Deck 12: Experimental Design and Analysis Iv

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

Answer 1

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

Answer 2

two independent 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)

Answer 3

A - 1

Question 4

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

A)2
B)3
C)4
D)24

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

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

Question 7

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

A)
B)
C)
D)

Question 8

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

A)
B)
C)
D)

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

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

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

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

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)

Question 14

A 3 x 3 x 3 x 3 design has _____ potential main effects.

A)3
B)4
C)12
D)81

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

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).

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

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

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

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

Question 21

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

A)N - 1
B)B - 1
C)k - 1
D)(k - 1)(N - 1)

Question 22

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

Question 23

In a two-way factorial ANOVA, the formula for calculating SS_A×B is​

A)
B)
C)
D)

Question 24

In a two-way factorial ANOVA, to calculate MS_Factor A we divide _____ by _____.

A)SS_Total; df_Total
B)SS_{Factor A}; df_{Factor A}
C)SS_Within; df_Within
D)SS_Factor A; df_Error

Question 25

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

A)
B)
C)
D)

Question 26

In a two-way factorial ANOVA, to calculate MS_{Factor B} we divide _____ by _____.

A)SS_{Factor B}; df_{Factor B}
B)SS_Total; df_Total
C)SS_Within; df_Within
D)SS_{Factor B}; df_Error

Question 27

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

Question 28

In a two-way factorial ANOVA, to calculate MS_A×B we divide _____ by _____.

A)SS_{Factor B}; df_{Factor B}
B)SS_Total; df_Total
C)SS_A×B; df_A×B
D)SS_A×B; df_Error

Question 29

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

Question 30

A factorial design has two levels of factor A and three levels of factor B with six participants in each condition. The F-ratio for factor A would have _____ degrees of freedom.

A)1, 35
B)1, 30
C)2, 35
D)2, 30

Question 31

A factorial design has two levels of factor A and three levels of factor B with six participants in each condition. The F-ratio for factor B would have _____ degrees of freedom.

A)1, 35
B)1, 30
C)2, 35
D)2, 30

Question 32

In a two-way factorial ANOVA, to calculate MS_Error we divide _____ by _____.

A)SS_Total; df_Total
B)SS_Between; df_Between
C)SS_Error; df_Error
D)SS_Between; df_Within

Question 33

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

A)
B)
C)
D)

Question 34

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

A)2 x 4
B)2 x 2
C)2 x 2 x 2 x 2
D)2 x 3 x 4

Question 35

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)

Question 36

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

A)9​
B)6
C)4
D)3

Question 37

A factorial design has two levels of factor A and three levels of factor B with six participants in each condition. The F-ratio for the interaction of A x B would have _____ degrees of freedom.

A)2, 35
B)2, 30
C)6, 35
D)6, 30

Question 38

In a two-way factorial ANOVA, the formula for calculating df_A×B is

A)n - 1
B)n - AB
C)(A - 1)(B - 1)
D)(AB - 1)(N - 1)

Question 39

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

Question 40

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

Question 41

In a two-way factorial ANOVA, the final F-ratio for Factor A×B is determined by dividing _____ by _____.

A)MS_Error; MS_Between
B)MS_{Factor A}; MS_Error
C)MS_Between; df_Between
D)MS_A×B; MS_Error

Question 42

In a two-way factorial ANOVA, the final F-ratio for Factor B is determined by dividing _____ by _____.

A)MS_{Factor B}; MS_Error
B)MS_Error; MS_Between
C)MS_Between; df_Between
D)MS_{Factor B}; df_Within

Question 43

Provide the factorial notation for the following experimental design. Two independent variables:​
1. Crust Type (thick, thin, pan, and hand-tossed)
2. Topping Type (plain, sausage, pepperoni, veggie, anchovy, and everything)

Question 44

Two-way ANOVA is to _____ variables as three-way ANOVA is to _____ variables

A)two independent; three dependent
B)two dependent; three dependent
C)two independent; three independent
D)two dependent; three independent

Question 45

How many conditions (cells) are there in a 3 x 5 design?

Question 46

How many main effects and interaction effects could you have in a 4 x 6 factorial design?

Question 47

The following ANOVA Table corresponds to an experiment with two IV's: 1) Time of Day (Morning or Afternoon) and 2) Room Temperature (Cool, Normal, or Warm). The productivity level (on a 0-100 scale) of employees during the morning or afternoon is measured in cool, normal, or warm working conditions. This is a completely between-participants design. The corresponding means for each group follow:
Cool Temp/Afternoon - 55
Cool Temp/Morning - 100
Normal Temp/Afternoon - 60
Normal Temp/Morning - 60
Warm Temp/Afternoon - 50
Warm Temp/Morning - 10
Construct the matrix showing the means in each cell, give the factorial notation, fill in the ANOVA Table, draw a graph showing the results, calculate Tukey's HSD if appropriate, and draw conclusions concerning this study. There are 10 participants in each cell (condition).

Question 48

In a two-way factorial ANOVA, the final F-ratio for Factor A is determined by dividing _____ by _____.

A)MS_Error; MS_Between
B)MS_{Factor A}; MS_Error
C)MS_Between; df_Between
D)MS_Error; df_Within