Question 1

The symbol used for the ________________________ test is T.
A) Kruskal-Wallis
B) Spearman
C) Mann-Whitney
D) Wilcoxon matched-pairs signed-ranks

Accepted Answer

The Wilcoxon matched-pairs signed-ranks test uses the symbol T for its test statistic. This non-parametric test compares two related samples to assess whether their population mean ranks differ.

Question 2

The symbol used for the ________________________ test is r_s. A) Kruskal-Wallis B) Spearman C) Mann-Whitney D) Wilcoxon matched-pairs signed-ranks

Accepted Answer

The symbol r_s represents the Spearman rank correlation test.

Question 3

What is the difference between a parametric test and a nonparametric test?

Accepted Answer

The answer of What is the difference between a parametric...

Question 4

Identify three situations for which a nonparametric test would be appropriate.

Accepted Answer

The answer of Identify three situations for which a nonparametric...

Question 5

Identify the nonparametric alternative for each of the following parametric tests:
a. Independent samples t test
b. Related samples t test
c. One-way ANOVA, independent samples design
d. Pearson correlation

Accepted Answer

The answer of Identify the nonparametric alternative for each of...

Question 6

Identify the parametric test for which the following nonparametric alternatives would be appropriate:
a. Mann-Whitney test
b. Wilcoxon matched-pairs signed-ranks test
c. Kruskal-Wallis test
d. Spearman correlation

Accepted Answer

The answer of Identify the parametric test for which the...

Question 7

Based on the critical and obtained values of the various tests below, determine if the null hypothesis can be rejected:
 $\begin{array}{|c|l|c|c|c|}
\hline & {\text { Test }} & \text { Obt Value } & \text { Crit Value } & \frac{\underline{\text { Reject } \mathrm{H}_{0}}}{\underline{\mathrm{Yes} / \mathrm{No}}} \
\hline \text { a. } & \text { Mann-Whitney test } & 6 & 8 & \
\hline \text { b. } & \text { Wilcoxon matched-pairs signed-ranks test } & 15 & 13 & \
\hline \text { c. } & \text { Kruskal-Wallis test } & 12.23 & 9.488 & \
\hline \text { d. } & \text { Spearman correlation } & .6988 & .7273 & \
\hline
\end{array}$

Accepted Answer

The answer of Based on the critical and obtained values...

Question 8

Compare the obtained and critical values for the test results below and determine if the null hypothesis can be rejected.
 $\begin{array}{|l|l|l|c|}
\hline &  {\begin{array}{c}
\text { Obtained } \
\text { Value }
\end{array}} &  {\begin{array}{c}
\text { Critical } \
\text { Value }
\end{array}} & \begin{array}{c}
\text { Reject Ho } \
\text { Yes/No }
\end{array} \
\hline \text { a. } & r_{s_{a b t}}=.8391 & r_{s_{\text {crit }}}=. .7273 & \
\hline \text { b. } & T_{\text {bbt }}=10 & T_{\text {crit }}=12 & \
\hline \text { c. } & \mathcal{L}_{\text {obt }}=10.12 & \chi_{\text {crit }}^{2}=14.067 & \
\hline \text { d. } & U_{\text {obt }}=8 & U_{\text {crit }}=15 & \
\hline
\end{array}$

Accepted Answer

The answer of Compare the obtained and critical values for...

Question 9

For each of the following situations, decide which nonparametric test should be used. Assume that there is concern about meeting the assumptions of a parametric test or that the scores are measured on an ordinal scale.
a. A random sample of students taking statistics classes take a study skills assessment prior to the first class meeting. They take the assessment again at the end of the semester and their ratings are compared.
b. A dietician randomly assigns bunches of carrots into four groups, each of which will involve a different cooking method: roasting, steaming, boiling, and microwaving. Afterward, the nutrient content of each approach was evaluated and compared. 
c. Study skill ratings for a sample of students who have taken a statistics course are compared with the ratings of students who have not taken a statistics course.
d. The business manager of a large company wants to know if there is a relationship between sociability and productivity. She randomly selects 20 employees and administers a sociability survey. She then determined the productivity ratings of the same employees and compared them with their sociability ratings to assess the degree of relationship.
e. A homesickness questionnaire is administered to incoming freshmen at their student orientation. The ratings are compared for male and female students.
f. Improvement ratings are compared for three different types of therapy for people who suffer from social anxiety.

