Applied Statistics In Business And Economics 5th Edition By Doane – Test Bank

Chapter 11 Analysis of Variance Answer Key

True / False Questions

1. ANOVA is a procedure intended to compare the variances of several groups (treatments).

FALSE
ANOVA compares several means (although its test statistic is based on variances).

AACSB: Analytical Thinking
Accessibility: Keyboard Navigation
Blooms: Remember
Difficulty: 1 Easy
Learning Objective: 11-01 Use basic ANOVA terminology correctly.
Topic: Overview of ANOVA

2. ANOVA is a procedure intended to compare the means of several groups (treatments).

TRUE
Although its test statistic is based on variances, ANOVA compares several means.

AACSB: Analytical Thinking
Accessibility: Keyboard Navigation
Blooms: Remember
Difficulty: 1 Easy
Learning Objective: 11-01 Use basic ANOVA terminology correctly.
Topic: Overview of ANOVA

3. If you have four factors (call them A, B, C, and D) in an ANOVA experiment with replication, you could have a maximum of four different two-factor interactions.

FALSE
There could be six two-way interactions: AB, AC, AD, BC, BD, CD.

AACSB: Analytical Thinking
Accessibility: Keyboard Navigation
Blooms: Understand
Difficulty: 3 Hard
Learning Objective: 11-12 Recognize the need for experimental design and GLM (optional).
Topic: Higher-Order ANOVA Models (Optional)

4. Hartley’s test measures the equality of the means for several groups.

FALSE
Hartley’s test is designed to detect unequal population variances.

AACSB: Analytical Thinking
Accessibility: Keyboard Navigation
Blooms: Remember
Difficulty: 2 Medium
Learning Objective: 11-08 Use Hartley’s test for equal variances in c treatment groups.
Topic: Tests for Homogeneity of Variances

5. Hartley’s test is to check for unequal variances for c groups.

TRUE
Unequal population variances would violate an ANOVA assumption.

AACSB: Analytical Thinking
Accessibility: Keyboard Navigation
Blooms: Remember
Difficulty: 2 Medium
Learning Objective: 11-08 Use Hartley’s test for equal variances in c treatment groups.
Topic: Tests for Homogeneity of Variances

6. Comparison of c means in one-factor ANOVA can equivalently be done by using c individual t-tests on c pairs of means at the same α.

FALSE
Multiple two-sample t-tests from the same data set would inflate the overall α.

AACSB: Analytical Thinking
Accessibility: Keyboard Navigation
Blooms: Understand
Difficulty: 2 Medium
Learning Objective: 11-07 Understand and perform Tukey’s test for paired means.
Topic: Multiple Comparisons

7. ANOVA assumes equal variances within each treatment group.

TRUE
ANOVA checks for unequal means, while assuming homogeneous variances.

AACSB: Analytical Thinking
Accessibility: Keyboard Navigation
Blooms: Remember
Difficulty: 1 Easy
Learning Objective: 11-02 Explain the assumptions of ANOVA and why they are important.
Topic: Overview of ANOVA

8. Three-factor ANOVA is required if we have three treatment groups (i.e., three data columns).

FALSE
If there are only three columns of data, we only have one factor (with three treatments). The hypothesis is whether the three treatment group means are the same.

AACSB: Analytical Thinking
Accessibility: Keyboard Navigation
Blooms: Understand
Difficulty: 2 Medium
Learning Objective: 11-12 Recognize the need for experimental design and GLM (optional).
Topic: Higher-Order ANOVA Models (Optional)

9. ANOVA assumes normal populations.

TRUE
Populations are assumed to be normally distributed and to have equal variances.

AACSB: Analytical Thinking
Accessibility: Keyboard Navigation
Blooms: Remember
Difficulty: 1 Easy
Learning Objective: 11-02 Explain the assumptions of ANOVA and why they are important.
Topic: Overview of ANOVA

10. Tukey’s test compares pairs of treatment means in an ANOVA.

TRUE
Tukey’s test is a follow-up to ANOVA to detect which pairs of means differ (if any).