Questions are based on the following ANOVA summary table (fixed effects): $\begin{array}{cccc} \hline \text { Source } & d f & M S & F \\ \hline \mathrm{A} & 5 & 18.0 & 6.0 \\ \mathrm{~B} & 1 & 13.5 & 4.5 \\ \mathrm{AB} & 5 & 15.0 & 5.0 \\ \text { Within } & 60 & 3.0 & \\ \hline \end{array}$ -For which source of variation is the null hypothesis rejected at the .05 level of significance?

A) A B) B C) AB D) All of the above A) A B) B C) AB D) All of the above

Questions are based on the following ANOVA summary table (fixed effects): $\begin{array}{cccc} \hline \text { Source } & d f & M S & F \\ \hline \mathrm{A} & 5 & 18.0 & 6.0 \\ \mathrm{~B} & 1 & 13.5 & 4.5 \\ \mathrm{AB} & 5 & 15.0 & 5.0 \\ \text { Within } & 60 & 3.0 & \\ \hline \end{array}$ -The total sample size for the design is which one of the following?

A) 72 B) 74 C) 77 D) None of the above A) 72 B) 74 C) 77 D) None of the above

Questions are based on the following ANOVA summary table (fixed effects): $\begin{array}{crcc} \hline \text { Source } & \text { df } & \boldsymbol{M S} & F \\ \hline \mathrm{A} & 2 & 15 & 3.0 \\ \mathrm{~B} & 3 & 10 & 2.0 \\ \mathrm{AB} & 6 & 3 & 0.6 \\ \text { Within } & 120 & 5 & \\ \hline \end{array}$ -The total sample size for the design is which one of the following?

A) 131 B) 132 C) 134 D) None of the above A) 131 B) 132 C) 134 D) None of the above

Questions are based on the following ANOVA summary table (fixed effects): $\begin{array}{crcc} \hline \text { Source } & \text { df } & \boldsymbol{M S} & F \\ \hline \mathrm{A} & 2 & 15 & 3.0 \\ \mathrm{~B} & 3 & 10 & 2.0 \\ \mathrm{AB} & 6 & 3 & 0.6 \\ \text { Within } & 120 & 5 & \\ \hline \end{array}$ -For which source of variation is the null hypothesis rejected at the .10 level of significance?

A) A B) B C) AB D) All of the above A) A B) B C) AB D) All of the above

Questions are based on the following ANOVA summary table (fixed effects): $\begin{array}{crcc} \hline \text { Source } & \text { df } & \boldsymbol{M S} & F \\ \hline \mathrm{A} & 2 & 15 & 3.0 \\ \mathrm{~B} & 3 & 10 & 2.0 \\ \mathrm{AB} & 6 & 3 & 0.6 \\ \text { Within } & 120 & 5 & \\ \hline \end{array}$ -How many cells are there in the design?

A) 6 B) 8 C) 9 D) None of the above A) 6 B) 8 C) 9 D) None of the above

Questions are based on the following ANOVA summary table (fixed effects): $\begin{array}{cccc} \hline \text { Source } & d f & M S & F \\ \hline \mathrm{A} & 5 & 18.0 & 6.0 \\ \mathrm{~B} & 1 & 13.5 & 4.5 \\ \mathrm{AB} & 5 & 15.0 & 5.0 \\ \text { Within } & 60 & 3.0 & \\ \hline \end{array}$ -How many cells are there in the design?

A) 6 B) 10 C) 12 D) None of the above A) 6 B) 10 C) 12 D) None of the above

Exam 13: Factorial Anova: Fixed-Effects Mode

Complete the following ANOVA summary table for a two-factor fixed-effects ANOVA, where there are two levels of factor A (type of counseling) and four levels of factor B (frequency of counseling). Each cell includes six people and $\alpha$ = .01. Source SS df MS F Critical Value Decision 60 6 60 Within Total 640

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Question 1

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A has 2 levels, so J = 2. B has 4 levels, so K = 4.

