Question 1

In a two-way ANOVA, if dfbet(A) = 2, dfbet(B) = 3, and dfwi = 72, how many treatment groups were involved in the study and how many subjects participated?

Accepted Answer

There were 12 groups in the study and 84 participants.

Question 2

Using symbolic notation, write the null hypotheses for a study that is examining the effects of three different kinds of incentives (Factor A) for males and females (Factor B) on purchasing decisions.

Accepted Answer

H₀: μ_A1 = μ_A2 = μ_A3 H₀: μ_B1 = μ_B2 H₀: Factors A and B do not have a significant interaction

Question 3

Main effects refer to

Accepted Answer

A)  any interactions among the independent variables in a factorial ANOVA. 
B)  the effects due to the independent variables in a factorial ANOVA. 
C)  the effects due to the dependent variables in a factorial ANOVA. 
D)  significant effects. 
A)  any interactions among the independent variables in a factorial ANOVA. 
B)  the effects due to the independent variables in a factorial ANOVA. 
C)  the effects due to the dependent variables in a factorial ANOVA. 
D)  significant effects. B

Question 4

In a factorial ANOVA, interaction effects refer to

Accepted Answer

A)  the effects due the different levels of an independent variable. 
B)  the case in which there is more than one main effect. 
C)  the case in which one independent variable is affected by different levels of other independent variables. 
D)  how the dependent variable is influenced by an independent variable. 
A)  the effects due the different levels of an independent variable. 
B)  the case in which there is more than one main effect. 
C)  the case in which one independent variable is affected by different levels of other independent variables. 
D)  how the dependent variable is influenced by an independent variable.

Question 5

_______________ refers to the variability within each group due to individual differences and experimental error.

Accepted Answer

A)  SSwi 
B)  SSbet 
C)  SStotal 
D)  SSinteraction 
A)  SSwi 
B)  SSbet 
C)  SStotal 
D)  SSinteraction

Question 6

How many mean square values are required for a 2 x 2 ANOVA?

Accepted Answer

A)  one 
B)  two 
C)  three 
D)  four 
A)  one 
B)  two 
C)  three 
D)  four

Question 7

A factorial analysis was conducted with 80 participants distributed equally across the four levels of Factor A and five levels of Factor B. Determine dfbet(A), dfbet(B), dfbet(AB), and dfwi.

Accepted Answer

df_bet(A) = A -1 = 4 - 1 = 3 df_bet(B) = B -

Question 8

How can line graphs be used to identify main effects and interaction effects in a two-way ANOVA?

Accepted Answer

Main effects are suggested whe

Question 9

In the line graph of a two-way ANOVA, if the lines for Factors A and B cross like an X,

Accepted Answer

A)  a main effect is suggested for Factor A. 
B)  a main effect is suggested for Factor B. 
C)  an interaction between Factors A and B is suggested. 
D)  All of the above are true. 
A)  a main effect is suggested for Factor A. 
B)  a main effect is suggested for Factor B. 
C)  an interaction between Factors A and B is suggested. 
D)  All of the above are true.

Question 10

In a factorial ANOVA with dfbet(A) = 5 and dfbet(B) = 4, k = _______.

Accepted Answer

A)  9 
B)  20 
C)  30 
D)  40 
A)  9 
B)  20 
C)  30 
D)  40

Question 11

______________ refers to the variability between the different groups due to Factor A, Factor B, and the interaction between Factors A and B.

Accepted Answer

A)  SStotal 
B)  SSwi 
C)  SSbet 
D)  SSinteraction 
A)  SStotal 
B)  SSwi 
C)  SSbet 
D)  SSinteraction

Question 12

A supplement to the eta squared effect size is

Accepted Answer

A)  gamma squared. 
B)  omega squared. 
C)  delta squared. 
D)  zeta squared. 
A)  gamma squared. 
B)  omega squared. 
C)  delta squared. 
D)  zeta squared.

