Deck 12: Two-Way Analysis of Variance Anova

Question 1

According to the figure below, which of the following statements would most likely be true?

A) There is no interaction effect.
B) There is an interaction effect.
C) There is a main effect but no interaction effect.
D) There is a simple effect but no interaction effect.

Answer 1

There is an interaction effect.

Question 2

A single-factor research design can be defined as ______.

A) a research design consisting of all possible combinations of two or more independent variables
B) the effect of one independent variable on the dependent variable that changes at the different levels of another independent variable
C) a research design consisting of one independent variable
D) the ability to test interaction effects and the ability to test main effects

Answer 2

a research design consisting of one independent variable

Question 3

According to the figure below, which of the following statements would be true?

A) There is no interaction effect.
B) There is an interaction effect.
C) There is a main effect but no interaction effect.
D) There is a simple effect but no interaction effect.

Answer 3

There is an interaction effect.

Question 4

A ______ is a research design consisting of one independent variable; a ______ is a research design consisting of all possible combination of two or more independent variables.

A) factorial research design; single-factor research design
B) factorial research design; interaction effect
C) single-factor research design; factorial research design
D) single-factor research design; interaction effect

Question 5

If a researcher examines one independent variable, she would be using a ______ research design; if she was examining the possible combinations of two or more independent variables, she would be using a ______ research design.

A) factorial; single-factor
B) single-factor; factorial
C) factorial; interaction effect
D) single-factor; interaction effect

Question 6

According to the following table, which would be true about the interaction effect?

A) There is no interaction effect.
B) There is an interaction effect.
C) There is a main effect but no interaction effect.
D) There is a simple effect but no interaction effect.

Question 7

According to the following table, which would be true about the interaction effect?

A) There is no interaction effect.
B) There is an interaction effect.
C) There is a main effect but no interaction effect.
D) There is a simple effect but no interaction effect.

Question 8

An advantage of a factorial research design over a single-factor research design is the ability to ______.

A) examine the effects of a single independent variable
B) examine a non-effect between the independent and dependent variables
C) eliminate main effects between the single independent variables
D) examine interaction effects between independent variables

Question 9

______ are defined as the effect of an independent variable on the dependent variable within a factorial research design.

A) Simple effects
B) Main effects
C) Interaction effects
D) Dependent effects

Question 10

If a researcher wanted to examine all of the possible combinations of two or more independent variables, she would want to use a ______ research design.

A) factorial
B) main effect
C) interaction effect
D) single-factor

Question 11

According to the figure below, which of the following statements would most likely be true?

A) There is no interaction effect.
B) There is an interaction effect.
C) There is both a main effect and an interaction effect.
D) There is a simple effect but no main effect.

Question 12

A factorial research design can be defined as ______.

A) a research design consisting of all possible combinations of two or more independent variables
B) the effect of one independent variable on the dependent variable that changes at the different levels of another independent variable
C) a research design consisting of one independent variable
D) an independent variable consisting of more than two groups

Question 13

According to the following table, which would be true about the interaction effect?

A) There is no interaction effect.
B) There is an interaction effect.
C) There is both a main effect and an interaction effect.
D) There is a simple effect but no main effect.

Question 14

Factorial research designs allow a researcher to examine what type of effect between variables?

A) non-effect
B) main effect
C) simple effect
D) interaction effect

Question 15

A ______ research design consists of all possible combinations of two or more independent variables.

A) factorial
B) single-factor
C) interaction
D) main effect

Question 16

An interaction effect can be defined as the effect ______.

A) of an independent variable within a single-factor research design
B) of one independent variable on the dependent variable changing at the different levels of another independent variable
C) of one independent variable at one of the levels of another independent variable
D) that does not occur between the independent variables and the dependent variables

Question 17

According to the figure below, which of the following statements would be true?

A) There is no interaction effect.
B) There is an interaction effect.
C) There is a main effect but no interaction effect.
D) There is a simple effect but no interaction effect.

Question 18

According to the figure below, which of the following statements would most likely be true?