Each cell has 6 people, so n = 6. N = 2*4*6 = 48.

df_A= J - 1 = 2 - 1 = 1, df_B = K - 1 = 4 - 1 = 3, df_A_B = (J - 1)(K - 1) = 1*3 = 3, df_with = N - JK = 48 - 2*4 = 40, df_total = N - 1 = 48 - 1 = 47.

MS_A = SS_A/df_A = 60/1 = 60, MS_AB = SS_AB/df_AB = 60/3 = 20,
MS_with = MS_A/F_A = 60/6 = 10; SS_with = MS_with*df_with = 10*40 = 400,
SS_B = SS_total - SS_A - SS_AB - SS_with = 640 - 60 - 60 - 400 = 120;
MS_B = MS_B/F_B = 120/3 = 40
F_A = MS_A/MS_with = 60/10 = 6; critical value = _.0₁F_1,40 = 7.31 > F_A, fail to reject H₀.

F_B = MS_B/MS_with = 40/10 = 4; critical value = _.0₁F₃_,₄₀ = 4.31 > F_B, fail to reject H₀.
F_AB= MS_AB/MS_with= 20/10 = 2; critical value = _.0₁F₃_,₄₀= 4.31 > F_AB, fail to reject H₀.

$\begin{array}{crrrrcc}\text { Source } & S S & d f & M S & F & \text { Critical Value } & \text { Decision } \\\hline \mathrm{A} & 60 & 1 & 60 & 6 & .01 F_{1,40}=7.31 & \text { Fail to reject } H_{0} \\\mathrm{~B} & 120 & 3 & 40 & 4 & .01 F_{3,40}=4.31 & \text { Fail to reject } H_{0} \\\mathrm{AB} & 60 & 3 & 20 & 2 & .01 F_{3,40}=4.31 & \text { Fail to reject } H_{0} \\\text { Within } & 400 & 40 & 10 & & & \\\hline\end{array}$

Questions are based on the following plots of cell means. Assume that the within-cell variation is very small. (1) (2) (3) ( 4) -Which plot indicates that both main effects are significant but the interaction effect is nonsignificant?

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Question 2

Correct Answer:

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A

The results of a two-factor ANOVA (J = 3, K = 2) show that both main effects are significant, but the interaction is not significant. We need to

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Question 3

Correct Answer:

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D

Questions are based on the following ANOVA summary table (fixed effects): Source df MS F 5 18.0 6.0 1 13.5 4.5 5 15.0 5.0 Within 60 3.0 -For which source of variation is the null hypothesis rejected at the .05 level of significance?

(Multiple Choice)

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Question 4

Questions are based on the following ANOVA summary table (fixed effects): Source df MS F 5 18.0 6.0 1 13.5 4.5 5 15.0 5.0 Within 60 3.0 -The total sample size for the design is which one of the following?

(Multiple Choice)

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Question 5

Questions are based on the following plots of cell means. Assume that the within-cell variation is very small. (1) (2) (3) ( 4) -Which plot(s) indicate(s) significant interaction effects?

(Multiple Choice)

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Question 6

Questions are based on the following ANOVA summary table (fixed effects): Source df F 2 15 3.0 3 10 2.0 6 3 0.6 Within 120 5 -The total sample size for the design is which one of the following?

(Multiple Choice)

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Question 7

In a two-factor fixed-effects ANOVA with factors A and B, each of which have four categories, which one of the following occurs?

(Multiple Choice)

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Question 8

Questions are based on the following ANOVA summary table (fixed effects): Source df F 2 15 3.0 3 10 2.0 6 3 0.6 Within 120 5 -For which source of variation is the null hypothesis rejected at the .10 level of significance?

(Multiple Choice)

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Question 9

Questions are based on the following plots of cell means. Assume that the within-cell variation is very small. (1) (2) (3) ( 4) -Which plot indicates that neither of the main effects are significant but the interaction effect is significant?

(Multiple Choice)

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Question 10

Which of the following would be appropriate for a factorial ANOVA?

