Question 1

Individual treatment conditions are also referred to as cells.

Accepted Answer

A) True 
 B)False

Question 2

A two-factor study compares 2 levels of factor A and 3 levels of factor B with a sample of n = 10 participants in each treatment condition.For this study,the F-ratio for factor A has df = 2,54.

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

Question 4

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 5

What are the assumptions for the two-factor ANOVA?

Accepted Answer

The answer of What are the assumptions for the two-factor...

Question 6

The results from a two-factor analysis of variance show a significant main effect for factor A and a significant main effect for factor B.Based on this information,what can you conclude about the interaction between the two factors?​

Accepted Answer

A) ​There must be a significant interaction. 
B) ​There probably is a significant interaction. 
C) ​The interaction cannot be significant. 
D) ​You cannot make any conclusion about the significance of the interaction.

Question 7

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

Accepted Answer

A) True 
 B)False

Question 8

If the mean and variance are computed for each sample in an independent-measures two-factor experiment,then which types of sample data will tend to produce large F-ratios for the two-factor ANOVA?​

Accepted Answer

A) ​large differences between sample means and small sample variances 
B) ​large differences between sample means and large sample variances 
C) ​small differences between sample means and small sample variances 
D) ​small differences between sample means and large sample variances

Question 9

For a research study with two levels of factor A,three levels of factor B,and n = 5 in each treatment condition,what are the df values for the F-ratio evaluating the main effect for factor A?​

Accepted Answer

A) ​1, 4 
B) ​1, 24 
C) ​1, 29 
D) ​2, 29

Question 10

The following table summarizes the results of a two-factor ANOVA evaluating an independent-measures experiment with two levels of factor A,three levels of factor B,and n = 8 participants in each treatment condition a. Fill in all missing values in the table. (Hint: Start with the df column.) b. Compute η² (the percentage of variance accounted for) for each of the main effects and for the interaction. $$\begin{array} { l c c l l } \text { Source } & \text { SS } & \text { df } & \text { MS } & \ \text { Between Treatments } & 124 & & & \ \text { Factor A } & & & & F _ { A } = 10 \ \text { Factor B } & & & & F _ { B } = \ \text { A X B } & 20 & & & F _ { A \times B } = \ \text { Within Treatments } & & & 4& \ \text { Total } & & & & \end{array}$$

Accepted Answer

The answer of The following table summarizes the results of...

Question 11

If the A x B interaction is significant,then at least one of the two main effects also must be significant.

Accepted Answer

A) True 
 B)False

Question 12

A two-factor,independent-measures research study is evaluated using an analysis of variance.The F-ratio for factor A has df = 1,40 and the F-ratio for factor B has df = 3,40.Based on this information,what are the df values for the A x B interaction?​

Accepted Answer

A) ​df = 2, 40 
B) ​df = 3, 40 
C) ​df = 4, 40 
D) ​df = 7, 40

Question 13

The following data were obtained from a two-factor independent-measures experiment with n = 5 participants in each treatment condition.​  ​ 
a. State the hypotheses for each of the three separate tests included in the two-factor ANOVA.
b. Calculate degrees of freedom and locate the critical region for each of the three tests.
c. Calculate the three F-ratios.
d. State a conclusion for each test.

Accepted Answer

The answer of The following data were obtained from a...

Question 14

The results of a two-factor analysis of variance produce df = 2,36 for the F-ratio for factor A and df = 2,36 for the F-ratio for factor B.How many participants are in each of the treatment conditions?​

Accepted Answer

A) ​4 
B) ​5 
C) ​6 
D) ​10

Question 15

For the following data,what is the value of SSbetween.treatments?? $$\begin{array} { c c c } 
& \mathrm { B } 1 & \mathrm {~B} 2 \
 \text { A1 } & \mathrm { n } = 5 & \mathrm { n } = 5 \
& \mathrm { M } = 1 & \mathrm { M } = 2 \
& \mathrm { SS } = 10 & \mathrm { SS } = 20 \
\mathrm {~A} 2 & \mathrm { n } = 5 & \mathrm { n } = 5 \
& \mathrm { M } = 1 & \mathrm { M } = 4 \
& \mathrm { SS } = 10 & \mathrm { SS } = 20
\end{array}$$

Accepted Answer

A) ?10 
B) ?20 
C) ?30 
D) ?40

Exam 14: Two-Factor Analysis of Variance Independent Measures

Individual treatment conditions are also referred to as cells.