A) There is no interaction effect.
B) There is an interaction effect.
C) There is both a main effect and an interaction effect.
D) There is a simple effect but no main effect.

Question 19

______ is a research design consisting of one independent variable.

A) Factorial research design
B) Single-factor research design
C) Interaction effect
D) Main effect

Question 20

______ occurs when the effect of one independent variable on the dependent variable changes at the different levels of another independent variable.

A) An interaction effect
B) A main effect
C) A simple effect
D) A significant effect

Question 21

Marginal means are the means ______.

A) of the dependent variable for a particular combination of independent variables
B) in a table that represent a main effect
C) of the independent variables
D) in a table that represent a simple effect

Question 22

Use the following table for the next five questions

What is the marginal mean for the high crime area?

A) 3.10
B) 3.70
C) 3.40
D) 2.55

Question 23

______ are defined as the means in a table that represent a main effect.

A) Main means
B) Interaction means
C) Cell means
D) Marginal means

Question 24

After calculating the marginal means in the table below, which variable has a significant main effect? (assume any difference between the means implies the main effect is significant)

A) gender
B) crime area
C) both gender and crime area
D) neither gender or crime area

Question 25

After calculating the marginal means in the table below, which variable has a significant main effect? (assume any difference between the means implies the main effect is significant)

A) gender
B) crime area
C) both gender and crime area
D) neither gender or crime area

Question 26

Use the following table for the next five questions

What is the marginal mean for the medium crime area?

A) 3.10
B) 3.70
C) 3.40
D) 2.55

Question 27

A(n) ______ is the effect of one independent variable on the dependent variable that changes at the different levels of another independent variable, while a ______ is the effect of an independent variable on the dependent variable within a factorial research design.

A) interaction effect; main effect
B) main effect; interaction effect
C) main effect; simple effect
D) interaction effect; simple effect

Question 28

Use the following table for the next five questions

What is the marginal mean for men?

A) 3.07
B) 3.10
C) 3.37
D) 3.70

Question 29

Main effects are defined as the effect of ______.

A) the dependent variable on the independent variable within a factorial research design
B) one independent variable at one of the levels of another independent variable
C) an independent variable on the dependent variable within a factorial research design
D) one independent variable on the dependent variable that changes at the different levels of another independent variable

Question 30

Use the following table for the next five questions

What is the marginal mean for women?

A) 3.07
B) 3.10
C) 3.37
D) 3.70

Question 31

______ is the effect of an independent variable on the dependent variable within a factorial research design, while ______ are the means in the table that represent the main effect.

A) Interaction effect; marginal means
B) Interaction effect; cell means
C) Main effect; marginal means
D) Main effect; cell means

Question 32

Use the following table for the next nine questions

What is the marginal mean for men?

A) 1.25
B) 1.33
C) 1.45
D) 1.51

Question 33

Use the following table for the next nine questions

What is the marginal mean for women?

A) 1.25
B) 1.33
C) 1.45
D) 1.51

Question 34

After calculating the marginal means in the table below, which variable has a significant main effect? (assume any difference between the means implies the main effect is significant)

A) gender
B) day of week
C) both gender and day of week
D) neither gender or day of week

Question 35

After calculating the marginal means in the table below, which variable has a significant main effect? (assume any difference between the means implies the main effect is significant)

A) gender
B) crime area
C) both gender and crime area
D) neither gender or crime area

Question 36

After calculating the marginal means in the table below, which variable has a significant main effect? (assume any difference between the means implies the main effect is significant)

A) gender
B) crime area
C) both gender and crime area
D) neither gender or crime area

Question 37

Use the following table for the next nine questions

What is the marginal mean for Monday?

A) .90
B) 1.75
C) 1.45
D) 1.55

Question 38

After calculating the marginal means in the table below, which variable has a significant main effect? (assume any difference between the means implies the main effect is significant)

A) gender
B) crime area
C) both gender and crime area
D) neither gender or crime area

Question 39

After calculating the marginal means in the table below, which variable has a significant main effect? (assume any difference between the means implies the main effect is significant)

A) Gender
B) crime area
C) both gender and crime area
D) neither gender or crime area

Question 40

Use the following table for the next five questions

What is the marginal mean for the low crime area?