Question 13

A cell in a factorial ANOVA

Accepted Answer

A)  is a particular treatment group. 
B)  is identified by its own subscript. 
C)  represents a level of a particular independent variable. 
D)  All of the above are true. 
A)  is a particular treatment group. 
B)  is identified by its own subscript. 
C)  represents a level of a particular independent variable. 
D)  All of the above are true.

Question 14

A 4 x 3 ANOVA has five participants in each cell. What is Ntot?

Accepted Answer

A)  60 
B)  45 
C)  20 
D)  12 
A)  60 
B)  45 
C)  20 
D)  12

Question 15

In a two-factor ANOVA, ____________ is broken down into SSA, SSB, and SSAB.

Accepted Answer

A)  SSwi 
B)  SSbet 
C)  SStotal 
D)  SSinteraction 
A)  SSwi 
B)  SSbet 
C)  SStotal 
D)  SSinteraction

Question 16

A 4 x 4 ANOVA has __________ independent variables, each presented at ___________ levels.

Accepted Answer

A)  two; four 
B)  four; two 
C)  two; sixteen 
D)  four; eight 
A)  two; four 
B)  four; two 
C)  two; sixteen 
D)  four; eight

Question 17

What is dfwi for a 4 x 2 ANOVA with 5 participants in each group?

Accepted Answer

A)  32 
B)  200 
C)  30 
D)  40 
A)  32 
B)  200 
C)  30 
D)  40

Question 18

In factorial analysis of variance, main effects

Accepted Answer

A)  provide the same kind of information that would be obtained by conducting separate one-way ANOVAs. 
B)  refer to how the independent variables are affected by the dependent variable. 
C)  refer to any effects that are statistically significant. 
D)  All of the above are true. 
A)  provide the same kind of information that would be obtained by conducting separate one-way ANOVAs. 
B)  refer to how the independent variables are affected by the dependent variable. 
C)  refer to any effects that are statistically significant. 
D)  All of the above are true.

Question 19

The annual Roundup B-B-Q Festival is underway. It is a huge event with thousands of attendees and various kinds of cook-offs. Attendees were randomly sampled to taste and rate the flavor of four variations of potato salad. Factor A, temperature, was varied at two levels (hot or cold). Factor B, bacon, was also varied at two levels (the potato salad either did or did not contain bacon). Summary values for the study are below. Draw a line graph representing the study with Factor A long the horizontal axis and write a statement of conclusion.

Accepted Answer

Potato Salad
 @#IMG-DLM& There was no significant

Question 20

Factorial ANOVA allows us to

Accepted Answer

A)  determine which means differ significantly when there are more than two groups. 
B)  examine the effects of more than one independent variable. 
C)  conduct repeated t tests using only one alpha level. 
D)  All of the above are true. 
A)  determine which means differ significantly when there are more than two groups. 
B)  examine the effects of more than one independent variable. 
C)  conduct repeated t tests using only one alpha level. 
D)  All of the above are true.

In a two-way ANOVA, if df_bet(A) = 2, df_bet(B) = 3, and df_wi = 72, how many treatment groups were involved in the study and how many subjects participated?

Using symbolic notation, write the null hypotheses for a study that is examining the effects of three different kinds of incentives (Factor A) for males and females (Factor B) on purchasing decisions.

Main effects refer to

In a factorial ANOVA, interaction effects refer to

_______________ refers to the variability within each group due to individual differences and experimental error.

How many mean square values are required for a 2 x 2 ANOVA?

A factorial analysis was conducted with 80 participants distributed equally across the four levels of Factor A and five levels of Factor B. Determine df_bet(A), df_bet(B), df_bet(AB), and df_wi.

How can line graphs be used to identify main effects and interaction effects in a two-way ANOVA?

In the line graph of a two-way ANOVA, if the lines for Factors A and B cross like an X,

In a factorial ANOVA with df_bet(A) = 5 and df_bet(B) = 4, k = _______.

______________ refers to the variability between the different groups due to Factor A, Factor B, and the interaction between Factors A and B.