(Multiple Choice)

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Question 11

A researcher is interested in examining the extent to which there is a mean difference in lower-class undergraduate students' attitude toward instruction (interval) based on class modality (face-to-face, hybrid, online) and class standing (freshman or sophomore). Would conducting a factorial ANOVA be appropriate for this study?

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Question 12

Questions are based on the following ANOVA summary table (fixed effects): Source df F 2 15 3.0 3 10 2.0 6 3 0.6 Within 120 5 -How many cells are there in the design?

(Multiple Choice)

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Question 13

Complete the following ANOVA summary table for a two-factor fixed-effects ANOVA, where there are three levels of factor A (teaching method) and two levels of factor B (time of class). Each cell includes six students and $\alpha$ = .05. Source SS df MS F Critical Value Decision A 6.5 B 5.2 Within 39 Total 65

(Essay)

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Question 14

Complete the following ANOVA summary table for a two-factor fixed-effects ANOVA, where there are four levels of factor A (grade level) and three levels of factor B (textbook). Each cell includes 11 students and $\alpha$ = .05. Source SS df MS F Critical Value Decision 5 42 25 Within 240 Total Win

(Essay)

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Question 15

Questions are based on the following ANOVA summary table (fixed effects): Source df MS F 5 18.0 6.0 1 13.5 4.5 5 15.0 5.0 Within 60 3.0 -How many cells are there in the design?

(Multiple Choice)

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Question 16

Questions are based on the following plots of cell means. Assume that the within-cell variation is very small. (1) (2) (3) ( 4) -Which plot indicates that both main effects are significant but the interaction effect is nonsignificant?

The results of a two-factor ANOVA (J = 3, K = 2) show that both main effects are significant, but the interaction is not significant. We need to

Questions are based on the following ANOVA summary table (fixed effects): Source df MS F 5 18.0 6.0 1 13.5 4.5 5 15.0 5.0 Within 60 3.0 -For which source of variation is the null hypothesis rejected at the .05 level of significance?

Questions are based on the following ANOVA summary table (fixed effects): Source df MS F 5 18.0 6.0 1 13.5 4.5 5 15.0 5.0 Within 60 3.0 -The total sample size for the design is which one of the following?

Questions are based on the following plots of cell means. Assume that the within-cell variation is very small. (1) (2) (3) ( 4) -Which plot(s) indicate(s) significant interaction effects?

Questions are based on the following ANOVA summary table (fixed effects): Source df F 2 15 3.0 3 10 2.0 6 3 0.6 Within 120 5 -The total sample size for the design is which one of the following?

In a two-factor fixed-effects ANOVA with factors A and B, each of which have four categories, which one of the following occurs?

Questions are based on the following ANOVA summary table (fixed effects): Source df F 2 15 3.0 3 10 2.0 6 3 0.6 Within 120 5 -For which source of variation is the null hypothesis rejected at the .10 level of significance?

Questions are based on the following plots of cell means. Assume that the within-cell variation is very small. (1) (2) (3) ( 4) -Which plot indicates that neither of the main effects are significant but the interaction effect is significant?

Which of the following would be appropriate for a factorial ANOVA?

Questions are based on the following ANOVA summary table (fixed effects): Source df F 2 15 3.0 3 10 2.0 6 3 0.6 Within 120 5 -How many cells are there in the design?

Complete the following ANOVA summary table for a two-factor fixed-effects ANOVA, where there are four levels of factor A (grade level) and three levels of factor B (textbook). Each cell includes 11 students and $\alpha$ = .05. Source SS df MS F Critical Value Decision 5 42 25 Within 240 Total Win

Questions are based on the following ANOVA summary table (fixed effects): Source df MS F 5 18.0 6.0 1 13.5 4.5 5 15.0 5.0 Within 60 3.0 -How many cells are there in the design?

