Question 1

Most nonparametric tests require data measured on a ratio scale.

Accepted Answer

A) True 
 B)False

Question 2

Which is not a characteristic of the Wilcoxon rank sum (Mann-Whitney) test?

Accepted Answer

A) It can be used as a test for equality of two population medians. 
B) It is analogous to a one-sample t test comparing a mean with a benchmark. 
C) It requires independent samples from populations with equal variances. 
D) It is similar to one-factor ANOVA when we have c independent samples. 
A) It can be used as a test for equality of two population medians. 
B) It is analogous to a one-sample t test comparing a mean with a benchmark. 
C) It requires independent samples from populations with equal variances. 
D) It is similar to one-factor ANOVA when we have c independent samples.

Question 3

The one-sample runs test uses a test statistic that is normally distributed, as long as the number of runs of each type is large enough.

Accepted Answer

A) True 
 B)False

Question 4

The Friedman test is often almost as powerful as two-factor ANOVA without replication (randomized block design).

Accepted Answer

A) True 
 B)False

Question 5

Which nonparametric test is analogous to a parametric k-sample test for means?

Accepted Answer

A) Kruskal-Wallis test 
B) Wilcoxon signed-rank test 
C) Wilcoxon rank sum (Mann-Whitney) test 
D) Wald-Wolfowitz one-sample runs test 
A) Kruskal-Wallis test 
B) Wilcoxon signed-rank test 
C) Wilcoxon rank sum (Mann-Whitney) test 
D) Wald-Wolfowitz one-sample runs test

Question 6

The one-sample runs test is also called the Wald-Wolfowitz test named after its inventors.

Accepted Answer

A) True 
 B)False

Question 7

Which nonparametric test is used to test for agreement in ranks of paired data?

Accepted Answer

A) Spearman test 
B) Friedman test 
C) Wilcoxon rank sum (Mann-Whitney) test 
D) Kruskal-Wallis test 
A) Spearman test 
B) Friedman test 
C) Wilcoxon rank sum (Mann-Whitney) test 
D) Kruskal-Wallis test

Question 8

The one-sample runs test is useful to detect nonrandom patterns in time-series data.

Accepted Answer

A) True 
 B)False

Question 9

You do not wish to assume normality in the population, yet you wish to compare central tendency in c samples. You decide to utilize MegaStat, whose menu is shown here:   Which menu would you choose?

Accepted Answer

A) Hypothesis Tests 
B) Nonparametric Tests 
C) Correlation/Regression 
D) Analysis of Variance 
A) Hypothesis Tests 
B) Nonparametric Tests 
C) Correlation/Regression 
D) Analysis of Variance

Question 10

Parametric tests generally are more powerful than nonparametric tests when normality can be assumed.

Accepted Answer

A) True 
 B)False

Question 11

Individuals in four different age groups are asked to rate, on a scale of 1 to 10, three flavors of ice creams. Each group has the same number of individuals. Median ratings by the individuals are grouped by the flavor of ice cream and by age group. Which nonparametric test could be used to see if there is a difference in median ratings among the four age groups and three flavors?

Accepted Answer

A) Wilcoxon signed-rank test 
B) Friedman test 
C) Mann-Whitney test 
D) Kruskal-Wallis test 
A) Wilcoxon signed-rank test 
B) Friedman test 
C) Mann-Whitney test 
D) Kruskal-Wallis test

Question 12

At the Food Barn, children can order from the adult menu (A) or the child's menu (C). Below is the pattern of menu orders for 24 children last Wednesday evening. A, A, A, A, C, A, A, C, C, C, A, A, A, A, A, A, C, C, C, A, C, C, C, C
Which test would you choose to see if this pattern is random?

Accepted Answer

A) Kruskal-Wallis test 
B) Wilcoxon rank sum (Mann-Whitney) test 
C) Wald-Wolfowitz one-sample runs test 
D) Wilcoxon test 
A) Kruskal-Wallis test 
B) Wilcoxon rank sum (Mann-Whitney) test 
C) Wald-Wolfowitz one-sample runs test 
D) Wilcoxon test

Question 13

Returns on an investor's stock portfolio (n = 19 stocks) are compared for the same stock in each of two consecutive quarters. Since the returns are not normally distributed (normality test p-values were .005 and .126 respectively), a nonparametric test was chosen. The test results are shown below. $\text { Wilcoxon Paired Data Test}$

$\begin{array}{|l|l|l|}
\hline\text { n }&\text { sum of ranks }\
\hline 19 & 247& \text {Qtr 1 }\
\hline 19 & 494& \text {Qtr 2 }\
\hline 38 & 741& \text { total}\
\hline
\end{array}$

$370.50$ expected value
$34.25$ standard deviation
$- 3.59 z$
$.0003 \mathrm { p }$-value (two-tailed) Which is the best conclusion?

Accepted Answer

A) The means are the same at ? = .01. 
B) The medians are the same at ? = .01. 
C) The means differ at ? = .01. 
D) The medians differ at ? = .01. 
A) The means are the same at ? = .01. 
B) The medians are the same at ? = .01. 
C) The means differ at ? = .01. 
D) The medians differ at ? = .01.

Question 14

The Kruskal-Wallis test is a test for randomness in sequential data.

Accepted Answer

A) True 
 B)False

Question 15

Which is not a characteristic of the Kruskal-Wallis test?

