Factorial designs in Educational Statistics MCQs

Factorial designs in Educational Statistics MCQs

Try to answer these Factorial designs in Educational Statistics MCQs and check your understanding of the Factorial designs in Educational Statistics subject.
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1: Which of the following is an example of perfect mediation?

A.   The strength of the relationship between the predictor and the outcome is reduced by exactly half when the mediator is included in the model.

B.   The relationship between the predictor and the outcome remains the same when the mediator is included in the model.

C.   The relationship between the predictor and the outcome is completely wiped out when the mediator is included in the model.

D.   The interaction of the predictor and the mediator significantly predicts the outcome, but the variables themselves do not.

2: Mediation has occurred when:

A.   The strength of the relationship between a predictor variable and an outcome variable is reduced by including another variable in the model.

B.   The strength of the relationship between a predictor variable and an outcome variable is increased by including another variable as a predictor.

C.   The relationship between two variables changes as a function of a third variable.

D.   The relationship between two variables decreases as a function of a third variable.

3: Imagine we wanted to investigate whether a person’s profession can predict scores on a self-report psychopathy scale. We collected data from people in eight professions and a group of unemployed people. The eight professions were: bank traders, insurance brokers, health care professionals, business executives, volunteer workers, full-time mums, teachers, construction workers. The outcome was psychopathy score. How could we analyse these data?

A.   ANOVA only

B.   ANOVA or chi-square

C.   Regression only

D.   ANOVA or regression

4: An experiment was done to look at the positive arousing effects of imagery on different people. A sample of statistics lecturers was compared against a group of students. Both groups received presentations of positive images (e.g., cats and bunnies), neutral images (e.g., duvets and light bulbs), and negative images (e.g., corpses and vivisection photographs). Positive arousal was measured physiologically (high values indicate positive arousal) both before and after each batch of images. The order in which participants saw the batches of positive, neutral and negative images was randomized to avoid order effects. It was hypothesized that positive images would increase positive arousal, negative images would reduce positive arousal and that neutral images would have no effect. Differences between the subject groups (lecturers and students) were not expected. What technique should be used to analyse these data?

A.   Two-way mixed mixed design

B.   Three-way mixed ANOVA

C.   Three-way repeated-measures ANOVA

D.   Two-way mixed analysis of covariance

5: Simple effects analysis looks at:

A.   The effect of one independent variable at individual levels of the other independent variable

B.   The difference between the main effects of two independent variables controlling for error

C.   The effect of one independent variable at individual levels of the dependent variable

D.   The main effects of the independent variables, controlling for interaction effects

6: In factorial designs, how many independent variables are manipulated simultaneously?

A.   One

B.   Two or more (Correct)

C.   None

D.   It depends on the sample size

7: What is the main advantage of using factorial designs in educational statistics?

A.   They are easier to analyze than other research designs

B.   They allow researchers to examine the interaction effects between independent variables (Correct)

C.   They are more suitable for qualitative research

D.   They have a smaller sample size requirement

8: In a 2x2 factorial design, how many levels does each independent variable have?

A.   One

B.   Two

C.   Three

D.   Four (Correct)

9: What does a main effect represent in factorial designs?

A.   The interaction between two independent variables

B.   The overall effect of one independent variable on the dependent variable, averaged across the levels of the other independent variable (Correct)

C.   The effect of a confounding variable

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

10: A researcher is conducting a factorial design with two independent variables, each with two levels. How many conditions (cells) will be present in the design?

A.   2

B.   3

C.   4 (Correct)

D.   6

11: In a 2x3 factorial design, how many total conditions (cells) are there?

A.   5

B.   6

C.   7 (Correct)

D.   8

12: A 3x2 factorial design means that:

A.   There are three independent variables and two levels for each variable

B.   There are two independent variables and three levels for each variable (Correct)

C.   There are three dependent variables and two levels for each variable

D.   There are two dependent variables and three levels for each variable

13: What is the advantage of using a factorial design over conducting two separate studies with each independent variable?

A.   It allows for a direct comparison between different independent variables

B.   It reduces the sample size requirement

C.   It is less time-consuming

D.   It can detect interactions between independent variables that may be missed in separate studies (Correct)

14: When conducting hypothesis tests in factorial designs, how many null hypotheses are typically tested for main effects?

A.   One

B.   Two (Correct)

C.   Three

D.   It depends on the research question

15: In a 2x2 factorial design, the results show a significant main effect for the first independent variable but no significant main effect for the second independent variable. What does this indicate?

A.   The first independent variable has a larger effect size than the second independent variable

B.   The second independent variable is not related to the dependent variable

C.   The main effect for the second independent variable is not interpretable due to the interaction effect

D.   The main effect for the second independent variable is consistent across all levels of the first independent variable (Correct)