Chapter 12: Two-Way Analysis of Variance (ANOVA)

Test Bank

Multiple Choice

1. ______ is a research design consisting of one independent variable.

a. Factorial research design

b. Single-factor research design

c. Interaction effect

d. Main effect

Cognitive Domain: Knowledge

Answer Location: Introduction to Factorial Research Designs

Difficulty Level: Easy

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

Cognitive Domain: Knowledge

Answer Location: Introduction to Factorial Research Designs

Difficulty Level: Easy

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

a. factorial

b. single-factor

c. interaction

d. main effect

Cognitive Domain: Knowledge

Answer Location: Introduction to Factorial Research Designs

Difficulty Level: Easy

4. 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

Cognitive Domain: Knowledge

Answer Location: Introduction to Factorial Research Designs

Difficulty Level: Easy

5. 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

Cognitive Domain: Comprehension

Answer Location: Introduction to Factorial Research Designs

Difficulty Level: Medium

6. 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

Cognitive Domain: Comprehension

Answer Location: Introduction to Factorial Research Designs

Difficulty Level: Medium

7. 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

Cognitive Domain: Comprehension

Answer Location: Introduction to Factorial Research Designs

Difficulty Level: Medium

8. ______ 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

Cognitive Domain: Knowledge

Answer Location: Introduction to Factorial Research Designs

Difficulty Level: Easy

9. 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

Cognitive Domain: Knowledge

Answer Location: Testing Interaction Effects

Difficulty Level: Easy

10. 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

Cognitive Domain: Knowledge

Answer Location: Testing Interaction Effects

Difficulty Level: Easy

11. 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

Cognitive Domain: Comprehension

Answer Location: Testing Interaction Effects

Difficulty Level: Medium

12. 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.

Cognitive Domain: Comprehension

Answer Location: An Example of Interaction Effect

Difficulty Level: Medium

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.

Cognitive Domain: Comprehension

Answer Location: An Example of no Interaction Effect

Difficulty Level: Medium

14. 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.

Cognitive Domain: Comprehension

Answer Location: An Example of no Interaction Effect

Difficulty Level: Medium

15. 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.

Cognitive Domain: Comprehension

Answer Location: An Example of no Interaction Effect

Difficulty Level: Medium

16. 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.

Cognitive Domain: Comprehension

Answer Location: An Example of Interaction Effect

Difficulty Level: Medium

17. 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.

Cognitive Domain: Comprehension

Answer Location: An Example of Interaction Effect

Difficulty Level: Medium

18. 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.

Cognitive Domain: Comprehension

Answer Location: An Example of Interaction Effect

Difficulty Level: Medium

19. 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.

Cognitive Domain: Comprehension

Answer Location: An Example of Interaction Effect

Difficulty Level: Medium

20. ______ 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

Cognitive Domain: Knowledge

Answer Location: Testing Main Effects

Difficulty Level: Easy

21. 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

Cognitive Domain: Knowledge

Answer Location: Testing Main Effects

Difficulty Level: Easy

22. 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

Cognitive Domain: Comprehension

Answer Location: Testing Main Effects

Difficulty Level: Medium

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

Cognitive Domain: Knowledge

Answer Location: Testing Main Effects

Difficulty Level: Easy

24. 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

Cognitive Domain: Knowledge

Answer Location: Testing Main Effects

Difficulty Level: Easy

25. The main effects would be equivalent to what type of information?

a. information that would be obtained by conducting separate single-factor research designs for each of the independent variables

b. information that would be obtained by conducting separate single-factor research designs for each of the dependent variables

c. information that would be obtained by conducting several factorial research designs

d. information that would be obtained by conducting several simple factorial designs for each of the independent factors