Introduction

Data Representation

Univariate Population Parameters and Sample Statistics

The Normal Distribution and Standard Scores

Introduction to Probability and Sample Statistics

Introduction to Hypothesis Testing: Inferences About a Single Mean

Inferences About the Difference Between Two Means

Inferences About Proportions

Inferences About Variances

Bivariate Measures of Association

One-Factor Anova: Fixed-Effects Mode

Multiple Comparison Procedures

One Factor Fixed-Effects Ancova With Single Covariate

Random- and Mixed-Effects Analysis of Variance Models

Hierarchical and Randomized Block Analysis of Variance Models

Simple Linear Regression

Multiple Linear Regression

Logistic Regression

Mediation and Moderation

Filters

Exam 13: Factorial Anova: Fixed-Effects Mode

Questions are based on the following plots of cell means. Assume that the within-cell variation is very small. (1) (2) (3) ( 4) -Which plot indicates that both main effects are significant but the interaction effect is nonsignificant?

The results of a two-factor ANOVA (J = 3, K = 2) show that both main effects are significant, but the interaction is not significant. We need to

Questions are based on the following ANOVA summary table (fixed effects): Source df MS F 5 18.0 6.0 1 13.5 4.5 5 15.0 5.0 Within 60 3.0 -For which source of variation is the null hypothesis rejected at the .05 level of significance?

Questions are based on the following ANOVA summary table (fixed effects): Source df MS F 5 18.0 6.0 1 13.5 4.5 5 15.0 5.0 Within 60 3.0 -The total sample size for the design is which one of the following?

Questions are based on the following plots of cell means. Assume that the within-cell variation is very small. (1) (2) (3) ( 4) -Which plot(s) indicate(s) significant interaction effects?

Questions are based on the following ANOVA summary table (fixed effects): Source df F 2 15 3.0 3 10 2.0 6 3 0.6 Within 120 5 -The total sample size for the design is which one of the following?

In a two-factor fixed-effects ANOVA with factors A and B, each of which have four categories, which one of the following occurs?

Questions are based on the following ANOVA summary table (fixed effects): Source df F 2 15 3.0 3 10 2.0 6 3 0.6 Within 120 5 -For which source of variation is the null hypothesis rejected at the .10 level of significance?

Questions are based on the following plots of cell means. Assume that the within-cell variation is very small. (1) (2) (3) ( 4) -Which plot indicates that neither of the main effects are significant but the interaction effect is significant?

Which of the following would be appropriate for a factorial ANOVA?

Questions are based on the following ANOVA summary table (fixed effects): Source df F 2 15 3.0 3 10 2.0 6 3 0.6 Within 120 5 -How many cells are there in the design?

Complete the following ANOVA summary table for a two-factor fixed-effects ANOVA, where there are four levels of factor A (grade level) and three levels of factor B (textbook). Each cell includes 11 students and α\alphaα = .05. Source SS df MS F Critical Value Decision 5 42 25 Within 240 Total Win

Questions are based on the following ANOVA summary table (fixed effects): Source df MS F 5 18.0 6.0 1 13.5 4.5 5 15.0 5.0 Within 60 3.0 -How many cells are there in the design?

Introduction

Data Representation

Univariate Population Parameters and Sample Statistics

The Normal Distribution and Standard Scores

Introduction to Probability and Sample Statistics

Introduction to Hypothesis Testing: Inferences About a Single Mean

Inferences About the Difference Between Two Means

Inferences About Proportions

Inferences About Variances

Bivariate Measures of Association

One-Factor Anova: Fixed-Effects Mode

Multiple Comparison Procedures

One Factor Fixed-Effects Ancova With Single Covariate

Random- and Mixed-Effects Analysis of Variance Models

Hierarchical and Randomized Block Analysis of Variance Models

Simple Linear Regression

Multiple Linear Regression

Logistic Regression

Mediation and Moderation

Filters

Complete the following ANOVA summary table for a two-factor fixed-effects ANOVA, where there are four levels of factor A (grade level) and three levels of factor B (textbook). Each cell includes 11 students and $\alpha$ = .05. Source SS df MS F Critical Value Decision 5 42 25 Within 240 Total Win