Question 1

A one-factor fixed-effects ANOVA results in the following: F (1, 17) = .011, p = .918. Which post-hoc procedure should be used as a follow-up?

Accepted Answer

A)  Scheffé method 
B)  Tukey HSD method 
C)  Fisher LSD method 
D)  None of the above 
A)  Scheffé method 
B)  Tukey HSD method 
C)  Fisher LSD method 
D)  None of the above D

Question 2

Applying the Dunn procedure, what is the per contrast alpha if the nominal alpha is 0.05 and there are three contrasts?

Accepted Answer

A)  .02 
B)  .05 
C)  .10 
D)  .15 
A)  .02 
B)  .05 
C)  .10 
D)  .15 A

Question 3

A researcher finds a significant omnibus F test with J = 4. Which of the following statements is true?

Accepted Answer

A)  You should always do a priori comparisons before an ANOVA. 
B)  You should always do post hoc tests after an ANOVA. 
C)  You should always do post hoc tests to determine why H0 was rejected. 
D)  You should always do post hoc tests to determine why H0 was not rejected. 
A)  You should always do a priori comparisons before an ANOVA. 
B)  You should always do post hoc tests after an ANOVA. 
C)  You should always do post hoc tests to determine why H0 was rejected. 
D)  You should always do post hoc tests to determine why H0 was not rejected. C

Question 4

In an experiment,  = 10,  = 200, and  = 4000. Which pairwise contrast will necessarily be significant?

Accepted Answer

A)  $\mu$S1U1B12S1U1B0-$\mu$S1U1B11S1U1B0 
B)  $\mu$S1U1B13S1U1B0-$\mu$S1U1B11S1U1B0 
C)  $\mu$S1U1B13S1U1B0-$\mu$S1U1B12S1U1B0 
D)  None of the contrasts will necessarily be significant. 
A)  $\mu$S1U1B12S1U1B0-$\mu$S1U1B11S1U1B0 
B)  $\mu$S1U1B13S1U1B0-$\mu$S1U1B11S1U1B0 
C)  $\mu$S1U1B13S1U1B0-$\mu$S1U1B12S1U1B0 
D)  None of the contrasts will necessarily be significant.

Question 5

A researcher conducts a study of different instructional methods. The researcher wants to examine if student scores will increase as the instructional time increases. She randomly assigned 60 students to three classes. Each class spent 4 hours, 5 hours, and 6 hours per day, respectively, on instruction. Then she compared the average scores of the three classes. Which procedure is the most appropriate for this research question?

Accepted Answer

A)  Dunnett method 
B)  Dunn (Bonferroni) method 
C)  Tukey HSD 
D)  Trend analysis 
A)  Dunnett method 
B)  Dunn (Bonferroni) method 
C)  Tukey HSD 
D)  Trend analysis

Question 6

If J = 3, which of the following sets of contrasts is orthogonal?

Accepted Answer

A)  $\mu$ S1U1B11S1U1B0-$\mu$ S1U1B12S1U1B0/2+$\mu$ S1U1B13S1U1B0/2 
B)  ($\mu$ 1+$\mu$ 2)/2+$\mu$ 3 
C)  ($\mu$ 1+$\mu$ 2)/2-$\mu$ 3 
D)  $\mu$ 1-$\mu$ 2-$\mu$ 3 
A)  $\mu$ S1U1B11S1U1B0-$\mu$ S1U1B12S1U1B0/2+$\mu$ S1U1B13S1U1B0/2 
B)  ($\mu$ 1+$\mu$ 2)/2+$\mu$ 3 
C)  ($\mu$ 1+$\mu$ 2)/2-$\mu$ 3 
D)  $\mu$ 1-$\mu$ 2-$\mu$ 3

Question 7

In an experiment, = 10, = 20, and = 40. Tukey HSD shows that $\mu$ S1U1B12S1U1B0-$\mu$ S1U1B11S1U1B0 is a significant contrast. What will you find out about $\mu$ S1U1B13S1U1B0-$\mu$ S1U1B11S1U1B0 and $\mu$ S1U1B13S1U1B0-$\mu$ S1U1B12S1U1B0 if the same procedure and same$\alpha$ level are used?

Accepted Answer

A)  Only $\mu$S1U1B13S1U1B0-$\mu$S1U1B11S1U1B0 is significant. 
B)  Only $\mu$S1U1B13S1U1B0-$\mu$S1U1B11S1U1B0  is significant. 
C)  Both contrasts are significant. 
D)  None of the contrasts are necessarily significant. 
A)  Only $\mu$S1U1B13S1U1B0-$\mu$S1U1B11S1U1B0 is significant. 
B)  Only $\mu$S1U1B13S1U1B0-$\mu$S1U1B11S1U1B0  is significant. 
C)  Both contrasts are significant. 
D)  None of the contrasts are necessarily significant.