Ans; A

Cognitive Domain: Comprehension

Answer Location: Testing Main Effects

Difficulty Level: Medium

26. ______ 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

Cognitive Domain: Comprehension

Answer Location: Testing Main Effects

Difficulty Level: Medium

27. 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

Cognitive Domain: Application

Answer Location: The Relationship Between Main Effects and Interaction Effects

Difficulty Level: Hard

28. 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

Cognitive Domain: Application

Answer Location: The Relationship Between Main Effects and Interaction Effects

Difficulty Level: Hard

29. 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

Cognitive Domain: Application

Answer Location: The Relationship Between Main Effects and Interaction Effects

Difficulty Level: Hard

30. 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

Cognitive Domain: Application

Answer Location: The Relationship Between Main Effects and Interaction Effects

Difficulty Level: Hard

31. 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

Cognitive Domain: Application

Answer Location: The Relationship Between Main Effects and Interaction Effects

Difficulty Level: Hard

32. 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

Cognitive Domain: Application

Answer Location: The Relationship Between Main Effects and Interaction Effects

Difficulty Level: Hard

33. 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

Cognitive Domain: Application

Answer Location: The Relationship Between Main Effects and Interaction Effects

Difficulty Level: Hard

NARRBEGIN: CrimeTable

Use the following table for the next five questions (34–38):

NARREND

34. What is the marginal mean for the low crime area?

a. 3.10

b. 3.70

c. 3.40

d. 2.55

Cognitive Domain: Application

Answer Location: Testing Main Effects

Difficulty Level: Hard

NAR: CrimeTable

35. What is the marginal mean for the medium crime area?

a. 3.10

b. 3.70

c. 3.40

d. 2.55

Cognitive Domain: Application

Answer Location: Testing Main Effects

Difficulty Level: Hard

NAR: CrimeTable

36. What is the marginal mean for the high crime area?

a. 3.10

b. 3.70

c. 3.40

d. 2.55

Cognitive Domain: Application

Answer Location: Testing Main Effects

Difficulty Level: Hard

NAR: CrimeTable

37. What is the marginal mean for men?

a. 3.07

b. 3.10

c. 3.37

d. 3.70

Cognitive Domain: Application

Answer Location: Testing Main Effects

Difficulty Level: Hard

NAR: CrimeTable

38. What is the marginal mean for women?

a. 3.07

b. 3.10

c. 3.37

d. 3.70

Cognitive Domain: Application

Answer Location: Testing Main Effects

Difficulty Level: Hard

NAR: CrimeTable

NARRBEGIN:DailyTable

Use the following table for the next nine questions (39–47):

NARREND: DailyTable

39. What is the marginal mean for women?

a. 1.25

b. 1.33

c. 1.45

d. 1.51

Cognitive Domain: Application

Answer Location: Testing Main Effects

Difficulty Level: Hard

NAR: DailyTable

40. What is the marginal mean for men?

a. 1.25

b. 1.33

c. 1.45

d. 1.51

Cognitive Domain: Application

Answer Location: Testing Main Effects

Difficulty Level: Hard

41. What is the marginal mean for Monday?

a. .90

b. 1.75

c. 1.45

d. 1.55

Cognitive Domain: Application

Answer Location: Testing Main Effects

Difficulty Level: Hard

NAR: DailyTable

42. What is the marginal mean for Tuesday?

a. .90

b. 1.75

c. 1.45

d. 1.55

Cognitive Domain: Application

Answer Location: Testing Main Effects

Difficulty Level: Hard

NAR: DailyTable

43. What is the marginal mean for Wednesday?

a. .90

b. 1.75

c. 1.45

d. 1.55

Cognitive Domain: Application

Answer Location: Testing Main Effects

Difficulty Level: Hard

NAR: DailyTable

44. What is the marginal mean for Thursday?

a. .90

b. 1.75

c. 1.45

d. 1.55

Cognitive Domain: Application

Answer Location: Testing Main Effects

Difficulty Level: Hard

NAR: DailyTable

45. What is the marginal mean for Friday?

a. 1.60

b. 1.75

c. 1.45

d. 1.55

Cognitive Domain: Application

Answer Location: Testing Main Effects

Difficulty Level: Hard

NAR:DailyTable

46. What is the marginal mean for Saturday?

a. 1.75

b. 1.60

c. 1.45

d. 1.25

Cognitive Domain: Application

Answer Location: Testing Main Effects

Difficulty Level: Hard

NAR: DailyTable

47. What is the marginal mean for Sunday?

a. 1.75

b. 1.60

c. 1.45

d. 1.25

Cognitive Domain: Application

Answer Location: Testing Main Effects

Difficulty Level: Hard

NAR: DailyTable

48. 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

Cognitive Domain: Knowledge

Answer Location: The Relationship Between Main Effects and Interaction Effects

Difficulty Level: Easy

49. 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.

