Question 1

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 the F-ratio?

Accepted Answer

A)  $ 0.50 $ 
B)  $ 3.75 $ 
C)  $ 5.00 $ 
D)  $ 45.00 $

Question 2

If an analysis of variance is used for the following data, what would be the effect of changing the value of SS2 to 100?

Accepted Answer

A)  increase SSwithin and increase the size of the F-ratio 
B)  increase SSwrittin and decrease the size of the F-ratio 
C)  decrease SSwittin and increase the size of the F-ratio 
D)  decrease SSwitkin and decrease the size of the F-ratio

Question 3

An analysis of variance produces SSbetween = 40 and MSbetween = 20.In this analysis, how many treatment conditions are being compared?

Accepted Answer

A) 2 
B) 3 
C) 4 
D) 20

Question 4

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

Accepted Answer

A) True 
 B)False

Question 5

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

Accepted Answer

A) True 
 B)False

Question 6

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 information

Question 7

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 = 0.27

Question 8

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

Accepted Answer

A) True 
 B)False

Question 9

For an ANOVA comparing three treatment conditions, rejecting the null hypothesis is equivalent to concluding that all three treatment means are different.

Accepted Answer

A) True 
 B)False

Question 10

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

Accepted Answer

A) SSbetween 
B) SSwithin  
C) dfbetween 
D) dfwithin

Question 11

For 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 12

Which of the following describes a typical distribution of F?ratios?

Accepted Answer

A) symmetrical with a mean of zero 
B) positively skewed with all values greater than or equal to zero 
C) negatively skewed with all values greater than or equal to zero 
D) symmetrical with a mean equal to dfbetween

Question 13

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

Accepted Answer

A) True 
 B)False

Question 14

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

Question 15

What is stated by the null hypothesis (H0) for an ANOVA?

Accepted Answer

A) There are no differences between any of the population means. 
B) At least one of the population means is different from another mean. 
C) All of the population means are different from each other. 
D) None of the other 3 choices is correct.

Question 16

For an independent-measures study comparing four treatment conditions, dfbetween = 3.

Accepted Answer

A) True 
 B)False

Question 17

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 SStotal?

Accepted Answer

A)  16 
B)  23 
C)  29 
D)  56

Question 18

In an analysis of variance, MStotal = MSbetween + MSwithin.

Accepted Answer

A) True 
 B)False

Question 19

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 20

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 MSwithin

Exam 12: Introduction to Analysis of Variance

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 the F-ratio?

If an analysis of variance is used for the following data, what would be the effect of changing the value of SS₂ to 100?

An analysis of variance produces SS_between = 40 and MS_between = 20.In this analysis, how many treatment conditions are being compared?

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

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

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

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?

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

For an ANOVA comparing three treatment conditions, rejecting the null hypothesis is equivalent to concluding that all three treatment means are different.

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

For 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.

Which of the following describes a typical distribution of F?ratios?

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

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

What is stated by the null hypothesis (H₀) for an ANOVA?

For an independent-measures study comparing four treatment conditions, df_between = 3.

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 SS_total?

In an analysis of variance, MS_total = MS_be_tween + MS_within.

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.

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