Applied Statistics In Business And Economics 6th Edition By Doane – Test Bank

Chapter 11 Analysis of Variance

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

Answer: FALSE
Explanation: ANOVA compares several means (although its test statistic is based on variances).
Difficulty: 1 Easy
Topic: 11.01 Overview of ANOVA
Learning Objective: 11-01 Use basic ANOVA terminology correctly.
Bloom’s: Remember
AACSB: Analytical Thinking
Accessibility: Keyboard Navigation

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

Answer: TRUE
Explanation: Although its test statistic is based on variances, ANOVA compares several means.
Difficulty: 1 Easy
Topic: 11.01 Overview of ANOVA
Learning Objective: 11-01 Use basic ANOVA terminology correctly.
Bloom’s: Remember
AACSB: Analytical Thinking
Accessibility: Keyboard Navigation

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.

Answer: FALSE
Explanation: There could be six two-way interactions: AB, AC, AD, BC, BD, CD.
Difficulty: 3 Hard
Topic: 11.07 Higher-Order ANOVA Models (Optional)
Learning Objective: 11-12 Recognize the need for experimental design and GLM (optional).
Bloom’s: Understand
AACSB: Analytical Thinking
Accessibility: Keyboard Navigation

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

Answer: FALSE
Explanation: Hartley’s test is designed to detect unequal population variances.
Difficulty: 2 Medium
Topic: 11.04 Tests for Homogeneity of Variances
Learning Objective: 11-08 Use Hartley’s test for equal variances in c treatment groups.
Bloom’s: Remember
AACSB: Analytical Thinking
Accessibility: Keyboard Navigation

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

Answer: TRUE
Explanation: Unequal population variances would violate an ANOVA assumption.
Difficulty: 2 Medium
Topic: 11.04 Tests for Homogeneity of Variances
Learning Objective: 11-08 Use Hartley’s test for equal variances in c treatment groups.
Bloom’s: Remember
AACSB: Analytical Thinking
Accessibility: Keyboard Navigation

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.

Answer: FALSE
Explanation: Multiple two-sample t-tests from the same data set would inflate the overall α.
Difficulty: 2 Medium
Topic: 11.03 Multiple Comparisons
Learning Objective: 11-07 Understand and perform Tukey’s test for paired means.
Bloom’s: Understand
AACSB: Analytical Thinking
Accessibility: Keyboard Navigation

7) ANOVA assumes equal variances within each treatment group.

Answer: TRUE
Explanation: ANOVA checks for unequal means, while assuming homogeneous variances.
Difficulty: 1 Easy
Topic: 11.01 Overview of ANOVA
Learning Objective: 11-02 Explain the assumptions of ANOVA and why they are important.
Bloom’s: Remember
AACSB: Analytical Thinking
Accessibility: Keyboard Navigation

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

Answer: FALSE
Explanation: 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.
Difficulty: 2 Medium
Topic: 11.07 Higher-Order ANOVA Models (Optional)
Learning Objective: 11-12 Recognize the need for experimental design and GLM (optional).
Bloom’s: Understand
AACSB: Analytical Thinking
Accessibility: Keyboard Navigation

9) ANOVA assumes normal populations.

Answer: TRUE
Explanation: Populations are assumed to be normally distributed and to have equal variances.
Difficulty: 1 Easy
Topic: 11.01 Overview of ANOVA
Learning Objective: 11-02 Explain the assumptions of ANOVA and why they are important.
Bloom’s: Remember
AACSB: Analytical Thinking
Accessibility: Keyboard Navigation

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

Answer: TRUE
Explanation: Tukey’s test is a follow-up to ANOVA to detect which pairs of means differ (if any).
Difficulty: 2 Medium
Topic: 11.03 Multiple Comparisons
Learning Objective: 11-07 Understand and perform Tukey’s test for paired means.
Bloom’s: Remember
AACSB: Analytical Thinking
Accessibility: Keyboard Navigation