Question 1

A two-sample t-test with independent samples corresponds to:

Accepted Answer

A)  a Wilcoxon signed rank test for paired samples 
B)  a Wilcoxon rank sum test 
C)  a Wilcoxon signed rank test for one sample 
D)  a Friedman test for randomized block design 
E)  a chi-square test 
A)  a Wilcoxon signed rank test for paired samples 
B)  a Wilcoxon rank sum test 
C)  a Wilcoxon signed rank test for one sample 
D)  a Friedman test for randomized block design 
E)  a chi-square test

Question 2

Which of the following statements about Spearman's rank-correlation coefficient is false?

Accepted Answer

A)  It is the test statistic used in Spearmen's rank-correlation test, symbolized by. 
B)  It can only take on values between 0 and + 1. 
C)  Positive values near + 1 point to a monotonically increasing relationship between the two variables, such that steady increases in one are associated with steady increases in the other. 
D)  None of these. 
E)  All of these. 
A)  It is the test statistic used in Spearmen's rank-correlation test, symbolized by. 
B)  It can only take on values between 0 and + 1. 
C)  Positive values near + 1 point to a monotonically increasing relationship between the two variables, such that steady increases in one are associated with steady increases in the other. 
D)  None of these. 
E)  All of these.

Question 3

The sign test is always to be preferred to the t test.

Accepted Answer

A) True 
 B)False

Question 4

The sign test is a nonparametric test that 1) uses the directions of differences observed in a matched pairs sample to determine whether the relative frequency distributions of two statistical populations are identical to or different from one another and 2) determines whether a sample comes from a population with a specified median.

Accepted Answer

A) True 
 B)False

Question 5

You are performing the Wilcoxon rank-sum test. The 13th through 15th values in an ordered array of pooled sample data all equal $180 (while the 12th value is less and the 16th value is more). The appropriate ranks for the three $180 values are:

Accepted Answer

A)  13, 14, 15 
B)  14, 14, 14 
C)  12.5, 13, 14.5 
D)  12.5, 13, 15 
E)  13, 13, 13 
A)  13, 14, 15 
B)  14, 14, 14 
C)  12.5, 13, 14.5 
D)  12.5, 13, 15 
E)  13, 13, 13

Question 6

The sign test is a nonparametric procedure for testing:

Accepted Answer

A)  whether two populations have identical means 
B)  whether two populations have identical medians 
C)  whether two populations have identical probability distributions 
D)  the amount of skewness in a single population 
E)  none of these 
A)  whether two populations have identical means 
B)  whether two populations have identical medians 
C)  whether two populations have identical probability distributions 
D)  the amount of skewness in a single population 
E)  none of these

Question 7

In a Kruskal-Wallis test, there are four samples, and the value of the test statistic is calculated as H = 13.21. Then the most accurate statement that can be made about the p-value of the test is that it is greater than 0.005 but smaller than 0.01.

Accepted Answer

A) True 
 B)False

Question 8

Consider the following data set: 2.2, 2.3, 2.3, 2.5, 2.6, 2.7, 2.8, 2.8, 2.8, 2.9, 3.1, 3.2, and 3.5. The rank assigned to the three observations of value 2.8 is:

Accepted Answer

A)  6 
B)  7 
C)  8 
D)  9 
E)  10 
A)  6 
B)  7 
C)  8 
D)  9 
E)  10

Question 9

The Wilcoxon rank-sum test is a nonparametric test that uses two independent simple random samples to determine whether the relative frequency distributions of two statistical populations of continuous values are identical to or different from one another.

