase SSwithin and decrease the size of the F-ratio SS1 = 90 SS2 = 70
C)  Decrease SSwithin and increase the size of the F-ratio
D)  Decrease SSwithin and decrease the size of the F-ratioE) A) and B)
F) A) and C)

Question 6

An analysis of variance produces SStotal = 80 and SSwithin = 30.For this analysis,what is SSbetween?

Accepted Answer

A)  30
B)  50
C)  110
D)  Cannot be determined without additional informationE) B) and D)
F) B) and C)

Question 7

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?

Accepted Answer

A)  2 treatments and 19 subjects
B)  2 treatments and 20 subjects
C)  3 treatments and 21 subjects
D)  3 treatments and 22 subjectsE) B) and C)
F) All of the above

Question 8

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 SSbetween?

Accepted Answer

A)  0
B)  1.00
C)  10(3) 
D)  Cannot be determined from the information givenE) A) and B)
F) A) and C)

Question 9

SSbetween measures the size of the mean differences from one treatment to another.

Accepted Answer

A) True 
 B)False

Question 10

Post tests such as Scheffé are not necessary for an analysis of variance comparing only two treatment conditions.

Accepted Answer

A) True 
 B)False

Question 11

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

Accepted Answer

A) True 
 B)False

Question 12

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

Accepted Answer

A) True 
 B)False

Question 13

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

Accepted Answer

A) True 
 B)False

Question 14

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.

Accepted Answer

A) True 
 B)False

Question 15

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 = 4.60,which of the following is the correct statistical decision?

Accepted Answer

A)  Reject the null hypothesis with α = .05 but not with α = .01
B)  Reject the null hypothesis with either α = .05 or α = .01
C)  Fail to reject the null hypothesis with either α = .05 or α = .01
D)  There is not enough information to make a statistical decisionE) All of the above
F) B) and C)

Question 16

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

Accepted Answer

A)  3
B)  4
C)  36
D)  48E) All of the above
F) C) and D)

Question 17

In an ANOVA,what is represented by the letter N?

Accepted Answer

A)  The sum of the scores in a specific treatment
B)  The sum of the scores in the total research study
C)  The number of scores in a specific treatment
D)  The number of scores in the total research studyE) B) and C)
F) A) and C)

Question 18

In an ANOVA,what is represented by the letter T?

Accepted Answer

A)  The sum of the scores in a specific treatment
B)  The sum of the scores in the total research study
C)  The number of scores in a specific treatment
D)  The number of scores in the total research studyE) A) and C)
F) None of the above

Question 19

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

Accepted Answer

A)  Both between-treatments variance and within-treatments variance
B)  Between-treatments variance but not within-treatments variance
C)  Within-treatments variance but not between-treatments variance
D)  Neither between-treatments variance nor within-treatments varianceE) A) and B)
F) A) and D)

Question 20

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

Accepted Answer

A) True 
 B)False

Exam 12: Introduction to Analysis of Variance

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

Correct AnswerverifiedShow Answer

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

Correct AnswerverifiedShow Answer

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

Correct AnswerverifiedShow Answer

Post tests such as Scheffé are not necessary for an analysis of variance comparing only two treatment conditions.

Correct AnswerverifiedShow Answer

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 SSbetween?

Correct AnswerverifiedShow Answer

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.

Correct AnswerverifiedShow Answer

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

Correct AnswerverifiedShow Answer

SSbetween measures the size of the mean differences from one treatment to another.

Correct AnswerverifiedShow Answer

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

Correct AnswerverifiedShow Answer

An analysis of variance produces SStotal = 80 and SSwithin = 30.For this analysis,what is SSbetween?

Correct AnswerverifiedShow Answer

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 = 4.60,which of the following is the correct statistical decision?

Correct AnswerverifiedShow Answer

In an ANOVA,what is represented by the letter T?

Correct AnswerverifiedShow Answer

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

Correct AnswerverifiedShow Answer

If an analysis of variance is used for the following data,what would be the effect of changing the value of SS1 to 50? Sample Data

Correct AnswerverifiedShow Answer

An analysis of variance produces SSbetween = 30,SSwithin = 60,and an F-ratio with df = 2,15.For this analysis,what is the F-ratio?

Correct AnswerverifiedShow Answer

In an ANOVA,what is represented by the letter N?

Correct AnswerverifiedShow Answer

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

Correct AnswerverifiedShow Answer

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.

Correct AnswerverifiedShow Answer

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?

Correct AnswerverifiedShow Answer

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?

Correct AnswerverifiedShow Answer

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

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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?

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Effect size for analysis of variance is measured by η²,which equals SS_between divided by SS_within.

Correct Answer
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SS_between measures the size of the mean differences from one treatment to another.

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

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

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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 SS₁ to 50? Sample Data

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An analysis of variance produces SS_between = 30,SS_within = 60,and an F-ratio with df = 2,15.For this analysis,what is the F-ratio?

Correct Answer
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