Question 1

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

Accepted Answer

A)  1
B)  2
C)  3
D)  Cannot be determined without additional informationE) B) and D)
F) All of the above

Question 2

F-ratios are always greater than or equal to zero.

Accepted Answer

A) True 
 B)False

Question 3

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

Accepted Answer

A)  0
B)  1.00
C)  Between 0 and 1.00
D)  Much greater than 1.00E) None of the above
F) B) and D)

Question 4

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 SSwithin?

Accepted Answer

A)  10
B)  24
C)  34
D)  68E) A) and B)
F) All of the above

Question 5

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

Accepted Answer

A)  Using several t tests increases the risk of a Type I error.
B)  Using several t tests increases the risk of a Type II error.
C)  The analysis of variance is more likely to detect a treatment effect.
D)  There is no advantage to using an analysis of variance instead of several t tests.E) B) and D)
F) A) and B)

Question 6

After an ANOVA,a researcher computes 2 to evaluate effect size and obtains 2 = 0.50.If the ANOVA had SStotal = 100,then SSwithin = SSbetween = 50.

Accepted Answer

A) True 
 B)False

Question 7

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

Accepted Answer

A)  SStotal = SSbetween + SSwithin
B)  dftotal = dfbetween + dfwithin
C)  MStotal = MSbetween + MSSwithin
D)  All three choices are true.E) A) and D)
F) A) and C)

Question 8

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

Accepted Answer

A) True 
 B)False

Question 9

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

Accepted Answer

A) True 
 B)False

Question 10

If an analysis of variance is used for the following data,what would be the effect of changing the value of M1 to 20? Sample Data

Accepted Answer

A)  Increase SSbetween and increase the size of the F-ratio M1 = 15 M2 = 25
B)  Increase SSbetween and decrease the size of the F-ratio SS1 = 90 SS2 = 70
C)  Decrease SSbetween and increase the size of the F-ratio
D)  Decrease SSbetween and decrease the size of the F-ratioE) A) and B)
F) A) and C)

Question 11

A researcher conducts an ANOVA to evaluate the mean difference between two treatments using the data from an independent-measures study and obtains F = 4.00.If the researcher had used an independent-measures t test,then t would be t = 2.00.

Accepted Answer

A) True 
 B)False

Question 12

For an analysis of variance comparing four treatment means with a separate sample of n = 8 participants in each treatment,the F-ratio will have df = 3,31.

Accepted Answer

A) True 
 B)False

Question 13

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?

Accepted Answer

A)  df = 2,11
B)  df = 2,33
C)  df = 2,35
D)  df = 2,36E) C) and D)
F) None of the above

Question 14

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

Accepted Answer

A) True 
 B)False

Question 15

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

Accepted Answer

A)  SSbetween should be about the same size as SStotal
B)  SSbetween should be about the same size as SSwithin
C)  MSbetween should be about the same size as MStotal
D)  MSbetween should be about the same size as MSwithinE) B) and D)
F) All of the above

Question 16

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 all of the treatment conditions,then how many individuals were in each treatment?

Accepted Answer

A)  7
B)  9
C)  10
D)  30E) B) and C)
F) None of the above

Exam 12: Introduction to Analysis of Variance

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

Correct Answer
verified

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

Correct Answer
verified

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?

Correct Answer
verified

A researcher conducts an ANOVA to evaluate the mean difference between two treatments using the data from an independent-measures study and obtains F = 4.00.If the researcher had used an independent-measures t test,then t would be t = 2.00.

Correct Answer
verified

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

Correct Answer
verified

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

Correct Answer
verified

If an analysis of variance is used for the following data,what would be the effect of changing the value of M₁ to 20? Sample Data

Correct Answer
verified

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

Correct Answer
verified

After an ANOVA,a researcher computes ² to evaluate effect size and obtains ² = 0.50.If the ANOVA had SS_total = 100,then SS_within = SS_between = 50.

Correct Answer
verified

F-ratios are always greater than or equal to zero.

Correct Answer
verified

For an analysis of variance comparing four treatment means with a separate sample of n = 8 participants in each treatment,the F-ratio will have df = 3,31.

Correct Answer
verified

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 all of the treatment conditions,then how many individuals were in each treatment?

Correct Answer
verified

An analysis of variances produces df_total = 29 and df_within = 27.For this analysis,what is df_between?

Correct Answer
verified

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

Correct Answer
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For an ANOVA,if SS_between = 40 and SS_within = 60,then η² = 40/100.

Correct Answer
verified

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 SS_within?

Correct Answer
verified

Exam 12: Introduction to Analysis of Variance

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

Correct AnswerverifiedShow Answer

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

Correct AnswerverifiedShow Answer

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?

Correct AnswerverifiedShow Answer

A researcher conducts an ANOVA to evaluate the mean difference between two treatments using the data from an independent-measures study and obtains F = 4.00.If the researcher had used an independent-measures t test,then t would be t = 2.00.

Correct AnswerverifiedShow Answer

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

Correct AnswerverifiedShow Answer

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

Correct AnswerverifiedShow Answer

If an analysis of variance is used for the following data,what would be the effect of changing the value of M1 to 20? Sample Data

Correct AnswerverifiedShow Answer

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

Correct AnswerverifiedShow Answer

After an ANOVA,a researcher computes 2 to evaluate effect size and obtains 2 = 0.50.If the ANOVA had SStotal = 100,then SSwithin = SSbetween = 50.

Correct AnswerverifiedShow Answer

F-ratios are always greater than or equal to zero.

Correct AnswerverifiedShow Answer

For an analysis of variance comparing four treatment means with a separate sample of n = 8 participants in each treatment,the F-ratio will have df = 3,31.

Correct AnswerverifiedShow Answer

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 all of the treatment conditions,then how many individuals were in each treatment?

Correct AnswerverifiedShow Answer

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

Correct AnswerverifiedShow Answer

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

Correct AnswerverifiedShow Answer

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

Correct AnswerverifiedShow Answer

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 SSwithin?

Correct AnswerverifiedShow Answer

Correct Answer
verified

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

Correct Answer
verified

Correct Answer
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Correct Answer
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Correct Answer
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Correct Answer
verified

If an analysis of variance is used for the following data,what would be the effect of changing the value of M₁ to 20? Sample Data

Correct Answer
verified

Correct Answer
verified

After an ANOVA,a researcher computes ² to evaluate effect size and obtains ² = 0.50.If the ANOVA had SS_total = 100,then SS_within = SS_between = 50.

Correct Answer
verified

Correct Answer
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Correct Answer
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Correct Answer
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An analysis of variances produces df_total = 29 and df_within = 27.For this analysis,what is df_between?

Correct Answer
verified

Correct Answer
verified

For an ANOVA,if SS_between = 40 and SS_within = 60,then η² = 40/100.

Correct Answer
verified

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 SS_within?

Correct Answer
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