Accepted Answer

The answer of For each of the following situations, decide...

Question 10

Rank the following scores as if to conduct a Mann-Whitney u test:
Group A: 42, 36, 37, 49, 52, 37, 41
Group B: 29, 32, 37, 40, 31, 42, 27

Accepted Answer

The answer of Rank the following scores as if to...

Question 11

Conduct the Mann-Whitney U values for the following ranked scores and identify which one would be used as U_obt_. $\begin{array}{cc} \underline { \text{Rank}_{1}}&\underline { \text{Rank}_{1}}\ 1 & 2 \ 4 & 3 \ 6 & 5 \ 7 & 8 \ 9 & 11 \ 10 & \end{array}$

Accepted Answer

The answer of Conduct the Mann-Whitney U values for the...

Question 12

The ordinal level scores below were obtained before and after a treatment intervention. Calculate the Wilcoxon T value.
Before: 12, 15, 8, 10, 12, 7
After: 8, 12, 10, 10, 13, 5

Accepted Answer

The answer of The ordinal level scores below were obtained...

Question 13

Calculate the Kruskal-Wallis H value for the following ranked scores:
 $\begin{array}{ccc}
\underline {\text { Rank }_{1}} & \underline {\text { Rank }_{2}} & \underline {\text { Rank }_{3}}\
1 & 4 & 3 \
2 & 7 & 5 \
6 & 10 & 8 \
9 & 11 & 13 \
12 & 14 & 16 \
15 & 18 & 17
\end{array}$

Accepted Answer

The answer of Calculate the Kruskal-Wallis H value for the...

Question 14

Calculate the Spearman Correlation coefficient for the following ranked scores:
 $\begin{array}{cc}
\underline {\text { Rank X }} & \underline {\text { Rank Y }} \
 1 & 4 \
2 & 3 \
3 & 1 \
4 & 2 \
5 & 7 \
6 & 5 \
7 & 6
\end{array}$

Accepted Answer

The answer of Calculate the Spearman Correlation coefficient for the...

Question 15

A large bicycle store is testing two newly designed bicycle seats. One sample of cyclists rates the comfort level of model A. Another sample rates the comfort level of model B. The seats are rated on a scale from 1 to 10 with 10 representing the highest level of comfort. The cyclists' ratings are shown below. Do the ratings suggest that one model is more comfortable than the other? Conduct a Mann-Whitney U test at α = .05, two-tailed.
Model A: 6, 3, 7, 5, 4, 3
Model B: 8, 6, 9, 7, 8, 7

Accepted Answer

The answer of A large bicycle store is testing two...

Question 16

Nine individuals who experience social anxiety rate their level of discomfort in various social situations on a scale from 0 to 20 with 20 representing the highest level of discomfort. They then participate in an interpersonal group therapy program for three months after which they again rate their level of discomfort. Before and after therapy ratings are shown below. Use the Wilcoxon matched-pairs signed-ranks T test to determine if the ratings after therapy were significantly different from those before therapy. Use α = .05, two-tailed.
Before: 17, 18, 14, 16, 15, 17, 12, 13, 18
After: 8, 12, 12, 16, 8, 13, 13, 6, 10

Accepted Answer

The answer of Nine individuals who experience social anxiety rate...

Question 17

Three groups of wine connoisseurs rated the flavor profile of the same wine on a 10-point scale with 10 being the most favorable rating. Different comments were made to each group about the wine prior to the tasting in order to determine their possible influence on the ratings. The comments were as follows:
Group A: "Don't expect much."
Group B: "Not bad."
Group C: "Exceptional."
The ratings for each group are shown below. Use the Kruskal-Wallis H test to determine if there were significant differences in the ratings. Use α = .01, two-tailed.
Group A: 4, 3, 4, 5, 6, 2, 7
Group B: 6, 7, 6, 5, 8, 7, 5
Group C: 8, 10, 7, 9, 10, 8, 7

Accepted Answer

The answer of Three groups of wine connoisseurs rated the...

