Question 1

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

Accepted Answer

A) True 
 B)False

Question 2

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 3

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

Accepted Answer

A) True 
 B)False

Question 4

An independent-measures research study compares three treatment conditions using a sample of n = 10 in each treatment.For this study,the three sample means are M1 = 1,M2 = 2,and M3 = 3.For the ANOVA,what value would be obtained for $S S _ { \text {between } }$ ?

Accepted Answer

A) 2 
B) 10 
C) 20 
D) 30 
A) 2 
B) 10 
C) 20 
D) 30

Question 5

The following table shows the results of an analysis of variance comparing two treatment conditions with a sample of n = 11 participants in each treatment.Note that several values are missing in the table.What is the missing value for the F-ratio? $$\begin{array} { l r l r l } 
\text { Source } & S S & d f & M S \
\hline \text { Between } & \mathrm { xx } & \mathrm { xx } & 14 & F = \mathrm { xx } \
\text { Within } & \mathrm { xx } & \mathrm { xx } & \mathrm { xx } & \
\text { Total } & 154 & \mathrm { xx } &
\end{array}$$

Accepted Answer

A) 2 
B) 7 
C) 14 
D) 28 
A) 2 
B) 7 
C) 14 
D) 28

Question 6

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 within treatment?

Accepted Answer

A) 2 
B) 11 
C) 33 
D) 35 
A) 2 
B) 11 
C) 33 
D) 35

Question 7

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

Accepted Answer

A) True 
 B)False

Question 8

A researcher uses an independent-measures t test to evaluate the mean difference between two treatments and obtains t(12)= 4.00.If the researcher had used an ANOVA to evaluate the data,what F-ratio would be obtained?

Accepted Answer

A) F(1, 12) = 2.00 
B) F(1, 12) = 16.00 
C) F(1, 11) = 2.00 
D) F(1, 11) = 16.00 
A) F(1, 12) = 2.00 
B) F(1, 12) = 16.00 
C) F(1, 11) = 2.00 
D) F(1, 11) = 16.00

Question 9

For an analysis of variance comparing three treatment means,H₀ states that all three population means are the same and H₁ states that all three population means are different.

Accepted Answer

A) True 
 B)False

Question 10

If an analysis of variance produces a value of F = 1.00,then all the samples have the same mean.

Accepted Answer

A) True 
 B)False

Question 11

The following table shows the results of an analysis of variance comparing four treatment conditions with a sample of n = 5 participants in each treatment.Note that several values are missing in the table.What is the missing value for MSwithin? 
$\begin{array}{lcccc}
\text { Source } & S S & d f & M S & \
\hline \text { Between } & 30 & \mathrm{xx} & \mathrm{xx} & F=\mathrm{xx} \
\text { Within } & \mathrm{xx} & \mathrm{xx} & \mathrm{xx} & \
\text { Total } & 62 & \mathrm{xx} & &
\end{array}$

Accepted Answer

A) 2 
B) 16 
C) 32 
D) 48 
A) 2 
B) 16 
C) 32 
D) 48

Question 12

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

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 13

For an ANOVA,if $S S _ { \text {between } }$ = 40 and $\text { SSwithin }$ = 60,then  ² = 40/100.

Accepted Answer

A) True 
 B)False

Question 14

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 15

An ANOVA is used to determine whether any significant difference exists between treatment means,and posttests are used to determine exactly which treatment means are significantly different.

Accepted Answer

A) True 
 B)False

Question 16

An F-ratio near 1.00 is an indication that the null hypothesis is likely to be true.

Accepted Answer

A) True 
 B)False

Question 17

Describe the circumstances in which post hoc tests are used,and explain why these tests are necessary.

Accepted Answer

Post hoc tests are done after an analysi

Question 18

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

Accepted Answer

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

Question 19

For an ANOVA comparing three treatment conditions,what is stated by the alternative hypothesis (H₁)?

Accepted Answer

A) There are no differences between any of the population means. 
B) At least one of the three population means is different from another mean. 
C) All three of the population means are different from each other. 
D) None of the other choices is correct. 
A) There are no differences between any of the population means. 
B) At least one of the three population means is different from another mean. 
C) All three of the population means are different from each other. 
D) None of the other choices is correct.

Question 20

The distribution of F-ratios is negatively skewed.

Accepted Answer

A) True 
 B)False

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

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.