Cognitive Domain: Comprehension

Answer Location: The Relationship Between Main Effects and Interaction Effects

Difficulty Level: Medium

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

Cognitive Domain: Application

Answer Location: The Relationship Between Main Effects and Interaction Effects

Difficulty Level: Hard

51. 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

Cognitive Domain: Application

Answer Location: The Relationship Between Main Effects and Interaction Effects

Difficulty Level: Hard

52. 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

Cognitive Domain: Application

Answer Location: The Relationship Between Main Effects and Interaction Effects

Difficulty Level: Hard

53. 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

Cognitive Domain: Application

Answer Location: The Relationship Between Main Effects and Interaction Effects

Difficulty Level: Hard

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

Cognitive Domain: Application

Answer Location: The Relationship Between Main Effects and Interaction Effects

Difficulty Level: Hard

55. 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

Cognitive Domain: Application

Answer Location: The Relationship Between Main Effects and Interaction Effects

Difficulty Level: Hard

56. 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.

Cognitive Domain: Comprehension

Answer Location: Factorial Designs vs. Single-Factor Designs: Advantages and Disadvantages

Difficulty Level: Medium

57. 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.

Cognitive Domain: Comprehension

Answer Location: Factorial Designs vs. Single-Factor Designs: Advantages and Disadvantages

Difficulty Level: Medium

58. 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.

Cognitive Domain: Comprehension

Answer Location: Factorial Designs vs. Single-Factor Designs: Advantages and Disadvantages

Difficulty Level: Medium

59. 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.

Cognitive Domain: Comprehension

Answer Location: Factorial Designs vs. Single-Factor Designs: Advantages and Disadvantages

Difficulty Level: Medium

60. 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

Cognitive Domain: Comprehension

Answer Location: The Two-Factor (A × B) Research Design

Difficulty Level: Medium

61. 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

Cognitive Domain: Comprehension

Answer Location: The Two-Factor (A × B) Research Design

Difficulty Level: Medium

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

Cognitive Domain: Comprehension

Answer Location: The Two-Factor (A × B) Research Design

Difficulty Level: Medium

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

a. a₁

b. b₁

c. ab

d. NAB

Cognitive Domain: Knowledge

Answer Location: Notational System for Components of the Two-Factor Research Design

Difficulty Level: Easy

64. 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

Cognitive Domain: Comprehension

Answer Location: Notational System for Components of the Two-Factor Research Design

Difficulty Level: Medium

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

a. 4.44

b. 4.57

c. 5.50

d. 6.00

Cognitive Domain: Application

Answer Location: Notational System for Means in the two-Factor Research Design

Difficulty Level: Hard

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

a. 2.13

b. 3.88

c. 4.07

d. 4.69

Cognitive Domain: Application

Answer Location: Notational System for Means in the two-Factor Research Design

Difficulty Level: Hard

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

a. 3.75

b. 4.35

c. 4.95

d. 5.50

Cognitive Domain: Application

Answer Location: Notational System for Means in the two-Factor Research Design

Difficulty Level: Hard

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

a. 3.27

b. 3.79

c. 4.13

d. 6.54

Cognitive Domain: Application

Answer Location: Notational System for Means in the two-Factor Research Design

Difficulty Level: Hard

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

a. 3.24

b. 3.79

c. 4.86

d. 9.73

Cognitive Domain: Application

Answer Location: Notational System for Means in the two-Factor Research Design

Difficulty Level: Hard

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

a. 3.24

b. 3.46

c. 5.19

d. 10.38

Cognitive Domain: Application

Answer Location: Notational System for Means in the Two-Factor Research Design

Difficulty Level: Hard

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

a. 25.85

b. 12.93

c. 6.46

d. 6.25

Cognitive Domain: Application

Answer Location: Notational System for Means in the two-Factor Research Design

Difficulty Level: Hard

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

a. 1

b. 2

c. 3

d. 4

Cognitive Domain: Knowledge

Answer Location: State the Null and Alternative Hypotheses (H₀ and H₁)

