Question 1

The distribution of F-ratios is negatively skewed.

Accepted Answer

A) True 
 B)False  False

Question 2

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 SSbetween and increase the size of the F-ratio 
B)  increase SSbetween and decrease the size of the F-ratio 
C)  decrease SSbetween and increase the size of the F-ratio 
D)  decrease SSbetween and decrease the size of the F-ratio 
A)  increase SSbetween and increase the size of the F-ratio 
B)  increase SSbetween and decrease the size of the F-ratio 
C)  decrease SSbetween and increase the size of the F-ratio 
D)  decrease SSbetween and decrease the size of the F-ratio D

Question 3

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

Accepted Answer

A) True 
 B)False  False

Question 4

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 $ \mathrm{SS}_{\text {within }} $ and increase the size of the $ \mathrm{F} $-ratio 
B)  increase $ \mathrm{SS}_{\text {wittin }} $ and decrease the size of the F-ratio 
C)  decrease $ \mathrm{SS}_{\text {wittin }} $ and increase the size of the F-ratio 
D)  decrease $ \mathrm{SS}_{\text {wittin }} $ and decrease the size of the F-ratio 
A)  increase $ \mathrm{SS}_{\text {within }} $ and increase the size of the $ \mathrm{F} $-ratio 
B)  increase $ \mathrm{SS}_{\text {wittin }} $ and decrease the size of the F-ratio 
C)  decrease $ \mathrm{SS}_{\text {wittin }} $ and increase the size of the F-ratio 
D)  decrease $ \mathrm{SS}_{\text {wittin }} $ and decrease the size of the F-ratio

Question 5

If an analysis of variance is used for the following data, what would be the effect of changing the value of M2 to 20?

Accepted Answer

A)  increase SSbetween and increase the size of the F-ratio 
B)  increase SSbetween and decrease the size of the $ F $-ratio 
C)  decrease SSbetreen and increase the size of the F-ratio 
D)  decrease SSbetreen and decrease the size of the F-ratio 
A)  increase SSbetween and increase the size of the F-ratio 
B)  increase SSbetween and decrease the size of the $ F $-ratio 
C)  decrease SSbetreen and increase the size of the F-ratio 
D)  decrease SSbetreen and decrease the size of the F-ratio

Question 6

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 7

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

Accepted Answer

A) True 
 B)False

Question 8

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

Accepted Answer

A)  $ S S_{\text {total }}= S S_{\text {between }}+S S_{Sw i t h i n} $ 
B)  $d f_{\text {total }}=d f_{\text {between }}+d f_{\text {within }}$ 
C)  MStotal = MSbetwen + MSDwithin 
D)  All three choices ( $ a $ b and c) aretrue 
A)  $ S S_{\text {total }}= S S_{\text {between }}+S S_{Sw i t h i n} $ 
B)  $d f_{\text {total }}=d f_{\text {between }}+d f_{\text {within }}$ 
C)  MStotal = MSbetwen + MSDwithin 
D)  All three choices ( $ a $ b and c) aretrue

Question 9

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 10

An ANOVA for k = 3 treatments has MSbetween = 10.For this ANOVA, SSbetween = 20.

Accepted Answer

A) True 
 B)False

Question 11

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 12

An analysis of variance comparing three treatment conditions produces dfwithin = 21.If the samples are all the same size, how many individuals are in each sample.

Accepted Answer

A) 6 
B) 7 
C) 8 
D) It is impossible for the samples to be the same size if dfwithin = 21. 
A) 6 
B) 7 
C) 8 
D) It is impossible for the samples to be the same size if dfwithin = 21.

Question 13

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) 3.34 
A) 3.88 
B) 3.49 
C) 3.74 
D) 3.34

Question 14

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 = 5.50, then 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 15

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. 
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.

Question 16

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

Accepted Answer

A) True 
 B)False

Question 17

An independent-measures research study compares three treatment conditions using a sample of n = 5 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?

Accepted Answer

A) 1 
B) 5 
C) 10 
D) 15 
A) 1 
B) 5 
C) 10 
D) 15

Question 18

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

Accepted Answer

A) True 
 B)False

Question 19

In an analysis of variance, if all other factors are held constant, the larger the sample variances, the bigger the value for the F-ratio.

Accepted Answer

A) True 
 B)False

Question 20

In analysis of variance, what is a factor?

Accepted Answer

A) a dependent variable 
B) an independent (or quasi-independent) variable 
C) a treatment mean 
D) a treatment total 
A) a dependent variable 
B) an independent (or quasi-independent) variable 
C) a treatment mean 
D) a treatment total

The distribution of F-ratios is negatively skewed.

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

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

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

If an analysis of variance is used for the following data, what would be the effect of changing the value of M₂ to 20?

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

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

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

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

An ANOVA for k = 3 treatments has MS_between = 10.For this ANOVA, SS_between = 20.

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

An analysis of variance comparing three treatment conditions produces df_within = 21.If the samples are all the same size, how many individuals are in each sample.

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?

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 = 5.50, then which of the following is the correct statistical decision?

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

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

An independent-measures research study compares three treatment conditions using a sample of n = 5 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 SS_between?

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

In an analysis of variance, if all other factors are held constant, the larger the sample variances, the bigger the value for the F-ratio.

In analysis of variance, what is a factor?

Introduction to Statistics

Frequency Distributions

Central Tendency

Variability

Z-Scores

Probability

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 Anova

Two-Factor Analysis of Variance

Correlation

Introduction to Regression

Chi-Square Tests

The Binomial Test

Choosing the Right Statistics

Filters

Exam 12: Introduction to Analysis of Variance

The distribution of F-ratios is negatively skewed.

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

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

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

If an analysis of variance is used for the following data, what would be the effect of changing the value of M2 to 20?

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

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

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

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

An ANOVA for k = 3 treatments has MSbetween = 10.For this ANOVA, SSbetween = 20.

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

An analysis of variance comparing three treatment conditions produces dfwithin = 21.If the samples are all the same size, how many individuals are in each sample.

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?

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 = 5.50, then which of the following is the correct statistical decision?

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

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

An independent-measures research study compares three treatment conditions using a sample of n = 5 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?

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

In an analysis of variance, if all other factors are held constant, the larger the sample variances, the bigger the value for the F-ratio.

In analysis of variance, what is a factor?

Introduction to Statistics

Frequency Distributions

Central Tendency

Variability

Z-Scores

Probability

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 Anova

Two-Factor Analysis of Variance

Correlation

Introduction to Regression

Chi-Square Tests

The Binomial Test

Choosing the Right Statistics

Filters

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

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

If an analysis of variance is used for the following data, what would be the effect of changing the value of M₂ to 20?

An ANOVA for k = 3 treatments has MS_between = 10.For this ANOVA, SS_between = 20.

An analysis of variance comparing three treatment conditions produces df_within = 21.If the samples are all the same size, how many individuals are in each sample.

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

An independent-measures research study compares three treatment conditions using a sample of n = 5 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 SS_between?