A supplement to the eta squared effect size is

A cell in a factorial ANOVA

A 4 x 3 ANOVA has five participants in each cell. What is N_tot?

In a two-factor ANOVA, ____________ is broken down into SS_A, SS_B, and SS_AB.

A 4 x 4 ANOVA has independent variables, each presented at _ levels.

What is df_wi for a 4 x 2 ANOVA with 5 participants in each group?

In factorial analysis of variance, main effects

Factorial ANOVA allows us to

Organizing Data Using Tables and Graphs

Measures of Central Tendency

Measures of Variability

Z-Scores and Other Standard Scores

Probability and the Normal Distribution

Sampling Distribution of Means

Hypothesis Testing

One-Sample T-Test

Two-Sample T-Test: Independent Samples Design

Two-Sample T-Test: Related Samples Design

Confidence Interval Versus Point Estimation

One-Way Analysis of Variance

Correlation and Regression

Chi-Square

Introduction to Statistics

Nonparametric Statistics for Ordinal Data

Filters

Exam 14: Factorial Analysis of Variance

In a two-way ANOVA, if dfbet(A) = 2, dfbet(B) = 3, and dfwi = 72, how many treatment groups were involved in the study and how many subjects participated?

Using symbolic notation, write the null hypotheses for a study that is examining the effects of three different kinds of incentives (Factor A) for males and females (Factor B) on purchasing decisions.

Main effects refer to

In a factorial ANOVA, interaction effects refer to

_______________ refers to the variability within each group due to individual differences and experimental error.

How many mean square values are required for a 2 x 2 ANOVA?

A factorial analysis was conducted with 80 participants distributed equally across the four levels of Factor A and five levels of Factor B. Determine dfbet(A), dfbet(B), dfbet(AB), and dfwi.

How can line graphs be used to identify main effects and interaction effects in a two-way ANOVA?

In the line graph of a two-way ANOVA, if the lines for Factors A and B cross like an X,

In a factorial ANOVA with dfbet(A) = 5 and dfbet(B) = 4, k = _______.

______________ refers to the variability between the different groups due to Factor A, Factor B, and the interaction between Factors A and B.

A supplement to the eta squared effect size is

A cell in a factorial ANOVA

A 4 x 3 ANOVA has five participants in each cell. What is Ntot?

In a two-factor ANOVA, ____________ is broken down into SSA, SSB, and SSAB.

A 4 x 4 ANOVA has __________ independent variables, each presented at ___________ levels.

What is dfwi for a 4 x 2 ANOVA with 5 participants in each group?

In factorial analysis of variance, main effects

Factorial ANOVA allows us to

Organizing Data Using Tables and Graphs

Measures of Central Tendency

Measures of Variability

Z-Scores and Other Standard Scores

Probability and the Normal Distribution

Sampling Distribution of Means

Hypothesis Testing

One-Sample T-Test

Two-Sample T-Test: Independent Samples Design

Two-Sample T-Test: Related Samples Design

Confidence Interval Versus Point Estimation

One-Way Analysis of Variance

Correlation and Regression

Chi-Square

Introduction to Statistics

Nonparametric Statistics for Ordinal Data

Filters

In a two-way ANOVA, if df_bet(A) = 2, df_bet(B) = 3, and df_wi = 72, how many treatment groups were involved in the study and how many subjects participated?

A factorial analysis was conducted with 80 participants distributed equally across the four levels of Factor A and five levels of Factor B. Determine df_bet(A), df_bet(B), df_bet(AB), and df_wi.

In a factorial ANOVA with df_bet(A) = 5 and df_bet(B) = 4, k = _______.

A 4 x 3 ANOVA has five participants in each cell. What is N_tot?

In a two-factor ANOVA, ____________ is broken down into SS_A, SS_B, and SS_AB.

A 4 x 4 ANOVA has independent variables, each presented at _ levels.

What is df_wi for a 4 x 2 ANOVA with 5 participants in each group?