Accepted Answer

A) True 
 B)False

Question 10

The Friedman test is applied to problems with the following characteristics:

Accepted Answer

A)  the problem objective is to compare two or more populations 
B)  the data are either ordinal or interval but not nominal 
C)  the data are generated from a randomized block experiment 
D)  all of these 
E)  the problem objective is to compare two or more populations and the data are either ordinal or interval but not nominal 
A)  the problem objective is to compare two or more populations 
B)  the data are either ordinal or interval but not nominal 
C)  the data are generated from a randomized block experiment 
D)  all of these 
E)  the problem objective is to compare two or more populations and the data are either ordinal or interval but not nominal

Question 11

The nonparametric counterpart of the randomized block model of the analysis of variance is the:

Accepted Answer

A)  Kruskal-Wallis test 
B)  Friedman test 
C)  Wilcoxon rank sum test 
D)  Wilcoxon signed rank sum test 
E)  Wilcoxon rank sum test and Wilcoxon signed rank sum test 
A)  Kruskal-Wallis test 
B)  Friedman test 
C)  Wilcoxon rank sum test 
D)  Wilcoxon signed rank sum test 
E)  Wilcoxon rank sum test and Wilcoxon signed rank sum test

Question 12

The Kruskal-Wallis test is always:

Accepted Answer

A)  one-tail 
B)  two-tail 
C)  used with one sample 
D)  used with only two samples 
E)  used when the populations are normally distributed 
A)  one-tail 
B)  two-tail 
C)  used with one sample 
D)  used with only two samples 
E)  used when the populations are normally distributed

Question 13

In testing the hypotheses   : The two population locations are the same.   : The two population locations are different.
The statistics T+ = 238, T- = 582, and n = 40 are calculated with data drawn from a matched pairs experiment.
Test statistic:
z-statistic = ______________
What is the p-value of this test?
______________
Can we infer at the 5% significance level that the population locations differ?
Conclusion: ______________
We ______________infer at the 5% significance level that the population locations differ.

Accepted Answer

-2.31; .02

Question 14

Which of the following tests employs matched-pairs sampling?

Accepted Answer

A)  The Wilcoxon signed-rank test. 
B)  The Wilcoxon rank-sum test. 
C)  The Mann-Whitney test. 
D)  The Friedman test. 
E)  The chi-square test. 
A)  The Wilcoxon signed-rank test. 
B)  The Wilcoxon rank-sum test. 
C)  The Mann-Whitney test. 
D)  The Friedman test. 
E)  The chi-square test.

Question 15

We can use the Friedman test to determine whether two populations differ. The conclusion will be the same as that produced from the sign test.

Accepted Answer

A) True 
 B)False

Question 16

Comparing the output of strawberries grown on plots using fertilizer A with that grown on otherwise identical plots using fertilizer B, in order to make a general assessment of relative fertilizer effectiveness, may well call for:

Accepted Answer

A)  a Friedman-Smirnov test 
B)  a Kruskal-Wallis test 
C)  a Wilcoxon rank-sum test 
D)  a Spearman rank correlation test 
E)  a chi-square test 
A)  a Friedman-Smirnov test 
B)  a Kruskal-Wallis test 
C)  a Wilcoxon rank-sum test 
D)  a Spearman rank correlation test 
E)  a chi-square test

Question 17

Statistical methods that require few assumptions, if any, about the population distribution are known as:

Accepted Answer

A)  parametric techniques 
B)  nonparametric techniques 
C)  free agent techniques 
D)  all of these 
E)  none of these 
A)  parametric techniques 
B)  nonparametric techniques 
C)  free agent techniques 
D)  all of these 
E)  none of these

Question 18

Apply the Friedman test to the accompany table of ordinal data to determine whether we can infer at the 10% significance level that at least two population locations differ.   Test Statistic:   = ______________
Reject Region:
Reject   if   > ______________
Conclude: ______________
We ______________ infer at the 10% significance level that at least two population locations differ.

Accepted Answer

6.70; 6.25

Question 19

In the Wilcoxon Signed-Rank test, if two or more measurements have the same nonzero difference, signs ignored, then:

Accepted Answer

A)  the scores are eliminated from the analysis 
B)  the scores are assigned the lowest rank of the tied values 
C)  the scores are assigned the highest rank of the tied values 
D)  the average of the ranks of the tied values is assigned 
E)  none of these 
A)  the scores are eliminated from the analysis 
B)  the scores are assigned the lowest rank of the tied values 
C)  the scores are assigned the highest rank of the tied values 
D)  the average of the ranks of the tied values is assigned 
E)  none of these