Question 8

Dr. Guinea Pigg would like to test if the amount of caffeine intake would affect how well laboratory rats performed on a specific task. He randomly assigned 40 rats to five groups (n = 8). Each rat walked the same maze after drinking caffeinated water. The amount of caffeine the rats took and the number of mistakes they made in walking the maze were recorded in the following table.

$\begin{array}{crrrrr}
\text { Dosage } & 10 \mathrm{mg} & 20 \mathrm{mg} & 30 \mathrm{mg} & 40 \mathrm{mg} & 50 \mathrm{mg} \
\hline & 16 & 16 & 2 & 5 & 7 \
& 5 & 10 & 9 & 8 & 12 \
& 11 & 7 & 11 & 1 & 14 \
\text { Number of } & 23 & 12 & 13 & 5 & 16 \
\text { mistakes } & 18 & 7 & 10 & 8 & 11 \
& 12 & 4 & 13 & 11 & 9 \
& 12 & 23 & 9 & 9 & 19 \
& 19 & 13 & 9 & 9 & 24 \
\hline
\end{array}$
 Using the data, conduct a trend analysis to test if there is any linear, quadratic, or cubic trend ($\alpha$ = .05).

Accepted Answer

Procedure:
Create a data set with two va

Question 9

A researcher used Fisher's LSD to test three contrasts: $\mu$ 1-$\mu$ 2,$\mu$ S1U1B11S1U1B0-$\mu$ S1U1B13S1U1B0,$\mu$ S1U1B11S1U1B0-($\mu$ S1U1B12S1U1B0+$\mu$ S1U1B13S1U1B0)/2. Evaluate this practice.

Accepted Answer

A)  This practice is problematic because Fisher's LSD is always too liberal. 
B)  This practice is problematic because Fisher's LSD can be used only to test simple contrasts. 
C)  This practice is problematic because the contrasts are not orthogonal. 
D)  I do not see any problem with this practice. It is great! 
A)  This practice is problematic because Fisher's LSD is always too liberal. 
B)  This practice is problematic because Fisher's LSD can be used only to test simple contrasts. 
C)  This practice is problematic because the contrasts are not orthogonal. 
D)  I do not see any problem with this practice. It is great!

Question 10

A researcher conducts a study of different instructional methods. The researcher finds that student scores increase significantly when instructional time increases, so she predicts that scores will be even higher if the instructional time is 12 hours per day. Evaluate the prediction.

Accepted Answer

A)  The prediction is problematic because 4, 5, 6, and 12 are not equally spaced. 
B)  The prediction is problematic because the classes with longer instructional time may not have the same number of students. 
C)  The prediction is problematic because we have no way of knowing what the trend is outside of the range of 4 to 6 hours of instructional time. 
D)  The prediction is accurate because it is based on empirical evidence. 
A)  The prediction is problematic because 4, 5, 6, and 12 are not equally spaced. 
B)  The prediction is problematic because the classes with longer instructional time may not have the same number of students. 
C)  The prediction is problematic because we have no way of knowing what the trend is outside of the range of 4 to 6 hours of instructional time. 
D)  The prediction is accurate because it is based on empirical evidence.

Question 11

A one-factor fixed-effects ANOVA is performed on data for 5 groups of unequal sizes, and H0 is rejected at the .05 level of significance. Using the Scheffé procedure, test the contrast that
 $\bar{Y}_{.1}-\frac{\bar{Y}_{.2}+\bar{Y}_{.3}}{2}$ at the .05 level of significance given the following information:
dfwith = 30, = 5, n1 = 6, = 7.5, n2 = 6, = 8.5, n3 = 6, and MSwith = 9.

Accepted Answer

For the contrast, @#IMG-DLM& c₁_<

Question 12

How many possible pairwise contrasts are there if J = 3?

Accepted Answer

A)  3 
B)  4 
C)  5 
D)  6 
A)  3 
B)  4 
C)  5 
D)  6

Question 13

Which of the following linear combinations of population means is a legitimate contrast?