Question 18

Judges for a debate competition rated eight debaters on presentation, clarity, argumentation, and rebuttal. The composite ratings of two judges are shown below. Use the Spearman r_s to determine the degree of relationship between the judges' ratings. Test at α = .05, two-tailed. Judge A: 16, 20, 22, 14, 18, 12, 17 Judge B: 14, 21, 19, 13, 20, 11, 18

Accepted Answer

The answer of Judges for a debate competition rated eight...

Quiz 17: Nonparametric Statistics for Ordinal Data

The symbol used for the ________________________ test is T.

The symbol used for the ________________________ test is r_s.

What is the difference between a parametric test and a nonparametric test?

Identify three situations for which a nonparametric test would be appropriate.

Identify the nonparametric alternative for each of the following parametric tests: a. Independent samples t test b. Related samples t test c. One-way ANOVA, independent samples design d. Pearson correlation

Identify the parametric test for which the following nonparametric alternatives would be appropriate: a. Mann-Whitney test b. Wilcoxon matched-pairs signed-ranks test c. Kruskal-Wallis test d. Spearman correlation

Rank the following scores as if to conduct a Mann-Whitney u test: Group A: 42, 36, 37, 49, 52, 37, 41 Group B: 29, 32, 37, 40, 31, 42, 27

Conduct the Mann-Whitney U values for the following ranked scores and identify which one would be used as U_obt_. $\begin{array}{cc}\underline { \text{Rank}_{1}}&\underline { \text{Rank}_{1}}\\ 1 & 2 \\4 & 3 \\6 & 5 \\7 & 8 \\9 & 11 \\10 &\end{array}$

The ordinal level scores below were obtained before and after a treatment intervention. Calculate the Wilcoxon T value. Before: 12, 15, 8, 10, 12, 7 After: 8, 12, 10, 10, 13, 5

Calculate the Kruskal-Wallis H value for the following ranked scores: $\begin{array}{ccc}\underline {\text { Rank }_{1}} & \underline {\text { Rank }_{2}} & \underline {\text { Rank }_{3}}\\1 & 4 & 3 \\2 & 7 & 5 \\6 & 10 & 8 \\9 & 11 & 13 \\12 & 14 & 16 \\15 & 18 & 17\end{array}$

Calculate the Spearman Correlation coefficient for the following ranked scores: $\begin{array}{cc}\underline {\text { Rank X }} & \underline {\text { Rank Y }} \\ 1 & 4 \\2 & 3 \\3 & 1 \\4 & 2 \\5 & 7 \\6 & 5 \\7 & 6\end{array}$

Quiz 17: Nonparametric Statistics for Ordinal Data

The symbol used for the ________________________ test is T.

The symbol used for the ________________________ test is rs.

What is the difference between a parametric test and a nonparametric test?

Identify three situations for which a nonparametric test would be appropriate.

Identify the nonparametric alternative for each of the following parametric tests: a. Independent samples t test b. Related samples t test c. One-way ANOVA, independent samples design d. Pearson correlation

Identify the parametric test for which the following nonparametric alternatives would be appropriate: a. Mann-Whitney test b. Wilcoxon matched-pairs signed-ranks test c. Kruskal-Wallis test d. Spearman correlation

Rank the following scores as if to conduct a Mann-Whitney u test: Group A: 42, 36, 37, 49, 52, 37, 41 Group B: 29, 32, 37, 40, 31, 42, 27

The ordinal level scores below were obtained before and after a treatment intervention. Calculate the Wilcoxon T value. Before: 12, 15, 8, 10, 12, 7 After: 8, 12, 10, 10, 13, 5

The symbol used for the ________________________ test is r_s.