Question 1

In a study examining the effects of gender (male or female)and major (psychology,computer science,philosophy,or biology)on college students' willingness to perform community service work,how many main effects are possible?
A)3
B)6
C)5
D)2

Accepted Answer

Only two main effects are possible in this study: one for gender and one for major. A main effect is the overall effect of one independent variable on the dependent variable, ignoring any other independent variables. Therefore, there are no possible interaction effects in this study, as it only has two independent variables.

Question 2

A 3x3x3x3 design has _____ potential main effects.
A)3
B)4
C)12
D)81

Accepted Answer

A 3x3x3x3 design has 4 factors, each with 3 levels, resulting in 4 potential main effects, one for each factor.

Question 3

How many conditions would there be in a factorial design with 2 levels of factor A and three levels of factor B?
A)2
B)3
C)5
D)6

Accepted Answer

A factorial design with 2 levels of factor A and 3 levels of factor B would have 2 x 3 = 6 conditions.

Question 4

A main effect indicates
A)the mean differences among the levels of one variable.
B)the mean differences among the levels of all variables.
C)the mean difference between the two variables.
D)none of the above

Accepted Answer

A main effect indicates the mean differences among the levels of one variable.

Question 5

In a study examining the effects of gender (male or female)and major (psychology,computer science,philosophy,or biology)on college students' willingness to perform community service work,how many interaction effects are possible?
A)1
B)2
C)6
D)5

Accepted Answer

In this study, there are two factors: gender (2 levels) and major (4 levels). The interaction effect is between these two factors, so there is only 1 possible interaction effect.

Question 6

Two variables interact when
A)the effect of one independent variable depends on the level of the other independent variable.
B)both variables are affected equally by some third factor.
C)there are no main effects.
D)there are main effects.

Accepted Answer

When two variables interact, the effect of one independent variable depends on the level of the other independent variable. This means that the relationship between the variables is not simply additive, but is influenced by the value of the other variable. Therefore, Option A is the correct answer, whereas Option B, C, and D are not related to the concept of interaction.

Question 7

For a two-way factorial design there is the possibility of _____ main effect(s)and _____ interaction effect(s).
A)2; 2
B)1; 2
C)2; 1
D)2; 4

Accepted Answer

In a two-way factorial design, there are two factors being studied, each with two levels, resulting in a 2x2 design. This allows for two main effects (one for each factor) and one interaction effect (which measures the combined effect of both factors on the outcome). Therefore, the best choice is C, with two main effects and one interaction effect. The other options either overestimate the number of interaction effects or underestimate the number of main effects.

Question 8

In a two-way factorial ANOVA,the formula for calculating SS_Total is A)$\Sigma$(X- _G)². B)$\Sigma$(X- _g)². C)$\Sigma$[( _g - _G)²n]. D)$\Sigma$[( _g - _G)²].

Accepted Answer

The answer of In a two-way factorial ANOVA,the formula for...

Question 9

In a two-way factorial ANOVA,the formula for calculating SS_{Factor A} is A)$\Sigma$(X- _G)². B)$\Sigma$(X- _g)². C)$\Sigma$[( _A - _G)²n_A]. D)$\Sigma$[( _A - _g)²].

Accepted Answer

The answer of In a two-way factorial ANOVA,the formula for...

Question 10

An experiment with two variables each with three levels is a _____ design.
A)3x3
B)2x2
C)2x2x2
D)3x3x3

Accepted Answer

A design with two variables each with three levels is a 3x3 design. This means that there are a total of nine conditions in the experiment, with each variable having three levels. This design allows for the examination of main effects for each variable, as well as interactions between the variables. Choosing a 3x3 design would be appropriate for an experiment where there are two variables that are believed to have an effect on the outcome, and where it is important to understand the nature of the relationship between the variables.

Question 11

A two-way ANOVA means that the experimental design includes
A)two independent variables.
B)two dependent variables.
C)two types of variance.
D)all of the above

Accepted Answer

A two-way ANOVA means that there are two independent variables in the experimental design. The other options, such as two dependent variables or two types of variance, do not accurately describe a two-way ANOVA.

Question 12

For a 2 x 4 factorial design,there is the possibility of _____ main effect(s)and _____ interaction effect(s).
A)2; 4
B)2; 1
C)4; 8
D)8; 8

Accepted Answer

A 2 x 4 factorial design has two factors with two levels and four levels, respectively. Therefore, there are two main effects (one for each factor) and one interaction effect (the combination of the two factors). Therefore, the best choice is B, which indicates two main effects and one interaction effect.