Difficulty Level: Easy

73. 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

Cognitive Domain: Knowledge

Answer Location: Main Effect of Factor A

Difficulty Level: Easy

74. 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

Cognitive Domain: Knowledge

Answer Location: A × B Interaction Effect

Difficulty Level: Easy

75. 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

Cognitive Domain: Knowledge

Answer Location: Main Effect of Factor A

Difficulty Level: Easy

76. 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

Cognitive Domain: Knowledge

Answer Location: Main Effect of Factor A

Difficulty Level: Easy

77. 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

Cognitive Domain: Knowledge

Answer Location: A × B Interaction Effect

Difficulty Level: Easy

78. 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

Cognitive Domain: Knowledge

Answer Location: A × B Interaction Effect

Difficulty Level: Easy

79. 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

Cognitive Domain: Knowledge

Answer Location: Calculate the Degrees of Freedom (df)

Difficulty Level: Easy

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

a. 0

b. 1

c. 2

d. 3

Cognitive Domain: Knowledge

Answer Location: Calculate the Degrees of Freedom (df)

Difficulty Level: Easy

81. 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

Cognitive Domain: Comprehension

Answer Location: Calculate the Degrees of Freedom (df)

Difficulty Level: Medium

82. The degrees of freedom for a factor B that has 2 levels would equal ______.

a. 0

b. 1

c. 2

d. 3

Cognitive Domain: Knowledge

Answer Location: Calculate the Degrees of Freedom (df)

Difficulty Level: Easy

83. The degrees of freedom for factor B is the number of ______.

a. cases for factor A

b. levels for factor A

c. levels minus one

d. cases for factor A minus one

Cognitive Domain: Comprehension

Answer Location: Calculate the Degrees of Freedom (df)

Difficulty Level: Medium

84. The number of degrees of freedom for an A*B interaction effect is ______.

a. the number of factors minus one

b. based on the number of levels for factor A

c. based on the number of levels for factor B

d. based on the number of levels for factors A and B

Cognitive Domain: Knowledge

Answer Location: A x B Interaction Effect (dfA × B)

Difficulty Level: Easy

85. For a factor A with 3 levels, factor B with 2 levels, and NAB = 10, what would be dfWG?

a. 54

b. 60

c. 18

d. 45

Cognitive Domain: Comprehension

Answer Location: Within-Group Variance (dfWG)

Difficulty Level: Medium

86. For a factor A with 3 levels, factor B with 3 levels, and NAB = 8, what would be dfWG?

a. 28

b. 32

c. 63

d. 72

Cognitive Domain: Comprehension

Answer Location: Within-Group Variance (dfWG)

Difficulty Level: Medium

87. For α = .05 and df = 2,40, what is the critical value?

a. 4.08

b. 3.31

c. 3.23

d. 2.23

Cognitive Domain: Application

Answer Location: Set Alpha (α), Identify the Critical Values, and State Decision Rules

Difficulty Level: Hard

88. For α = .05 and df = 1,58, what is the critical value?

a. 4.02

b. 4.00

c. 3.32

d. 2.23

Cognitive Domain: Application

Answer Location: Set Alpha (α), Identify the Critical Values, and State Decision Rules

Difficulty Level: Hard

89. For α = .05 and df = 1,25, what is the critical value?

a. 4.08

b. 4.24

c. 3.38

d. 2.92

Cognitive Domain: Application

Answer Location: Set Alpha (α), Identify the Critical Values, and State Decision Rules

Difficulty Level: Hard

90. For α = .05 and df = 4, 15, what is the critical value?

a. 3.68

b. 3.28

c. 3.06

d. 2.90

Cognitive Domain: Application

Answer Location: Set Alpha (), Identify the Critical Values, and State Decision Rules

Difficulty Level: Hard

91. For α = .05, dfA = 1, dfB = 2, and dfWG = 6, what is the critical value for the interaction effect?

a. 5.99

b. 5.14

c. 4.74

d. 5.79

Cognitive Domain: Application

Answer Location: A x B Interaction Effect

Difficulty Level: Hard

92. For α = .05, dfA = 2, dfB = 3, and dfWG = 24, what is the critical value for the interaction effect?

a. 3.40

b. 2.78

c. 2.51

d. 2.49

Cognitive Domain: Application

Answer Location: A × B Interaction Effect

Difficulty Level: Hard

93. What is the mean square for the main effect of factor A (MS_A)?

a. 3.81

b. 160.11

c. 122.81

d. 75.31

Cognitive Domain: Application

Answer Location: Calculate the Mean Squares (MS)

