Question 1

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 2

For an analysis of variance comparing four treatment $M S _ { \text {between } }$ = 12.What is the value of $S S _ { \text {between } }$

Accepted Answer

A) 3 
B) 4 
C) 36 
D) 48 
A) 3 
B) 4 
C) 36 
D) 48

Question 3

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

Accepted Answer

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

Question 4

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 decision 
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 decision

Question 5

In general,what factors are most likely to reject the null hypothesis for an ANOVA?

Accepted Answer

A) Small mean differences and small variances 
B) Small mean differences and large variances 
C) Large mean differences and small variances 
D) Large mean differences and large variances 
A) Small mean differences and small variances 
B) Small mean differences and large variances 
C) Large mean differences and small variances 
D) Large mean differences and large variances

Question 6

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

Accepted Answer

A) 0 
B) 1.00 
C) k - 1 
D) N - k 
A) 0 
B) 1.00 
C) k - 1 
D) N - k

Question 7

An ANOVA comparing two treatment conditions produces $\text { SSwithin }$ = 80 and $S S _ { \text {between } }$ = 50.For these data, ²= 25/80.

Accepted Answer

A) True 
 B)False

Question 8

What is the purpose of posttests?

Accepted Answer

A) To determine whether a Type I error was committed 
B) To determine how much difference exists between the treatments 
C) To determine which treatments are significantly different 
D) None of these 
A) To determine whether a Type I error was committed 
B) To determine how much difference exists between the treatments 
C) To determine which treatments are significantly different 
D) None of these

Question 9

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

Accepted Answer

A) Increase $S S _ { \text {between } }$ and increase the F-ratio 
B) Increase $S S _ { \text {between } }$ and decrease the F-ratio 
C) Decrease $S S _ { \text {between } }$ and increase the F-ratio 
D) Decrease $S S _ { \text {between } }$ and decrease the F-ratio 
A) Increase $S S _ { \text {between } }$ and increase the F-ratio 
B) Increase $S S _ { \text {between } }$ and decrease the F-ratio 
C) Decrease $S S _ { \text {between } }$ and increase the F-ratio 
D) Decrease $S S _ { \text {between } }$ and decrease the F-ratio

Question 10

The following table shows the results of an analysis of variance comparing three treatments.What is the value of  ²,the percentage of variance accounted for,for these data?
  $$\begin{array} { l r r r r } 
\text { Source } & S S & d f & M S & \
\text { Between } & 30 & 2 & 15 & F = 7.50 \
\text { Within } & 60 & 30 & 2 & \
\text { Total } & 90 & 32 & &
\end{array}$$

Accepted Answer

A) 30/60 = .5 
B) 30/90 = .33 
C) 60/90 = .67 
D) 2/30 = .067 
A) 30/60 = .5 
B) 30/90 = .33 
C) 60/90 = .67 
D) 2/30 = .067

Question 11

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 total number of scores in the entire study 
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 total number of scores in the entire study

Question 12

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 ΣX² = 94.For this study,what is SSₜₒₜₐₗ?

Accepted Answer

A) 10 
B) 24 
C) 34 
D) 68 
A) 10 
B) 24 
C) 34 
D) 68

Question 13

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 total number of scores in the entire study 
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 total number of scores in the entire study

Question 14

For an 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.

Accepted Answer

A) True 
 B)False

Question 15

$S S _ { \text {between } }$ measures the size of the mean differences from one treatment to another.

Accepted Answer

A) True 
 B)False

Question 16

For an analysis of variance comparing three treatment means with a separate sample of n = 10 participants in each treatment,dfₜₒₜₐₗ = 29.

Accepted Answer

A) True 
 B)False

Question 17

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

Accepted Answer

A)  $S S _ { \text {between } }$ 
B)  $\text { SSwithin }$ 
C)  $d f _ { \text {between } }$ 
D)  $d f _ { \text {within } }$ 
A)  $S S _ { \text {between } }$ 
B)  $\text { SSwithin }$ 
C)  $d f _ { \text {between } }$ 
D)  $d f _ { \text {within } }$

Question 18

A research report presents the results of an independent-measures ANOVA as follows:
F(3,28)= 5.36,p < .01.The research study used a total of 31 participants.

Accepted Answer

A) True 
 B)False

Question 19

In analysis of variance,what is measured by the MS values?

Accepted Answer

A) Sample variance 
B) Population variance 
C) The average distance from one mean to another 
D) The total variability for the set of N scores 
A) Sample variance 
B) Population variance 
C) The average distance from one mean to another 
D) The total variability for the set of N scores

Question 20

The following table shows the results of an analysis of variance comparing three treatment conditions with a sample of n = 7 participants in each treatment.Note that several values are missing in the table.What is the missing value for MS beetween? $$\begin{array} { l l l r l } 
\text { Source } & S S & d f & M S & \
\hline \text { Between } & 20 & \mathrm { xx } & \mathrm { xx } & F = \mathrm { xx } \
\text { Within } & \mathrm { xx } & \mathrm { xx } & 2 & \
\text { Total } & \mathrm { xx } & \mathrm { xx } & &
\end{array}$$

Accepted Answer

A) 2 
B) 5 
C) 10 
D) 40 
A) 2 
B) 5 
C) 10 
D) 40

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.

