Question 1

A two?factor experimental design means that the researcher must measure two separate scores for each subject.

Accepted Answer

A) True 
 B)False

Question 2

A two-factor ANOVA consists of three separate hypothesis tests.

Accepted Answer

A) True 
 B)False

Question 3

In a two-factor ANOVA, which of the following is not computed directly but rather is found by subtraction?

Accepted Answer

A) SSbetween treatments 
B) SSA 
C) SSB 
D) SSAxB 
A) SSbetween treatments 
B) SSA 
C) SSB 
D) SSAxB

Question 4

If the F?ratio for factor A has df = 1, 40 and the F?ratio for factor B has df = 3, 40, then the F-ratio for the interaction must have df = 2, 40.

Accepted Answer

A) True 
 B)False

Question 5

If a two-factor analysis of variance produces a statistically significant interaction, then what can you conclude about the interaction?

Accepted Answer

A) either the main effect for factor A or the main effect for factor B is also significant 
B) both the man effect for factor A and the main effect for factor B are significant 
C) neither the main effect for factor A nor the main effect for factor B is significant 
D) the significance of the main effects is not related to the significance of the interaction 
A) either the main effect for factor A or the main effect for factor B is also significant 
B) both the man effect for factor A and the main effect for factor B are significant 
C) neither the main effect for factor A nor the main effect for factor B is significant 
D) the significance of the main effects is not related to the significance of the interaction

Question 6

If a two-factor study has two levels of factor A and three levels of factor B, then
dfbet.treatments = 5.

Accepted Answer

A) True 
 B)False

Question 7

A two-factor analysis of variance with 2 levels of factor A and 3 levels of factor B involves six separate hypothesis tests.

Accepted Answer

A) True 
 B)False

Question 8

The following table shows the results of a two-factor analysis of variance with two levels of factor A, three levels of factor B, and a separate sample of n = 5 participants in each of the treatment conditions.Note that several values are missing in the table.What is the missing value for the F-ratio for the AxB interaction? $\begin{array}{ccccc}
\text { Source } & \mathrm{SS} & \mathrm{df} & \mathrm{MS} & \
\hline \text { Between } & 80 & \mathrm{xx} & & \
\text { A } & 8 & \mathrm{xx} & \mathrm{xx} & \mathrm{F}=\mathrm{xx} \
\mathrm{B} & \mathrm{xx} & \mathrm{xx} & 20 & \mathrm{~F}=\mathrm{xx} \
\mathrm{AxB} & \mathrm{xx} & \mathrm{xx} & \mathrm{xx} & \mathrm{F}=\mathrm{xx} \
\text { Within } & \mathrm{xx} & \mathrm{xx} & \mathrm{xx} & \
\text { Total } & 176 & \mathrm{xx} & &
\end{array}$

Accepted Answer

A)  2 
B)  4 
C)  8 
D)  16 
A)  2 
B)  4 
C)  8 
D)  16

Question 9

The following table shows the results of a repeated-measures ANOVA.Based on this table, what is the value for $\eta$2 for factor A?

Accepted Answer

A)  $ 12 / 36 $ 
B)  $ 12 / 96 $ 
C)  $ 12 / 99 $ 
D)  $ 12 / 120 $ 
A)  $ 12 / 36 $ 
B)  $ 12 / 96 $ 
C)  $ 12 / 99 $ 
D)  $ 12 / 120 $

Question 10

In a two-factor ANOVA, MSbetween treatments = MSA + MSB + MSAxB

Accepted Answer

A) True 
 B)False

Question 11

Two variables are said to interact when _____.

Accepted Answer

A) the effect of one independent variable depends on the levels of the second variable 
B) both variables are equally influenced by a third factor 
C) the two variables are differentially affected by a third variable 
D) both variables produce a change in the subjects' scores 
A) the effect of one independent variable depends on the levels of the second variable 
B) both variables are equally influenced by a third factor 
C) the two variables are differentially affected by a third variable 
D) both variables produce a change in the subjects' scores

Question 12

For an experiment involving 2 levels of factor A and 3 levels of factor B with a sample of n = 5 in each treatment condition, what is the value for dfwithin?