Accepted Answer

A)  $\mu$ 1-$\mu$ S1U1B12S1U1B0/2+$\mu$ S1U1B13S1U1B0/2 
B)  ($\mu$ S1U1B11S1U1B0+$\mu$ S1U1B12S1U1B0)/2+$\mu$ S1U1B13S1U1B0 
C)  ($\mu$ S1U1B11S1U1B0+$\mu$ S1U1B12S1U1B0)/2-$\mu$ S1U1B13S1U1B0 
D)  $\mu$S1U1B1 1S1U1B0-$\mu$ S1U1B12S1U1B0-$\mu$ S1U1B13S1U1B0 
A)  $\mu$ 1-$\mu$ S1U1B12S1U1B0/2+$\mu$ S1U1B13S1U1B0/2 
B)  ($\mu$ S1U1B11S1U1B0+$\mu$ S1U1B12S1U1B0)/2+$\mu$ S1U1B13S1U1B0 
C)  ($\mu$ S1U1B11S1U1B0+$\mu$ S1U1B12S1U1B0)/2-$\mu$ S1U1B13S1U1B0 
D)  $\mu$S1U1B1 1S1U1B0-$\mu$ S1U1B12S1U1B0-$\mu$ S1U1B13S1U1B0

A one-factor fixed-effects ANOVA results in the following: F (1, 17) = .011, p ₌.918. Which post-hoc procedure should be used as a follow-up?

Applying the Dunn procedure, what is the per contrast alpha if the nominal alpha is 0.05 and there are three contrasts?

A researcher finds a significant omnibus F test with J = 4. Which of the following statements is true?

In an experiment, = 10, = 200, and = 4000. Which pairwise contrast will necessarily be significant?

If J = 3, which of the following sets of contrasts is orthogonal?

In an experiment, = 10, = 20, and = 40. Tukey HSD shows that $\mu$ ₂- $\mu$ ₁ is a significant contrast. What will you find out about $\mu$ ₃- $\mu$ ₁ and $\mu$ ₃- $\mu$ ₂ if the same procedure and same $\alpha$ level are used?

A researcher used Fisher's LSD to test three contrasts: $\mu$ ₁- $\mu$ ₂, $\mu$ ₁- $\mu$ ₃, $\mu$ ₁-( $\mu$ ₂+ $\mu$ ₃)/2. Evaluate this practice.

A researcher conducts a study of different instructional methods. The researcher finds that student scores increase significantly when instructional time increases, so she predicts that scores will be even higher if the instructional time is 12 hours per day. Evaluate the prediction.

How many possible pairwise contrasts are there if J = 3?

Which of the following linear combinations of population means is a legitimate contrast?

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

Factorial Anova: Fixed-Effects Mode

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 12: Multiple Comparison Procedures

A one-factor fixed-effects ANOVA results in the following: F (1, 17) = .011, p = .918. Which post-hoc procedure should be used as a follow-up?

Applying the Dunn procedure, what is the per contrast alpha if the nominal alpha is 0.05 and there are three contrasts?

A researcher finds a significant omnibus F test with J = 4. Which of the following statements is true?

In an experiment, = 10, = 200, and = 4000. Which pairwise contrast will necessarily be significant?

If J = 3, which of the following sets of contrasts is orthogonal?

In an experiment, = 10, = 20, and = 40. Tukey HSD shows that μ\muμ 2- μ\muμ 1 is a significant contrast. What will you find out about μ\muμ 3- μ\muμ 1 and μ\muμ 3- μ\muμ 2 if the same procedure and same α\alphaα level are used?

A researcher used Fisher's LSD to test three contrasts: μ\muμ 1- μ\muμ 2, μ\muμ 1- μ\muμ 3, μ\muμ 1-( μ\muμ 2+ μ\muμ 3)/2. Evaluate this practice.

A researcher conducts a study of different instructional methods. The researcher finds that student scores increase significantly when instructional time increases, so she predicts that scores will be even higher if the instructional time is 12 hours per day. Evaluate the prediction.

How many possible pairwise contrasts are there if J = 3?

Which of the following linear combinations of population means is a legitimate contrast?

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

Factorial Anova: Fixed-Effects Mode

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

A one-factor fixed-effects ANOVA results in the following: F (1, 17) = .011, p ₌.918. Which post-hoc procedure should be used as a follow-up?

In an experiment, = 10, = 20, and = 40. Tukey HSD shows that $\mu$ ₂- $\mu$ ₁ is a significant contrast. What will you find out about $\mu$ ₃- $\mu$ ₁ and $\mu$ ₃- $\mu$ ₂ if the same procedure and same $\alpha$ level are used?

A researcher used Fisher's LSD to test three contrasts: $\mu$ ₁- $\mu$ ₂, $\mu$ ₁- $\mu$ ₃, $\mu$ ₁-( $\mu$ ₂+ $\mu$ ₃)/2. Evaluate this practice.