Accepted Answer

A) It is analogous to the parametric one-factor ANOVA. 
B) It does not make any assumptions about the populations. 
C) It is useful in comparing the medians in c groups. 
D) It does not require normal distributions of populations. 
A) It is analogous to the parametric one-factor ANOVA. 
B) It does not make any assumptions about the populations. 
C) It is useful in comparing the medians in c groups. 
D) It does not require normal distributions of populations.

Question 16

The Kruskal-Wallis test applies even if the c samples to be compared are not independent.

Accepted Answer

A) True 
 B)False

Question 17

If the population is normal, we would usually prefer a nonparametric test.

Accepted Answer

A) True 
 B)False

Question 18

All of these are nonparametric tests except:

Accepted Answer

A) Spearman rank correlation test. 
B) Friedman test. 
C) Student's t test. 
D) Kruskal-Wallis test. 
A) Spearman rank correlation test. 
B) Friedman test. 
C) Student's t test. 
D) Kruskal-Wallis test.

Question 19

The Wilcoxon signed-rank test is analogous to a parametric two-sample t test of means from independent samples.

Accepted Answer

A) True 
 B)False

Question 20

The Kruskal-Wallis test is less useful in finance or marketing, because normal populations can usually be assumed in financial or marketing data.

Accepted Answer

A) True 
 B)False

Most nonparametric tests require data measured on a ratio scale.

Which is not a characteristic of the Wilcoxon rank sum (Mann-Whitney) test?

The one-sample runs test uses a test statistic that is normally distributed, as long as the number of runs of each type is large enough.

The Friedman test is often almost as powerful as two-factor ANOVA without replication (randomized block design).

Which nonparametric test is analogous to a parametric k-sample test for means?

The one-sample runs test is also called the Wald-Wolfowitz test named after its inventors.

Which nonparametric test is used to test for agreement in ranks of paired data?

The one-sample runs test is useful to detect nonrandom patterns in time-series data.

You do not wish to assume normality in the population, yet you wish to compare central tendency in c samples. You decide to utilize MegaStat, whose menu is shown here: Which menu would you choose?

Parametric tests generally are more powerful than nonparametric tests when normality can be assumed.

At the Food Barn, children can order from the adult menu (A) or the child's menu (C). Below is the pattern of menu orders for 24 children last Wednesday evening. A, A, A, A, C, A, A, C, C, C, A, A, A, A, A, A, C, C, C, A, C, C, C, C Which test would you choose to see if this pattern is random?

The Kruskal-Wallis test is a test for randomness in sequential data.

Which is not a characteristic of the Kruskal-Wallis test?

The Kruskal-Wallis test applies even if the c samples to be compared are not independent.

If the population is normal, we would usually prefer a nonparametric test.

All of these are nonparametric tests except:

The Wilcoxon signed-rank test is analogous to a parametric two-sample t test of means from independent samples.

The Kruskal-Wallis test is less useful in finance or marketing, because normal populations can usually be assumed in financial or marketing data.

Overview of Statistics

Data Collection

Describing Data Visually

Descriptive Statistics

Probability

Discrete Probability Distributions

Continuous Probability Distributions

Sampling Distributions and Estimation

One-Sample Hypothesis Tests

Two-Sample Hypothesis Tests

Analysis of Variance

Simple Regression

Multiple Regression

Time Series Analysis

Chi-Square Tests

Quality Management

Filters

Exam 16: Nonparametric Tests

Most nonparametric tests require data measured on a ratio scale.

Which is not a characteristic of the Wilcoxon rank sum (Mann-Whitney) test?

The one-sample runs test uses a test statistic that is normally distributed, as long as the number of runs of each type is large enough.

The Friedman test is often almost as powerful as two-factor ANOVA without replication (randomized block design).

Which nonparametric test is analogous to a parametric k-sample test for means?

The one-sample runs test is also called the Wald-Wolfowitz test named after its inventors.

Which nonparametric test is used to test for agreement in ranks of paired data?

The one-sample runs test is useful to detect nonrandom patterns in time-series data.

You do not wish to assume normality in the population, yet you wish to compare central tendency in c samples. You decide to utilize MegaStat, whose menu is shown here: Which menu would you choose?

Parametric tests generally are more powerful than nonparametric tests when normality can be assumed.

At the Food Barn, children can order from the adult menu (A) or the child's menu (C). Below is the pattern of menu orders for 24 children last Wednesday evening. A, A, A, A, C, A, A, C, C, C, A, A, A, A, A, A, C, C, C, A, C, C, C, C Which test would you choose to see if this pattern is random?

The Kruskal-Wallis test is a test for randomness in sequential data.

Which is not a characteristic of the Kruskal-Wallis test?

The Kruskal-Wallis test applies even if the c samples to be compared are not independent.

If the population is normal, we would usually prefer a nonparametric test.

All of these are nonparametric tests except:

The Wilcoxon signed-rank test is analogous to a parametric two-sample t test of means from independent samples.

The Kruskal-Wallis test is less useful in finance or marketing, because normal populations can usually be assumed in financial or marketing data.

Overview of Statistics

Data Collection

Describing Data Visually

Descriptive Statistics

Probability

Discrete Probability Distributions

Continuous Probability Distributions

Sampling Distributions and Estimation

One-Sample Hypothesis Tests

Two-Sample Hypothesis Tests

Analysis of Variance

Simple Regression

Multiple Regression

Time Series Analysis

Chi-Square Tests

Quality Management

Filters