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

An independent-measures research study compares three treatment conditions using a sample of n = 10 in each treatment.For this study,the three sample means are M₁ = 1,M₂ = 2,and M₃ = 3.For the ANOVA,what value would be obtained for $S S _ { \text {between } }$ ?

The following table shows the results of an analysis of variance comparing two treatment conditions with a sample of n = 11 participants in each treatment.Note that several values are missing in the table.What is the missing value for the F-ratio? Source SS df MS Between 14 F= Within Total 154

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 within treatment?

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

A researcher uses an independent-measures t test to evaluate the mean difference between two treatments and obtains t(12)= 4.00.If the researcher had used an ANOVA to evaluate the data,what F-ratio would be obtained?

For an analysis of variance comparing three treatment means,H₀ states that all three population means are the same and H₁ states that all three population means are different.

If an analysis of variance produces a value of F = 1.00,then all the samples have the same mean.

The following table shows the results of an analysis of variance comparing four treatment conditions with a sample of n = 5 participants in each treatment.Note that several values are missing in the table.What is the missing value for MS_within? Source SS df MS Between 30 F= Within Total 62

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

For an ANOVA,if $S S _ { \text {between } }$ = 40 and $\text { SSwithin }$ = 60,then $For an ANOVA,if S S _ { \text {between } } = 40 and \text { SSwithin } = 60,then ² = 40/100.$ ² = 40/100.

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.

An ANOVA is used to determine whether any significant difference exists between treatment means,and posttests are used to determine exactly which treatment means are significantly different.

An F-ratio near 1.00 is an indication that the null hypothesis is likely to be true.

Describe the circumstances in which post hoc tests are used,and explain why these tests are necessary.

For an ANOVA comparing three treatment conditions,what is stated by the alternative hypothesis (H₁)?

The distribution of F-ratios is negatively skewed.

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

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

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.

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

An independent-measures research study compares three treatment conditions using a sample of n = 10 in each treatment.For this study,the three sample means are M1 = 1,M2 = 2,and M3 = 3.For the ANOVA,what value would be obtained for SSbetween S S _ { \text {between } }SSbetween ​ ?

The following table shows the results of an analysis of variance comparing two treatment conditions with a sample of n = 11 participants in each treatment.Note that several values are missing in the table.What is the missing value for the F-ratio? Source SS df MS Between 14 F= Within Total 154

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 within treatment?

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

A researcher uses an independent-measures t test to evaluate the mean difference between two treatments and obtains t(12)= 4.00.If the researcher had used an ANOVA to evaluate the data,what F-ratio would be obtained?

For an analysis of variance comparing three treatment means,H₀ states that all three population means are the same and H₁ states that all three population means are different.

If an analysis of variance produces a value of F = 1.00,then all the samples have the same mean.

The following table shows the results of an analysis of variance comparing four treatment conditions with a sample of n = 5 participants in each treatment.Note that several values are missing in the table.What is the missing value for MSwithin? Source SS df MS Between 30 F= Within Total 62

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

For an ANOVA,if SSbetween S S _ { \text {between } }SSbetween ​ = 40 and SSwithin \text { SSwithin } SSwithin = 60,then ² = 40/100.

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.

An ANOVA is used to determine whether any significant difference exists between treatment means,and posttests are used to determine exactly which treatment means are significantly different.

An F-ratio near 1.00 is an indication that the null hypothesis is likely to be true.

Describe the circumstances in which post hoc tests are used,and explain why these tests are necessary.

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 SSbetween S S _ { \text {between } }SSbetween ​ ?

For an ANOVA comparing three treatment conditions,what is stated by the alternative hypothesis (H₁)?

The distribution of F-ratios is negatively skewed.

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

An independent-measures research study compares three treatment conditions using a sample of n = 10 in each treatment.For this study,the three sample means are M₁ = 1,M₂ = 2,and M₃ = 3.For the ANOVA,what value would be obtained for $S S _ { \text {between } }$ ?

The following table shows the results of an analysis of variance comparing four treatment conditions with a sample of n = 5 participants in each treatment.Note that several values are missing in the table.What is the missing value for MS_within? Source SS df MS Between 30 F= Within Total 62

For an ANOVA,if $S S _ { \text {between } }$ = 40 and $\text { SSwithin }$ = 60,then $For an ANOVA,if S S _ { \text {between } } = 40 and \text { SSwithin } = 60,then ² = 40/100.$ ² = 40/100.