Question 1

How many hypotheses are tested in a one-factor repeated measures ANOVA?

Accepted Answer

A)  1 
B)  2 
C)  3 
D)  4 
E)  It depends. 
A)  1 
B)  2 
C)  3 
D)  4 
E)  It depends.

Question 2

In the same study as described in Question 5, suppose Ravi randomly assigned half of the selected patients to follow a specific diet plan (the other half are controls). Patient blood pressure is recorded every month over the course of one year. Ravi wanted to examine whether the diet plan made any difference in blood pressure. Which ANOVA model is most appropriate for analysis of these data?

Accepted Answer

A)  One-factor random-effects model 
B)  Two-factor random-effects model 
C)  Two-factor mixed-effects model 
D)  One-factor repeated measures design 
E)  Two-factor split-plot design 
A)  One-factor random-effects model 
B)  Two-factor random-effects model 
C)  Two-factor mixed-effects model 
D)  One-factor repeated measures design 
E)  Two-factor split-plot design

Question 3

If the assumption of sphericity (i.e., compound symmetry) is violated, what should the researcher do?

Accepted Answer

A)  Because the effects of assumption violation will be minimal, we should use the results of the usual F test anyway. 
B)  If H0 is rejected using the usual F test, we should use alternative F tests to verify the results. 
C)  If H0 is not rejected using the usual F test, we should use alternative F tests to verify the results. 
D)  Because the usual F test is not valid, we cannot analyze the data using this ANOVA model. 
A)  Because the effects of assumption violation will be minimal, we should use the results of the usual F test anyway. 
B)  If H0 is rejected using the usual F test, we should use alternative F tests to verify the results. 
C)  If H0 is not rejected using the usual F test, we should use alternative F tests to verify the results. 
D)  Because the usual F test is not valid, we cannot analyze the data using this ANOVA model.

Question 4

In a taste test, the participants are asked to taste each of the three types of pies (the order is counterbalanced), and then rate how much they like each flavor. To compare the average ratings for each type of pie, which ANOVA model is most appropriate?

Accepted Answer

A)  One-factor random-effects model 
B)  Two-factor random-effects model 
C)  Two-factor mixed-effects model 
D)  One-factor repeated measures design 
E)  Two-factor split-plot design 
A)  One-factor random-effects model 
B)  Two-factor random-effects model 
C)  Two-factor mixed-effects model 
D)  One-factor repeated measures design 
E)  Two-factor split-plot design

Question 5

In a one-factor repeated measures ANOVA, A (fixed factor) has 4 levels, and each cell has 10 observations. The FA ratio has degrees of freedom equal to?

Accepted Answer

A)  4, 9 
B)  4,27 
C)  3,27 
D)  3,36 
A)  4, 9 
B)  4,27 
C)  3,27 
D)  3,36

Question 6

Suppose two researchers perform a one-factor ANOVA on the same data, but researcher A assumes a fixed-effects model, whereas researcher B assumes a random-effects model. Which of the following statements is false?

Accepted Answer

A)  Two researchers will have the same null hypothesis. 
B)  Two researchers will obtain the same F ratio. 
C)  Two researchers will obtain the same p value. 
D)  Two researchers will obtain the same critical F value if they use the same significance level. 
A)  Two researchers will have the same null hypothesis. 
B)  Two researchers will obtain the same F ratio. 
C)  Two researchers will obtain the same p value. 
D)  Two researchers will obtain the same critical F value if they use the same significance level.

Question 7

Dr. Bellus wants to study how people's perception of attractiveness is affected by the gender of the subjects, and the facial expression of the object. Each participant views six headshots (in random order) of the same person, who demonstrates different facial expressions (joy, surprise, fear, anger, sadness, and disgust) in each picture. The participants are then asked to rate the attractiveness level of each picture. The rating is the dependent variable. Below is the selected output of a two-factor split plot ANOVA.
Test of Between-Subjects Effects
 $\begin{array}{ccccc}
\hline \text { Source } & \text { Type III SS } & \text { df } & \text { MS } & \text { F } \
\hline \text { A (between-subjects factor) } & 226.81 & 1 & 226.81 & 3.04 \
\text { S (subject) } & 2084.61 & 28 & 74.45 & \
\hline
\end{array}$ Test of Within-Subjects Effects
 $\begin{array}{l}
\text { Test of Within-Subjects Effects }\
\begin{array}{ccccc}
\hline \text { Source } & \text { Type III SS } & \text { df } & \text { MS } & \text { F } \
\hline \text { B (within-subjects factor) } & 18802.53 & 5 & 3760.506 & 38.07 \
\mathrm{~A}^{*} \mathrm{~B} & 324.22 & 5 & 64.84 & 0.66 \
\mathrm{~B}^{*} \mathrm{~S} & 13829.70 & 140 & 98.78 & \
\hline
\end{array}
\end{array}$ 
(a) Identify the between-subjects factor and within-subjects factor.
(b) Are the effects significant ($\alpha$= .05)? What do these results tell us about people's perception of attractiveness?
(c) Is MCP necessary? If so, which effect(s) should we conduct MCP on?

