Deck 18: Tests for Ordinal Data

Question 1

How are the degrees of freedom for the Wilcoxon rank-sum test determined?

A) N - 1
B) N(n - 1)
C) N - k
D) There are no degrees of freedom for the Wilcoxon rank-sum test.

Answer 1

There are no degrees of freedom for the Wilcoxon rank-sum test.

Question 2

Imagine you conduct a Wilcoxon rank-sum test with the following results: W_s (n₁ = 5 and n₂ = 5) = 18. What should you conclude?

A) p < .05
B) p < .01
C) p < .005
D) The result is not significant.

Answer 2

p < .05

Question 3

Imagine you conduct a one-tailed Wilcoxon rank-sum test with the following results: W_s (n₁ = 8 and n₂ = 8) = 55. What should you conclude?

A) p < .05
B) p < .01
C) p < .005
D) The result is not significant.

Answer 3

The result is not significant.

Question 4

For a one-tailed Wilcoxon rank-sum test with n₁ = 6 and n₂ = 6, what is the critical value?

A) 28 or higher
B) 28 or lower
C) 26 or higher
D) 26 or lower

Question 5

For a one-tailed Wilcoxon rank-sum test with n₁ = 10 and n₂ = 10, what is the critical value?

A) 87 or higher
B) 87 or lower
C) 82 or higher
D) 82 or lower

Question 6

Imagine you conduct a one-tailed Wilcoxon matched-pairs signed-ranks T test with the following result: T (N = 12) = 18. What should you conclude?

A) p < .05
B) p < .01
C) p < .005
D) The result is not significant.

Question 7

Imagine you conduct a two-tailed Wilcoxon matched-pairs signed-ranks T test with the following result: T (N = 18) = 38. What should you conclude?

A) p < .05
B) p < .01
C) p < .005
D) The result is not significant.

Question 8

For a one-tailed Wilcoxon matched-pairs signed-ranks T test with N = 20, what is the critical value?

A) 52 or higher
B) 52 or lower
C) 60 or higher
D) 60 or lower

Question 9

For a two-tailed Wilcoxon matched-pairs signed-ranks T test with N = 28, what is the critical value?

A) 116 or higher
B) 116 or lower
C) 130 or higher
D) 130 or lower

Question 10

Both the _____ test and the _____ test are used with within-subjects designs.

A) Friedman; Kruskal-Wallis
B) Friedman; Wilcoxon matched-pairs signed-ranks T
C) Kruskal-Wallis; Wilcoxon rank-sum
D) Wilcoxon rank-sum; Friedman

Question 11

Both the _____ test and the _____ test are used with between-subjects designs.

A) Friedman; Kruskal-Wallis
B) Friedman; Wilcoxon matched-pairs signed-ranks T
C) Kruskal-Wallis; Wilcoxon rank-sum
D) Wilcoxon rank-sum; Friedman

Question 12

Both the _____ test and the _____ test are used with ordinal data to compare two groups.

A) Friedman; Kruskal-Wallis
B) Friedman; Wilcoxon matched-pairs signed-ranks T
C) Kruskal-Wallis; Wilcoxon rank-sum
D) Wilcoxon rank-sum; Wilcoxon matched-pairs signed-ranks T

Question 13

Both the _____ test and the _____ test are used with ordinal data to compare more than two groups.

A) Friedman; Kruskal-Wallis
B) Friedman; Wilcoxon matched-pairs signed-ranks T
C) Kruskal-Wallis; Wilcoxon rank-sum
D) Wilcoxon rank-sum; Wilcoxon matched-pairs signed-ranks T

Question 14

Imagine I conducted the following experiment: I used gender as a nonmanipulated independent variable and measured performance in my class. I measured performance by ranking everyone in the class, giving the person with the highest grade a 1, the person with the 2^nd highest grade a 2, etc. Which statistic would I use to determine any differences in performance between these two groups?

Question 15

A researcher is interested in comparing the self-esteem of students who volunteer for community service versus those who do not. The researcher assumes that those who complete community service will have higher self-esteem scores. Self-esteem scores tend to be skewed (not normally distributed). The self-esteem scores are given below. Higher scores indicate higher self-esteem levels.

-What statistical test should be used to analyze these data?

Question 16

A researcher is interested in comparing the self-esteem of students who volunteer for community service versus those who do not. The researcher assumes that those who complete community service will have higher self-esteem scores. Self-esteem scores tend to be skewed (not normally distributed). The self-esteem scores are given below. Higher scores indicate higher self-esteem levels.

-Identify H0 and Ha for this study.

Question 17

A researcher is interested in comparing the self-esteem of students who volunteer for community service versus those who do not. The researcher assumes that those who complete community service will have higher self-esteem scores. Self-esteem scores tend to be skewed (not normally distributed). The self-esteem scores are given below. Higher scores indicate higher self-esteem levels.

-Conduct the appropriate analysis.

Question 18

A researcher is interested in comparing the self-esteem of students who volunteer for community service versus those who do not. The researcher assumes that those who complete community service will have higher self-esteem scores. Self-esteem scores tend to be skewed (not normally distributed). The self-esteem scores are given below. Higher scores indicate higher self-esteem levels.

-Should H0 be rejected? What should the researcher conclude?

Question 19

Explain when it would be appropriate to use the Friedman test and the Kruskal-Wallis test.