Accepted Answer

A) 20 
B) 24 
C) 29 
D) 30 
A) 20 
B) 24 
C) 29 
D) 30

Question 13

A two-factor ANOVA produces an F-ratio for factor A with df = 1, 36 and an F-ratio for factor B with df = 2, 36.Which of the following describes the experiment producing these F-ratios?

Accepted Answer

A) 1 level of factor A and 2 levels of factor B 
B) 2 levels of factor A and 3 levels of factor B 
C) 2 levels for both factors 
D) 3 levels for both factors 
A) 1 level of factor A and 2 levels of factor B 
B) 2 levels of factor A and 3 levels of factor B 
C) 2 levels for both factors 
D) 3 levels for both factors

Question 14

A two-factor study compares three different treatment conditions (factor 1) for males and females (factor 2).In this study, the main effect for gender is determined by the overall mean score for the males (averaged over the three treatments) and the corresponding overall mean score for the females.

Accepted Answer

A) True 
 B)False

Question 15

If a researcher expects that a new teaching technique will be more effective for children who are more than 10 years old than it is for younger children, then the researcher is predicting an interaction between the teaching technique and age.

Accepted Answer

A) True 
 B)False

Question 16

A two-factor research study has two levels of factor A and three levels of factor B with n = 8 participants in each treatment condition.For this study, what is the value for dfbetween treatments?

Accepted Answer

A) 3 
B) 4 
C) 5 
D) 6 
A) 3 
B) 4 
C) 5 
D) 6

Question 17

Which of the following is used to calculate the degrees of freedom for the A x B interaction?

Accepted Answer

A) dfbet.treatments - dfA - dfB 
B) dfA - dfB 
C) dfwithin - (dfA + df
B)  
D) dfbet.treatments - dfwithin 
A) dfbet.treatments - dfA - dfB 
B) dfA - dfB 
C) dfwithin - (dfA + df
B)  
D) dfbet.treatments - dfwithin

Question 18

How many separate F-ratios are used in a two-factor ANOVA?

Accepted Answer

A) one overall F?ratio 
B) two separate F?ratios 
C) three separate F?ratios 
D) four separate F?ratios 
A) one overall F?ratio 
B) two separate F?ratios 
C) three separate F?ratios 
D) four separate F?ratios

Question 19

It often is possible to reduce the variance in an independent-measures design by using a participant variable such as age or gender as a second factor.

Accepted Answer

A) True 
 B)False

Question 20

A researcher predicts that a special training course will be highly effective for females but will have little or no effect for males.This researcher is predicting an interaction between training and gender.

Accepted Answer

A) True 
 B)False

A two?factor experimental design means that the researcher must measure two separate scores for each subject.

A two-factor ANOVA consists of three separate hypothesis tests.

In a two-factor ANOVA, which of the following is not computed directly but rather is found by subtraction?

If the F?ratio for factor A has df = 1, 40 and the F?ratio for factor B has df = 3, 40, then the F-ratio for the interaction must have df = 2, 40.

If a two-factor analysis of variance produces a statistically significant interaction, then what can you conclude about the interaction?

If a two-factor study has two levels of factor A and three levels of factor B, then df_{bet.treatments}= 5.

A two-factor analysis of variance with 2 levels of factor A and 3 levels of factor B involves six separate hypothesis tests.

The following table shows the results of a repeated-measures ANOVA.Based on this table, what is the value for $\eta$ ² for factor A? $The following table shows the results of a repeated-measures ANOVA.Based on this table, what is the value for \eta <sup>2</sup> for factor A?$

In a two-factor ANOVA, MS_{between treatments} = MS_A + MS_B + MS_AxB

Two variables are said to interact when _____.

For an experiment involving 2 levels of factor A and 3 levels of factor B with a sample of n = 5 in each treatment condition, what is the value for df_within?

A two-factor ANOVA produces an F-ratio for factor A with df = 1, 36 and an F-ratio for factor B with df = 2, 36.Which of the following describes the experiment producing these F-ratios?