Question 13

When graphed,a significant interaction will definitely have
A)parallel lines.
B)lines with markedly different slopes.
C)a crossover interaction.
D)none of the above

Accepted Answer

A significant interaction is indicated by lines with markedly different slopes, showing that the effect of one variable depends on the level of another variable.

Question 14

In a study examining the effects of time of day (morning or afternoon)and temperature (cool,normal,warm)on worker productivity,the factorial notation would be
A)2 x 2.
B)2 x 3.
C)2 x 5.
D)1 x 6.

Accepted Answer

The study has two independent variables: time of day (morning vs afternoon) and temperature (cool, normal, warm), each with two and three levels respectively. Therefore, the factorial notation for this study would be 2 x 3.

Question 15

In a study examining the effects of time of day (morning or afternoon)and temperature (cool,normal,warm)on worker productivity,how many interaction effect(s)are possible?
A)1
B)2
C)6
D)5

Accepted Answer

In a study with two factors, time of day and temperature, there is only one possible interaction effect, which is the interaction between these two factors.

Question 16

An experiment with four variables each with two levels is a _____ design.
A)2x4
B)2x2
C)2x2x2x2
D)2x3x4

Accepted Answer

A 2x2x2x2 design indicates an experiment with four variables, each having two levels.

Question 17

In a matrix for a factorial design,the row means and column means represent the effects of
A)extraneous factors.
B)individual differences.
C)an interaction.
D)a single factor (variable).

Accepted Answer

In a factorial design matrix, the rows and columns represent different levels of the factors being tested. The row means and column means represent the effects of a single factor or variable, indicating the main effects of each factor on the outcome variable. Therefore, the best choice is D - a single factor (variable).

Question 18

A 2x3x4 factorial design has _____ potential main effects.
A)2
B)3
C)4
D)24

Accepted Answer

A 2x3x4 factorial design has three independent variables (IVs), each with two, three, and four levels, respectively. Each IV can potentially have a main effect. Therefore, there are three potential main effects in this design.

Question 19

In a study examining the effects of gender (male or female)and major (psychology,computer science,philosophy,or biology)on college students' willingness to perform community service work,what is the factorial notation?
A)2 x 2.
B)2 x 3.
C)2 x 4.
D)1 x 6.

Accepted Answer

The study involves two independent variables: gender with 2 levels (male and female) and major with 4 levels (psychology, computer science, philosophy, and biology), resulting in a 2 x 4 factorial design.

Question 20

In a study examining the effects of time of day (morning or afternoon)and temperature (cool,normal,warm)on worker productivity,how many main effects are possible?
A)3
B)6
C)5
D)2

Accepted Answer

There are two main effects possible: one for the time of day and one for the temperature.

Quiz 12: Complex Experimental Design

In a study examining the effects of gender (male or female) and major (psychology,computer science,philosophy,or biology) on college students' willingness to perform community service work,how many main effects are possible?

A 3x3x3x3 design has _____ potential main effects.

How many conditions would there be in a factorial design with 2 levels of factor A and three levels of factor B?

A main effect indicates

In a study examining the effects of gender (male or female) and major (psychology,computer science,philosophy,or biology) on college students' willingness to perform community service work,how many interaction effects are possible?

Two variables interact when

For a two-way factorial design there is the possibility of _ main effect(s) and _ interaction effect(s) .

In a two-way factorial ANOVA,the formula for calculating SS_Total is

In a two-way factorial ANOVA,the formula for calculating SS_{Factor A} is

An experiment with two variables each with three levels is a _____ design.

A two-way ANOVA means that the experimental design includes

For a 2 x 4 factorial design,there is the possibility of _ main effect(s) and _ interaction effect(s) .

When graphed,a significant interaction will definitely have

In a study examining the effects of time of day (morning or afternoon) and temperature (cool,normal,warm) on worker productivity,the factorial notation would be

In a study examining the effects of time of day (morning or afternoon) and temperature (cool,normal,warm) on worker productivity,how many interaction effect(s) are possible?

An experiment with four variables each with two levels is a _____ design.

In a matrix for a factorial design,the row means and column means represent the effects of

A 2x3x4 factorial design has _____ potential main effects.

In a study examining the effects of gender (male or female) and major (psychology,computer science,philosophy,or biology) on college students' willingness to perform community service work,what is the factorial notation?

In a study examining the effects of time of day (morning or afternoon) and temperature (cool,normal,warm) on worker productivity,how many main effects are possible?