Accepted Answer

(a) The between-subjects factor is gende

Question 8

Candace conducts a study to examine the effect of a professional development program on teachers' content knowledge. Half of the teachers are randomly assigned to participate in the program (the other half are controls). All teachers are then tested on their content knowledge each month over the course of the academic year. Which ANOVA model is most appropriate for analysis of these data?

Accepted Answer

A)  One-factor random-effects model 
B)  Two-factor random-effects model 
C)  Two-factor mixed-effects model 
D)  One-factor repeated measures design 
E)  Two-factor split-plot design 
A)  One-factor random-effects model 
B)  Two-factor random-effects model 
C)  Two-factor mixed-effects model 
D)  One-factor repeated measures design 
E)  Two-factor split-plot design

Question 9

Using the same data as in Problem 3, conduct a two-factor split-plot ANOVA, where the first six teachers participate in a professional development program throughout their first year of teaching, and the last six teachers do not participate in the program ($\alpha$ = 05). Does the program seem to have an effect on the change in teachers' pedagogical content knowledge?

Accepted Answer

Procedure:
Add another variable to the d

Question 10

In a two-factor ANOVA, A (fixed factor) has 3 levels, and B (random factor) has 5 levels. Each cell has 5 observations. The FA ratio has degrees of freedom equal to?

Accepted Answer

A)  2, 8 
B)  2, 15 
C)  2, 60 
D)  2, 74 
E)  None of the above. 
A)  2, 8 
B)  2, 15 
C)  2, 60 
D)  2, 74 
E)  None of the above.

How many hypotheses are tested in a one-factor repeated measures ANOVA?

If the assumption of sphericity (i.e., compound symmetry) is violated, what should the researcher do?

In a taste test, the participants are asked to taste each of the three types of pies (the order is counterbalanced), and then rate how much they like each flavor. To compare the average ratings for each type of pie, which ANOVA model is most appropriate?

In a one-factor repeated measures ANOVA, A (fixed factor) has 4 levels, and each cell has 10 observations. The F_A ratio has degrees of freedom equal to?

Suppose two researchers perform a one-factor ANOVA on the same data, but researcher A assumes a fixed-effects model, whereas researcher B assumes a random-effects model. Which of the following statements is false?

In a two-factor ANOVA, A (fixed factor) has 3 levels, and B (random factor) has 5 levels. Each cell has 5 observations. The F_A ratio has degrees of freedom equal to?

Introduction

Data Representation

Univariate Population Parameters and Sample Statistics

Normal Distribution and Standard Scores

Introduction to Probability and Sample Statistics

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 Model

Multiple Comparison Procedures

Factorial Anova: Fixed-Effects Model

One-Factor Fixed-Effects Ancova With Single Covariate

Hierarchical and Randomized Block Analysis of Variance Models

Simple Linear Regression

Multiple Regression

Logistic Regression

Filters

Exam 15: Random- and Mixed-Effects Analysis of Variance Models

How many hypotheses are tested in a one-factor repeated measures ANOVA?

If the assumption of sphericity (i.e., compound symmetry) is violated, what should the researcher do?

In a taste test, the participants are asked to taste each of the three types of pies (the order is counterbalanced), and then rate how much they like each flavor. To compare the average ratings for each type of pie, which ANOVA model is most appropriate?

In a one-factor repeated measures ANOVA, A (fixed factor) has 4 levels, and each cell has 10 observations. The FA ratio has degrees of freedom equal to?

Suppose two researchers perform a one-factor ANOVA on the same data, but researcher A assumes a fixed-effects model, whereas researcher B assumes a random-effects model. Which of the following statements is false?

In a two-factor ANOVA, A (fixed factor) has 3 levels, and B (random factor) has 5 levels. Each cell has 5 observations. The FA ratio has degrees of freedom equal to?

Introduction

Data Representation

Univariate Population Parameters and Sample Statistics

Normal Distribution and Standard Scores

Introduction to Probability and Sample Statistics

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 Model

Multiple Comparison Procedures

Factorial Anova: Fixed-Effects Model

One-Factor Fixed-Effects Ancova With Single Covariate

Hierarchical and Randomized Block Analysis of Variance Models

Simple Linear Regression

Multiple Regression

Logistic Regression

Filters

In a one-factor repeated measures ANOVA, A (fixed factor) has 4 levels, and each cell has 10 observations. The F_A ratio has degrees of freedom equal to?

In a two-factor ANOVA, A (fixed factor) has 3 levels, and B (random factor) has 5 levels. Each cell has 5 observations. The F_A ratio has degrees of freedom equal to?