Question 1

In a study with three levels of factor A, three levels of factor B, and six participants in each condition, the df error would be
A)45
B)20
C)53
D)54

Accepted Answer

The degrees of freedom for error (df error) is calculated as the total number of observations minus the number of groups. With 3 levels of factor A and 3 levels of factor B, there are 3x3=9 groups. With 6 participants per group, there are 54 total observations. Therefore, df error = 54 - 9 = 45.

Question 2

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 there are two independent variables being tested, with one dependent variable. It does not, however, refer to different types of variance or dependent variables.

Question 3

In a two-way factorial ANOVA, the formula for calculating df_{Factor A} is A)A - 1 B)N - A C)k - 1 D)N - (k - 1)

Accepted Answer

The degrees of freedom for Factor A in a two-way factorial ANOVA is calculated as the number of levels of Factor A minus one, which is represented by A - 1.

Question 4

A 2 x 3 x 4 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 5

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

The answer of In a study examining the effects of...

Question 6

A factorial design involves
A)measuring more than one dependent factor (variables).
B)manipulating more than one independent factor (variable).
C)both a and b.
D)none of the above

Accepted Answer

A factorial design involves manipulating more than one independent factor (variable) to observe their effects on a dependent variable.

Question 7

In a two-way factorial ANOVA, the formula for calculating SS_{Factor A} is A) $ \sum(X-\bar{X} G)^{2} $ B) $ \sum\left(X-\bar{X}_{g}\right)^{2} $ C) $ \sum\left[\left(\bar{X}_{A}-\bar{X}_{G}\right)^{2} n_{A}\right] $ D) $ \sum\left[\left(\bar{X}_{A}-\bar{X}_{g}\right)^{2}\right] $

Accepted Answer

The formula for SS_{Factor A} involves the sum of squared differences between the marginal means of Factor A and the grand mean, weighted by the number of observations in each level of Factor A.

Question 8

In a two-way factorial ANOVA, the formula for calculating SS_Total is A) $ \sum\left(X-\overline{X_{G}}\right)^{2} $ B) $ \sum\left(X-\bar{X}_{g}\right)^{2} $ C) $ \sum\left[\left(\overline{X_{g}}-\overline{X_{G}}\right)^{2} n\right] $ D) $ \sum\left[\left(\overline{X_{g}}-\overline{X_{G}}\right)^{2}\right] $

Accepted Answer

The formula for SS_Total in ANOVA is the sum of the squared differences between each observation and the grand mean.

Question 9

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

A two-way factorial design has two factors, each with two levels. This means there are two main effects (one for each factor) and one interaction effect. Therefore, the correct answer is C, with two main effects and one interaction effect.

Question 10

Researchers often use factorial designs because:
A)they allow us to see the interaction of factors.
B)they more closely approximate the real world
C)both a and b
D)none of the above

Accepted Answer

Factorial designs allow researchers to see the interaction of factors, which is important for understanding how variables work together in the real world. Therefore, both options (a and b) are correct.

Question 11

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

Accepted Answer

A design with two variables each with three levels would be a 3 x 3 design. A 2 x 2 design would only have two levels for each variable, and a 2 x 2 x 2 design would have three variables, not two. A 3 x 3 x 3 design would have three variables, each with three levels.

Question 12

In a study with three levels of factor A, three levels of factor B, and six participants in each condition, the dfs for factors A and B respectively would be _____ and _____.
A)3; 3
B)2; 3
C)3; 2
D)2; 2

Accepted Answer

The answer of In a study with three levels of...

Question 13

In a two-way factorial ANOVA, the formula for calculating df_Error is A)AB(n - 1) B)n - AB C)(A - 1)(B - 1) D)(AB - 1)(N - 1)

Accepted Answer

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

Question 14

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

Accepted Answer

A 3 x 3 x 3 x 3 design involves 4 factors, each with 3 levels. The potential main effects are equal to the number of factors, so there are 4 potential main effects.

Question 15

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

The answer of In a study examining the effects of...

Question 16

In a two-way factorial ANOVA, the formula for calculating df_Total is A)N - 1 B)N - k. C) k - 1. D)N - (k - 1).

Accepted Answer

The total degrees of freedom (df_Total) in a two-way factorial ANOVA is calculated as N - 1, where N is the total number of observations.

Question 17

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

Accepted Answer

A factorial design with two levels of factor A and three levels of factor B results in 2 x 3 = 6 conditions.

Question 18

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

The answer of In a study examining the effects of...

Question 19

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

The answer of When graphed, a significant interaction will definitely...

Question 20

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 independent variables, each with two levels and four levels, respectively. This allows for the possibility of two main effects (one for each independent variable) and one interaction effect. Therefore, the correct answer is B, 2 main effects and 1 interaction effect.

Quiz 12: Experimental Design and Analysis Iv

In a study with three levels of factor A, three levels of factor B, and six participants in each condition, the df error would be

A two-way ANOVA means that the experimental design includes

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

A 2 x 3 x 4 factorial design has _____ potential main effects

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 factorial design involves

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

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

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

Researchers often use factorial designs because:

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

In a study with three levels of factor A, three levels of factor B, and six participants in each condition, the dfs for factors A and B respectively would be _ and _.

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

A 3 x 3 x 3 x 3 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, how many interaction effects are possible?

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

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

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?

When graphed, a significant interaction will definitely have

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

Quiz 12: Experimental Design and Analysis Iv

In a study with three levels of factor A, three levels of factor B, and six participants in each condition, the df error would be

A two-way ANOVA means that the experimental design includes

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

A 2 x 3 x 4 factorial design has _____ potential main effects

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 factorial design involves

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

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

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

Researchers often use factorial designs because:

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

In a study with three levels of factor A, three levels of factor B, and six participants in each condition, the dfs for factors A and B respectively would be _____ and _____.

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

A 3 x 3 x 3 x 3 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, how many interaction effects are possible?

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

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

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?

When graphed, a significant interaction will definitely have

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

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

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

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

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

In a study with three levels of factor A, three levels of factor B, and six participants in each condition, the dfs for factors A and B respectively would be _ and _.

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

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

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