Factorial ANOVA in Statistics MCQs

Factorial ANOVA in Statistics MCQs

The following Factorial ANOVA in Statistics MCQs have been compiled by our experts through research, in order to test your knowledge of the subject of Factorial ANOVA in Statistics. We encourage you to answer these multiple-choice questions to assess your proficiency.
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1: A factor in a completely randomized ANOVA where the participants are randomly assigned to each level of a factor, resulting in different participants in each level is known as_____

A.   Between Subjects Variable

B.   Between Groups Variable

C.   Within Subjects Variable

D.   None of these

2: Repeated Measures ANOVA is an experimental design where the same participant serves under every level of two factor in the ANOVA.

A.   True

B.   False

3: A factor where the same group of participants is measured on the dependent variable at every level of the independent variable is known as_____

A.   Between Subjects Variable

B.   Between Groups Variable

C.   Within Subjects Variable

D.   Within Groups Variable

4: Split-plot ANOVA is a _____ factor ANOVA.

A.   One

B.   Two

C.   Three

D.   Four

5: What is the purpose of factorial ANOVA?

A.   To compare means of multiple groups within one independent variable

B.   To compare means of multiple groups across two or more independent variables

C.   To assess the correlation between two variables

D.   To analyze the distribution of a single dependent variable

6: How is a two-way factorial ANOVA different from a one-way ANOVA?

A.   A two-way factorial ANOVA involves two independent variables, while a one-way ANOVA involves only one .

B.   A two-way factorial ANOVA has more participants than a one-way ANOVA.

C.   A two-way factorial ANOVA requires a larger sample size than a one-way ANOVA.

D.   A two-way factorial ANOVA is less powerful than a one-way ANOVA.

7: What are the main effects in factorial ANOVA?

A.   The interaction between independent variables

B.   The effect of one independent variable on the dependent variable, averaging across all levels of the other independent variable

C.   The effect of one independent variable on the dependent variable at a specific level of the other independent variable

D.   The effect of the dependent variable on the independent variables

8: In a three-way factorial ANOVA, how many factors are involved?

A.   One

B.   Two

C.   Three

D.   Four or more

9: What does the interaction effect indicate in factorial ANOVA?

A.   It shows the overall effect of one independent variable on the dependent variable.

B.   It shows the combined effect of all independent variables on the dependent variable.

C.   It shows that the effect of one independent variable on the dependent variable depends on the level of another independent variable .

D.   It shows the relationship between the dependent variable and the control variable.

10: How do you interpret a significant main effect in factorial ANOVA?

A.   There is no effect of any independent variable on the dependent variable.

B.   There is a significant difference in the means of the dependent variable across all levels of the independent variables .

C.   The interaction effect is not significant.

D.   The data is not suitable for factorial ANOVA analysis.

11: What is a cell in the context of factorial ANOVA?

A.   The interaction between two independent variables

B.   The combination of all independent variables

C.   The combination of one level of each independent variable

D.   The range of values in the dependent variable

12: What is the assumption of homogeneity of variance in factorial ANOVA?

A.   The variances of the dependent variable are equal across all levels of the independent variables .

B.   The variances of the dependent variable are different across all levels of the independent variables.

C.   The variances of the independent variables are equal.

D.   The variances of the dependent variable are zero.

13: When is factorial ANOVA most appropriate to use in statistical analysis?

A.   When there is only one independent variable

B.   When there are two or more independent variables and an interest in exploring their combined effects on the dependent variable

C.   When the data is not normally distributed

D.   When there are multiple dependent variables and one independent variable