Difficulty Level: Hard

94. What is the mean square for the main effect of factor A (MS_A)?

a. 27.50

b. 66.28

c. 58.73

d. 44.05

Cognitive Domain: Application

Answer Location: Calculate the Mean Squares (MS)

Difficulty Level: Hard

95. What is the mean square for the main effect of factor B (MS_B)?

a. 3.81

b. 160.11

c. 75.31

d. 122.83

Cognitive Domain: Application

Answer Location: Calculate the Mean Squares (MS)

Difficulty Level: Hard

96. What is the mean square for the main effect of factor B (MS_B)?

a. 27.50

b. 66.28

c. 58.73

d. 44.05

Cognitive Domain: Application

Answer Location: Calculate the Mean Squares (MS)

Difficulty Level: Hard

97. What is the mean square for the A × B interaction effect (MS_A×B)?

a. 75.31

b. 160.11

c. 122.81

d. 3.81

Cognitive Domain: Application

Answer Location: Calculate the Mean Squares (MS)

Difficulty Level: Hard

98. What is the mean square for the A × B interaction effect (MS_A×B)?

a. 27.50

b. 66.28

c. 58.73

d. 44.05

Cognitive Domain: Application

Answer Location: Calculate the Mean Squares (MS)

Difficulty Level: Hard

99. What is the mean square for within-group variance (MS_WG)?

a. 75.31

b. 3.81

c. 122.81

d. 160.11

Cognitive Domain: Application

Answer Location: Calculate the Mean Squares (MS)

Difficulty Level: Hard

100. Calculate the F-ratio for main effect of factor A (FA): MSA= 458.00; MSB = 6841.00; MSAxB = 53.00; MSWG = 10.40.

a. 44.04

b. 8.64

c. 4.58

d. 4.04

Cognitive Domain: Application

Answer Location: Calculate Statistics: F-Ratios for the two-Way ANOVA

Difficulty Level: Medium

101. Calculate the F-ratio for main effect of factor B (FB): MSA= 458.00; MSB = 6841.00; MSAxB = 53.00; MSWG = 10.40.

a. 684.10

b. 657.79

c. 129.08

d. 14.94

Cognitive Domain: Application

Answer Location: Calculate Statistics: F-Ratios for the two-Way ANOVA

Difficulty Level: Medium

102. Calculate the F-ratio for the A × B interaction effect (FAxB):

MSA= 458.00; MSB = 6841.00; MSAxB = 53.00; MSWG = 10.40.

a. 657.79

b. 44.04

c. 8.64

d. 5.10

Cognitive Domain: Application

Answer Location: Calculate Statistics: F-Ratios for the two-Way ANOVA

Difficulty Level: Medium

NARRBEGIN: Data12.1

Use the following data for questions 103–105: MSA= 160.11; MSB = 122.81; MSAxB = 75.31; and MSWG = 3.81.

NARREND: Data12.1

103. Calculate the F-ratio for main effect of factor A (FA).

a. 19.77

b. 32.23

c. 42.02

d. 1.30

Cognitive Domain: Application

Answer Location: Calculate Statistics: F-Ratios for the two-Way ANOVA

Difficulty Level: Hard

NAR: Data12.1

104. Calculate the F-ratio for main effect of factor B (FB).

a. 42.02

b. 32.23

c. 3.23

d. 1.63

Cognitive Domain: Application

Answer Location: Calculate Statistics: F-Ratios for the two-Way ANOVA

Difficulty Level: Hard

NAR: Data12.1

105. Calculate the F-ratio for the A × B interaction effect (FA_×B).

a. 32.23

b. 26.80

c. 19.77

d. 9.77

Cognitive Domain: Application

Answer Location: Calculate Statistics: F-ratios for the two-way ANOVA

Difficulty Level: Hard

NAR: Data12.1

NARRBEGIN: Data12.2

Use the following data for questions 106–108: MSA= 20.167; MSB = 100.167; MSAxB= 8.167; and MSWG = 2.056.