A two-factor study compares three different treatment conditions (factor 1) for males and females (factor 2).In this study, the main effect for gender is determined by the overall mean score for the males (averaged over the three treatments) and the corresponding overall mean score for the females.

If a researcher expects that a new teaching technique will be more effective for children who are more than 10 years old than it is for younger children, then the researcher is predicting an interaction between the teaching technique and age.

A two-factor research study has two levels of factor A and three levels of factor B with n = 8 participants in each treatment condition.For this study, what is the value for df_{between treatments}?

Which of the following is used to calculate the degrees of freedom for the A x B interaction?

How many separate F-ratios are used in a two-factor ANOVA?

It often is possible to reduce the variance in an independent-measures design by using a participant variable such as age or gender as a second factor.

A researcher predicts that a special training course will be highly effective for females but will have little or no effect for males.This researcher is predicting an interaction between training and gender.

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

Introduction to Analysis of Variance

Repeated-Measures Anova

Correlation

Introduction to Regression

Chi-Square Tests

The Binomial Test

Choosing the Right Statistics

Filters

Exam 14: Two-Factor Analysis of Variance

A two?factor experimental design means that the researcher must measure two separate scores for each subject.

A two-factor ANOVA consists of three separate hypothesis tests.

In a two-factor ANOVA, which of the following is not computed directly but rather is found by subtraction?

If the F?ratio for factor A has df = 1, 40 and the F?ratio for factor B has df = 3, 40, then the F-ratio for the interaction must have df = 2, 40.

If a two-factor analysis of variance produces a statistically significant interaction, then what can you conclude about the interaction?

If a two-factor study has two levels of factor A and three levels of factor B, then dfbet.treatments = 5.

A two-factor analysis of variance with 2 levels of factor A and 3 levels of factor B involves six separate hypothesis tests.

The following table shows the results of a repeated-measures ANOVA.Based on this table, what is the value for η\etaη 2 for factor A?

In a two-factor ANOVA, MSbetween treatments = MSA + MSB + MSAxB

Two variables are said to interact when _____.

For an experiment involving 2 levels of factor A and 3 levels of factor B with a sample of n = 5 in each treatment condition, what is the value for dfwithin?

A two-factor ANOVA produces an F-ratio for factor A with df = 1, 36 and an F-ratio for factor B with df = 2, 36.Which of the following describes the experiment producing these F-ratios?

A two-factor study compares three different treatment conditions (factor 1) for males and females (factor 2).In this study, the main effect for gender is determined by the overall mean score for the males (averaged over the three treatments) and the corresponding overall mean score for the females.

If a researcher expects that a new teaching technique will be more effective for children who are more than 10 years old than it is for younger children, then the researcher is predicting an interaction between the teaching technique and age.

A two-factor research study has two levels of factor A and three levels of factor B with n = 8 participants in each treatment condition.For this study, what is the value for dfbetween treatments?

Which of the following is used to calculate the degrees of freedom for the A x B interaction?

How many separate F-ratios are used in a two-factor ANOVA?

It often is possible to reduce the variance in an independent-measures design by using a participant variable such as age or gender as a second factor.

A researcher predicts that a special training course will be highly effective for females but will have little or no effect for males.This researcher is predicting an interaction between training and gender.

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

Introduction to Analysis of Variance

Repeated-Measures Anova

Correlation

Introduction to Regression

Chi-Square Tests

The Binomial Test

Choosing the Right Statistics

Filters

If a two-factor study has two levels of factor A and three levels of factor B, then df_{bet.treatments}= 5.

The following table shows the results of a repeated-measures ANOVA.Based on this table, what is the value for $\eta$ ² for factor A? $The following table shows the results of a repeated-measures ANOVA.Based on this table, what is the value for \eta <sup>2</sup> for factor A?$

In a two-factor ANOVA, MS_{between treatments} = MS_A + MS_B + MS_AxB

For an experiment involving 2 levels of factor A and 3 levels of factor B with a sample of n = 5 in each treatment condition, what is the value for df_within?

A two-factor research study has two levels of factor A and three levels of factor B with n = 8 participants in each treatment condition.For this study, what is the value for df_{between treatments}?