A two-factor study compares 2 levels of factor A and 3 levels of factor B with a sample of n = 10 participants in each treatment condition.For this study,the F-ratio for factor A has df = 2,54.

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

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.

What are the assumptions for the two-factor ANOVA?

The results from a two-factor analysis of variance show a significant main effect for factor A and a significant main effect for factor B.Based on this information,what can you conclude about the interaction between the two factors?

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

If the mean and variance are computed for each sample in an independent-measures two-factor experiment,then which types of sample data will tend to produce large F-ratios for the two-factor ANOVA?

For a research study with two levels of factor A,three levels of factor B,and n = 5 in each treatment condition,what are the df values for the F-ratio evaluating the main effect for factor A?

If the A x B interaction is significant,then at least one of the two main effects also must be significant.

A two-factor,independent-measures research study is evaluated using an analysis of variance.The F-ratio for factor A has df = 1,40 and the F-ratio for factor B has df = 3,40.Based on this information,what are the df values for the A x B interaction?

The results of a two-factor analysis of variance produce df = 2,36 for the F-ratio for factor A and df = 2,36 for the F-ratio for factor B.How many participants are in each of the treatment conditions?

Exam 14: Two-Factor Analysis of Variance Independent Measures

Individual treatment conditions are also referred to as cells.

A two-factor study compares 2 levels of factor A and 3 levels of factor B with a sample of n = 10 participants in each treatment condition.For this study,the F-ratio for factor A has df = 2,54.

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

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.

What are the assumptions for the two-factor ANOVA?

The results from a two-factor analysis of variance show a significant main effect for factor A and a significant main effect for factor B.Based on this information,what can you conclude about the interaction between the two factors?​

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

If the mean and variance are computed for each sample in an independent-measures two-factor experiment,then which types of sample data will tend to produce large F-ratios for the two-factor ANOVA?​

For a research study with two levels of factor A,three levels of factor B,and n = 5 in each treatment condition,what are the df values for the F-ratio evaluating the main effect for factor A?​

If the A x B interaction is significant,then at least one of the two main effects also must be significant.

A two-factor,independent-measures research study is evaluated using an analysis of variance.The F-ratio for factor A has df = 1,40 and the F-ratio for factor B has df = 3,40.Based on this information,what are the df values for the A x B interaction?​

The results of a two-factor analysis of variance produce df = 2,36 for the F-ratio for factor A and df = 2,36 for the F-ratio for factor B.How many participants are in each of the treatment conditions?​

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

The results from a two-factor analysis of variance show a significant main effect for factor A and a significant main effect for factor B.Based on this information,what can you conclude about the interaction between the two factors?

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

If the mean and variance are computed for each sample in an independent-measures two-factor experiment,then which types of sample data will tend to produce large F-ratios for the two-factor ANOVA?

For a research study with two levels of factor A,three levels of factor B,and n = 5 in each treatment condition,what are the df values for the F-ratio evaluating the main effect for factor A?

A two-factor,independent-measures research study is evaluated using an analysis of variance.The F-ratio for factor A has df = 1,40 and the F-ratio for factor B has df = 3,40.Based on this information,what are the df values for the A x B interaction?

The results of a two-factor analysis of variance produce df = 2,36 for the F-ratio for factor A and df = 2,36 for the F-ratio for factor B.How many participants are in each of the treatment conditions?