NARREND: Data12.2

106. Calculate the F-ratio for main effect of factor A (FA).

a. 3.97

b. 9.81

c. 12.26

d. 48.73

Cognitive Domain: Application

Answer Location: Calculate Statistics: F-Ratios for the two-Way ANOVA

Difficulty Level: Hard

NAR: Data12.2

107. Calculate the F-ratio for main effect of factor B (FB).

a. 3.97

b. 9.81

c. 12.26

d. 48.73

Cognitive Domain: Application

Answer Location: Calculate Statistics: F-Ratios for the two-Way ANOVA

Difficulty Level: Medium

NAR: Data12.2

108. Calculate the F-ratio for the A × B interaction effect (FA_×B).

a. 3.97

b. 9.81

c. 12.26

d. 48.73

Cognitive Domain: Application

Answer Location: Calculate Statistics: F-Ratios for the two-Way ANOVA

Difficulty Level: Hard

NAR: Data12.2

109. If FA = 47.71 > 3.40, the researcher would ______.

a. reject H0 (p < .05)

b. not reject H0 (p > .05)

c. reject H0 (p < .01)

d. not reject H0 (p < .05)

Cognitive Domain: Application

Answer Location: Make Decisions Whether to Reject the Null Hypotheses

Difficulty Level: Hard

110. If FA = 3.66 > 3.40, the researcher would ______.

a. reject H0 (p < .05)

b. not reject H0 (p > .05)

c. reject H0 (p < .01)

d. not reject H0 (p < .05)

Cognitive Domain: Application

Answer Location: Make Decisions Whether to Reject the Null Hypotheses

Difficulty Level: Hard

111. If FB = 3.25 < 3.40, the researcher would ______.

a. reject H0 (p < .05)

b. not reject H0 (p < .05)

c. reject H0 (p < .01)

d. not reject H0 (p > .05)

Cognitive Domain: Application

Answer Location: Make Decisions Whether to Reject the Null Hypotheses

Difficulty Level: Hard

112. If FAxB = 1.62 < 3.40, the researcher would ______.

a. reject H0 (p < .05)

b. not reject H0 (p > .05)

c. reject H0 (p < .01)

d. not reject H0 (p < .05)

Cognitive Domain: Application

Answer Location: Make Decisions Whether to Reject the Null Hypotheses

Difficulty Level: Hard

113. If FA = 4.73 with df = 3,40, the researcher would ______.

a. reject the null p < .05 but not < .01

b. reject the null p < .05 and < .01

c. not reject the null p > .05

d. not reject the null p > .01 and .05

Cognitive Domain: Application

Answer Location: Determine the Levels of Significance

Difficulty Level: Hard

114. If FB = 5.22 with df = 3,40, the researcher would ______.

a. reject the null p < .05 but not < .01

b. reject the null p < .05 and < .01

c. not reject the null p > .05

d. not reject the null p > .01 and .05

Cognitive Domain: Application

Answer Location: Determine the Levels of Significance

Difficulty Level: Hard

115. If F_A×B = 3.22 with df = 3,40, the researcher would ______.

a. reject the null p < .05 but not < .01

b. reject the null p < .05 and < .01

c. not reject the null p < .05

d. not reject the null p > .01 and .05

Cognitive Domain: Application

Answer Location: Determine the Levels of Significance

Difficulty Level: Hard

116. If FAxB = 3.12 with df = 5,85, the researcher would ______.

a. reject the null p < .05 but not < .01

b. reject the null p < .05 and < .01

c. not reject the null p < .05

d. not reject the null p > .01 and .05

Cognitive Domain: Application

Answer Location: Determine the Levels of Significance

Difficulty Level: Hard

117. A researcher hypothesizes a relationship between anxiety levels and one’s level of fear. If she reports “F(2, 24) = 1.24, p >.05”, her research hypothesis has ______ because the null hypothesis was ______.

a. been supported; rejected

b. been supported; not rejected

c. not been supported; not rejected

d. not been supported; rejected

Cognitive Domain: Application

Answer Location: Draw Conclusions From the Analyses

Difficulty Level: Hard

118. A researcher hypothesizes a relationship between anxiety levels and one’s level of fear. If she reports “F(1, 30) = 5.25, p <.05”, her research hypothesis has ______ because the null hypothesis was ______.