A) 3.10
B) 3.70
C) 3.40
D) 2.55

Question 41

Which of the following is an advantage of using factorial designs versus single-factor designs?

A) The interpretation of factorial research designs is simplified by the presence or absence of interaction effects.
B) Testing and interpreting effects in a factorial research design is less complicated than single-factor designs.
C) Factorial designs allow for test the significance of each dependent variable separately from the others.
D) Factorial designs have the ability to study multiple effects in one study.

Question 42

In a two-factor research design, if one independent variable has 3 levels and the other has 2 levels, what is the total number of combinations?

A) 2
B) 3
C) 5
D) 6

Question 43

Which of the following is a disadvantage of using factorial designs versus single-factor designs?

A) Factorial designs allow for the opportunity to determine whether independent variables combine or interact to influence the dependent variable.
B) Testing and interpreting effects in a factorial research design is more complicated than single-factor designs.
C) Factorial designs allow researchers to determine whether interaction effects are present among independent variables.
D) Factorial designs have the ability to study multiple effects in one study.

Question 44

Which of the following is a conceptual benefit of using factorial designs versus single-factor designs?

A) Factorial designs provide the opportunity to determine whether independent variables combine or interact to influence the dependent variable.
B) Testing and interpreting factorial designs is less complicated than single-factor designs.
C) Factorial designs allow for test the significance of each dependent variable separately from the others.
D) The interpretation of factorial designs is simplified by the presence or absence of interaction effects.

Question 45

According to the following table, which type of effects are present?

A) a main effect for gender
B) a main effect for crime area
C) main effects for both gender and crime area and an interaction effect
D) main effects for both gender and crime area but no interaction effect

Question 46

Which of the following is one aspect of the relationship between main effects and interaction effects?

A) The presence or absence of main effects provides no indication of whether an interaction effect is present or absent.
B) The presence or absence of main effects provides an indication as to whether an interaction effect is present or absent.
C) The presence or absence of main effects provides an indication as to whether a simple effect is present or absent.
D) The presence or absence of an interaction effects provides an indication as to whether a simple effect is present or absent.

Question 47

According to the following table, which type of effects are present?

A) a main effect for gender
B) a main effect for crime area
C) main effects for both gender and crime area and an interaction effect
D) main effects for both gender and crime area but no interaction effect

Question 48

According to the following table, which type of effects are present?

A) a main effect for gender
B) a main effect for crime area
C) main effects for both gender and crime area and an interaction effect
D) main effects for both gender and crime area but no interaction effect

Question 49

The total number of combinations in a factorial research design may be calculated by ______.

A) adding the total number of cases for each variable
B) multiplying the number of levels of the independent variables
C) adding the number of levels of the independent variables
D) multiplying the number of levels by the number of cases

Question 50

Graphs that have two parallel lines for the variables indicates______.

A) an interaction effect is present for only one variable
B) an interaction effect is present
C) an interaction effect is not present
D) main effects are absent

Question 51

Use the following table for the next nine questions

What is the marginal mean for Friday?

A) 1.60
B) 1.75
C) 1.45
D) 1.55

Question 52

Use the following table for the next nine questions

What is the marginal mean for Saturday?

A) 1.75
B) 1.60
C) 1.45
D) 1.25

Question 53

Use the following table for the next nine questions

What is the marginal mean for Tuesday?

A) .90
B) 1.75
C) 1.45
D) 1.55

Question 54

According to the following table, which type of effects are present?

A) a main effect for gender
B) a main effect for crime area
C) main effects for both gender and crime area and an interaction effect
D) main effects for both gender and crime area but no interaction effect

Question 55

Use the following table for the next nine questions

What is the marginal mean for Sunday?

A) 1.75
B) 1.60
C) 1.45
D) 1.25

Question 56

Factorial research design can contain both ______.

A) main effects and interaction effects
B) main effects and major effects
C) simple effects and complex effects
D) main effects and dependent effects

Question 57

Use the following table for the next nine questions

What is the marginal mean for Wednesday?