For an analysis of variance comparing four treatment $M S _ { \text {between } }$ = 12.What is the value of $S S _ { \text {between } }$

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

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?

In general,what factors are most likely to reject the null hypothesis for an ANOVA?

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

An ANOVA comparing two treatment conditions produces $\text { SSwithin }$ = 80 and $S S _ { \text {between } }$ = 50.For these data, $An ANOVA comparing two treatment conditions produces \text { SSwithin } = 80 and S S _ { \text {between } } = 50.For these data, ²= 25/80.$ ²= 25/80.

What is the purpose of posttests?

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

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

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 ΣX² = 94.For this study,what is SSₜₒₜₐₗ?

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

For an 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.

$S S _ { \text {between } }$ measures the size of the mean differences from one treatment to another.

For an analysis of variance comparing three treatment means with a separate sample of n = 10 participants in each treatment,dfₜₒₜₐₗ = 29.

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

A research report presents the results of an independent-measures ANOVA as follows: F(3,28)= 5.36,p < .01.The research study used a total of 31 participants.

In analysis of variance,what is measured by the MS values?

The following table shows the results of an analysis of variance comparing three treatment conditions with a sample of n = 7 participants in each treatment.Note that several values are missing in the table.What is the missing value for MS beetween? Source SS df MS Between 20 F= Within 2 Total

Introduction to Statistics.

Frequency Distributions.

Central Tendency.

Variability.

z-Scores: Location of Scores and Standardized Distributions.

Probability.

Probability and Samples: The Distribution of Sample Means.

Introduction to Hypothesis Testing.

Introduction to the t Statistic

The t Test for Two Independent Samples

The t Test for Two Related Samples

Repeated-Measures and Two-Factor Analysis of Variance

Correlation and Regression.

The Chi-Square Statistic: Tests for Goodness of Fit and Independence

Filters

Exam 12: Introduction to Analysis of Variance

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.

For an analysis of variance comparing four treatment MSbetween M S _ { \text {between } }MSbetween ​ = 12.What is the value of SSbetween S S _ { \text {between } }SSbetween ​

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

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?

In general,what factors are most likely to reject the null hypothesis for an ANOVA?

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

An ANOVA comparing two treatment conditions produces SSwithin \text { SSwithin } SSwithin = 80 and SSbetween S S _ { \text {between } }SSbetween ​ = 50.For these data,²= 25/80.

What is the purpose of posttests?

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

The following table shows the results of an analysis of variance comparing three treatments.What is the value of ²,the percentage of variance accounted for,for these data? Source SS df MS Between 30 2 15 F=7.50 Within 60 30 2 Total 90 32

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

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 ΣX² = 94.For this study,what is SSₜₒₜₐₗ?

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

For an 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.

SSbetween S S _ { \text {between } }SSbetween ​ measures the size of the mean differences from one treatment to another.

For an analysis of variance comparing three treatment means with a separate sample of n = 10 participants in each treatment,dfₜₒₜₐₗ = 29.

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

A research report presents the results of an independent-measures ANOVA as follows: F(3,28)= 5.36,p < .01.The research study used a total of 31 participants.

In analysis of variance,what is measured by the MS values?

The following table shows the results of an analysis of variance comparing three treatment conditions with a sample of n = 7 participants in each treatment.Note that several values are missing in the table.What is the missing value for MS beetween? Source SS df MS Between 20 F= Within 2 Total

Introduction to Statistics.

Frequency Distributions.

Central Tendency.

Variability.

z-Scores: Location of Scores and Standardized Distributions.

Probability.

Probability and Samples: The Distribution of Sample Means.

Introduction to Hypothesis Testing.

Introduction to the t Statistic

The t Test for Two Independent Samples

The t Test for Two Related Samples

Repeated-Measures and Two-Factor Analysis of Variance

Correlation and Regression.

The Chi-Square Statistic: Tests for Goodness of Fit and Independence

Filters

For an analysis of variance comparing four treatment $M S _ { \text {between } }$ = 12.What is the value of $S S _ { \text {between } }$

An ANOVA comparing two treatment conditions produces $\text { SSwithin }$ = 80 and $S S _ { \text {between } }$ = 50.For these data, $An ANOVA comparing two treatment conditions produces \text { SSwithin } = 80 and S S _ { \text {between } } = 50.For these data, ²= 25/80.$ ²= 25/80.

$S S _ { \text {between } }$ measures the size of the mean differences from one treatment to another.