a. been supported; rejected

b. been supported; not rejected

c. not been supported; not rejected

d. not been supported; rejected

Cognitive Domain: Application

Answer Location: Draw Conclusions From the Analyses

Difficulty Level: Medium

119. A researcher hypothesizes a relationship between police satisfaction and one’s level of fear. If she reports “F(3, 30) = 4.25, p <.05”, her research hypothesis has ______ because the null hypothesis was ______.

a. been supported; rejected

b. been supported; not rejected

c. not been supported; not rejected

d. not been supported; rejected

Cognitive Domain: Application

Answer Location: Draw Conclusions From the Analyses

Difficulty Level: Hard

120. A researcher hypothesizes a relationship between police satisfaction and one’s level of fear. If she reports “F(2, 20) = 3.25, p <.05”, her research hypothesis has ______ because the null hypothesis was ______.

a. been supported; rejected

b. been supported; not rejected

c. not been supported; not rejected

d. not been supported; rejected

Cognitive Domain: Application

Answer Location: Draw Conclusions From the Analyses

Difficulty Level: Hard

121. What is R²A.? SSA = .96; SSB = .34; SS_A×B = 2.16; SST = 9.64.

a. .10

b. .09

c. .04

d. .01

Cognitive Domain: Application

Answer Location: Calculate Measures of Effect Size (R²)

Difficulty Level: Hard

122. What is R²B? SSA = .96; SSB = .34; SS_A×B = 2.16; SST = 9.64.

a. .04

b. .09

c. .10

d. 4.0

Cognitive Domain: Application

Answer Location: Calculate Measures of Effect Size(R²)

Difficulty Level: Hard

123. What is R2A_×B? SSA = .96; SSB = .34; SSA_×B = 2.16; SST = 9.64.

a. 2.2

b. .22

c. .10

d. .01

Cognitive Domain: Application

Answer Location: Calculate Measures of Effect Size(R²)

Difficulty Level: Hard

124. What is R²A? SSA = 10.64; SSB = 8.93; SSA _×B = 15.15; SST = 49.56.

a. 2.14

b. .31

c. .18

d. .21

Cognitive Domain: Application

Answer Location: Calculate Measures of Effect Size(R²)

Difficulty Level: Hard

125. What is R²B? SSA = 10.64; SSB = 8.93; SSA _×B = 15.15; SST = 49.56.

a. 2.14

b. .31

c. .21

d. .18

Cognitive Domain: Application

Answer Location: Calculate Measures of Effect Size(R²)

Difficulty Level: Hard

126. What is R²A_×B? SSA = 10.64; SSB = 8.93; SS_A×B = 15.15; SST = 49.56.

a. 2.14

b. .31

c. .21

d. .18

Cognitive Domain: Application

Answer Location: Calculate Measures of Effect Size(R²)

Difficulty Level: Hard

127. An effect of one independent variable at one of the levels of another independent variable is known as a ______.

a. main effect

b. interaction effect

c. dependent effect

d. simple effect

Cognitive Domain: Knowledge

Answer Location: Calculate the F-Ratios (F)

Difficulty Level: Easy

True/False

1. Within a factorial research design, the presence or absence of main effects provides no indication of whether an interaction effect is present or absent, and vice versa.

Cognitive Domain: Knowledge

Answer Location: The Relationship Between Main Effects and Interaction Effects

Difficulty Level: Easy

2. Within a factorial research design, whether and how one interprets main effects depends on the presence or absence of simple effects.

Cognitive Domain: Knowledge

Answer Location: The Relationship Between Main Effects and Interaction Effects

Difficulty Level: Easy

3. Factorial research design offers the ability to study multiple main effects in one study.

Cognitive Domain: Comprehension

Answer Location: Factorial Designs vs Single-Factor Designs: Advantages and Disadvantages

Difficulty Level: Medium

4. Factorial research designs allow researchers to determine whether an interaction effect exists between dependent variables.

Answer Location: Factorial Designs vs Single-Factor Designs: Advantages and Disadvantages

Difficulty Level: Medium

5. An F-ratio statistic contains between-group and within-group variance.

Cognitive Domain: Knowledge

Answer Location: F-Ratios in the Two-Factor Research Design

Difficulty Level: Easy