A) .90
B) 1.75
C) 1.45
D) 1.55

Question 58

According to the following table, which type of effects are present?

A) a main effect for gender
B) a main effect for day of week
C) main effects for both gender and day of week and an interaction effect
D) main effects for both gender and day of week but no interaction effect

Question 59

Use the following table for the next nine questions

What is the marginal mean for Thursday?

A) .90
B) 1.75
C) 1.45
D) 1.55

Question 60

Which of the following is an advantage of using factorial designs versus single-factor designs?

A) Factorial designs allow researchers to determine whether interaction effects are present among independent variables.
B) The interpretation of factorial designs is simplified by the presence or absence of interaction effects.
C) Testing and interpreting effects in a factorial research design is less complicated than single-factor designs.
D) Factorial designs allow for test the significance of each dependent variable separately from the others.

Question 61

The degrees of freedom for a factor A that has 3 levels would equal ______.

A) 0
B) 1
C) 2
D) 3

Question 62

In a two-factor research design, if one independent variable has 4 levels and the other has 3 levels, what is the total number of combinations?

A) 12
B) 7
C) 4
D) 3

Question 63

The degrees of freedom for factor A is the number of ______.

A) levels minus one
B) levels for factor A
C) cases for factor A
D) cases for factor A minus one

Question 64

In a two way ANOVA, how many effects (main effects and interaction) are tested?

A) 1
B) 2
C) 3
D) 4

Question 65

What is the total mean for the data in the table below?

A) 3.75
B) 4.35
C) 4.95
D) 5.50

Question 66

Which is the proper way to state the alternative hypothesis for a main effect?

A) H0: an interaction effect does not exist
B) H1: not all µs are equal
C) H1: an interaction effect exists
D) H0: all µs are equal

Question 67

Which is the proper way to state the null hypothesis for the interaction effect?

A) H0: an interaction effect does not exist
B) H1: not all µs are equal
C) H1: an interaction effect exists
D) H0: all µs are equal

Question 68

Which is the proper way to state the alternative hypothesis for the interaction effect?

A) H0: an interaction effect does not exist
B) H1: not all µs are equal
C) H1: an interaction effect exists
D) H0: all µs are equal

Question 69

Within the A*B design, how many different degrees of freedom are calculated to test the main and interaction effects?

A) 1
B) 2
C) 3
D) 4

Question 70

What is the total mean for the data in the table below?

A) 2.13
B) 3.88
C) 4.07
D) 4.69

Question 71

What is the total mean for the data in the table below?

A) 3.27
B) 3.79
C) 4.13
D) 6.54

Question 72

Which symbol represents the number of scores in each combination of the two independent variables?

A) a₁
B) b₁
C) ab
D) NAB

Question 73

The hypotheses for the A * B interaction effect take into consideration ______.

A) the main effects
B) the separate effects
C) the interaction effects
D) the main and interaction effects

Question 74

What is the total mean for the data in the table below?

A) 3.24
B) 3.79
C) 4.86
D) 9.73

Question 75

A researcher is studying the effect of race and crime level. The first factor, race has four groups while the second factor, crime level has three groups. Which of the following would be the correct notation for these factors?

A) a = 3 and b = 4
B) a = 4 and b =3
C) ab = 7
D) N_AB = 7

Question 76

When stating the null and alternative hypotheses, the two main effects are treated as ______.

A) a factorial design
B) single-factor designs
C) independent factor designs
D) dependent factor designs

Question 77

Which is the proper way to state the null hypothesis for a main effect?

A) H0: an interaction effect does not exist
B) H1: not all µs are equal
C) H1: an interaction effect exists
D) H0: all µs are equal

Question 78

What is the total mean for the data in the table below?

A) 25.85
B) 12.93
C) 6.46
D) 6.25

Question 79

What is the total mean for the data in the table below?

A) 3.24
B) 3.46
C) 5.19
D) 10.38

Question 80

What is the total mean for the data in the table below?

A) 4.44
B) 4.57
C) 5.50
D) 6.00