Question 20

The Kruskal-Wallis Test for Differences in more than 2 Medians is a nonparametric alternative to:

Accepted Answer

A)  ANOVA F test for completely randomized experiments 
B)  Student's t-test for related samples 
C)  Student's t-test for independent samples 
D)  Wilcoxon's Rank Sum Test for differences in two medians 
E)  Student's t-test for related samples and Student's t-test for independent samples 
A)  ANOVA F test for completely randomized experiments 
B)  Student's t-test for related samples 
C)  Student's t-test for independent samples 
D)  Wilcoxon's Rank Sum Test for differences in two medians 
E)  Student's t-test for related samples and Student's t-test for independent samples

A two-sample t-test with independent samples corresponds to:

Which of the following statements about Spearman's rank-correlation coefficient is false?

The sign test is always to be preferred to the t test.

You are performing the Wilcoxon rank-sum test. The 13^th through 15^th values in an ordered array of pooled sample data all equal $180 (while the 12^th value is less and the 16^th value is more). The appropriate ranks for the three $180 values are:

The sign test is a nonparametric procedure for testing:

In a Kruskal-Wallis test, there are four samples, and the value of the test statistic is calculated as H = 13.21. Then the most accurate statement that can be made about the p-value of the test is that it is greater than 0.005 but smaller than 0.01.

Consider the following data set: 2.2, 2.3, 2.3, 2.5, 2.6, 2.7, 2.8, 2.8, 2.8, 2.9, 3.1, 3.2, and 3.5. The rank assigned to the three observations of value 2.8 is:

The Wilcoxon rank-sum test is a nonparametric test that uses two independent simple random samples to determine whether the relative frequency distributions of two statistical populations of continuous values are identical to or different from one another.

The Friedman test is applied to problems with the following characteristics:

The nonparametric counterpart of the randomized block model of the analysis of variance is the:

The Kruskal-Wallis test is always:

Which of the following tests employs matched-pairs sampling?

We can use the Friedman test to determine whether two populations differ. The conclusion will be the same as that produced from the sign test.

Comparing the output of strawberries grown on plots using fertilizer A with that grown on otherwise identical plots using fertilizer B, in order to make a general assessment of relative fertilizer effectiveness, may well call for:

Statistical methods that require few assumptions, if any, about the population distribution are known as:

In the Wilcoxon Signed-Rank test, if two or more measurements have the same nonzero difference, signs ignored, then:

The Kruskal-Wallis Test for Differences in more than 2 Medians is a nonparametric alternative to:

Describing Data With Graphs

Describing Data With Numerical Measures

Describing Bivariate Data

Probability and Probability Distributions

Several Useful Discrete Distributions

The Normal Probability Distribution

Sampling Distributions

Large-Sample Estimation

Large-Sample Tests of Hypotheses

Inference From Small Samples

The Analysis of Variance

Linear Regression and Correlation

Multiple Regression Analysis

Analysis of Categorical Data

Filters

Exam 15: Nonparametric Statistics

A two-sample t-test with independent samples corresponds to:

Which of the following statements about Spearman's rank-correlation coefficient is false?

The sign test is always to be preferred to the t test.

You are performing the Wilcoxon rank-sum test. The 13th through 15th values in an ordered array of pooled sample data all equal $180 (while the 12th value is less and the 16th value is more). The appropriate ranks for the three $180 values are:

The sign test is a nonparametric procedure for testing:

In a Kruskal-Wallis test, there are four samples, and the value of the test statistic is calculated as H = 13.21. Then the most accurate statement that can be made about the p-value of the test is that it is greater than 0.005 but smaller than 0.01.

Consider the following data set: 2.2, 2.3, 2.3, 2.5, 2.6, 2.7, 2.8, 2.8, 2.8, 2.9, 3.1, 3.2, and 3.5. The rank assigned to the three observations of value 2.8 is:

The Wilcoxon rank-sum test is a nonparametric test that uses two independent simple random samples to determine whether the relative frequency distributions of two statistical populations of continuous values are identical to or different from one another.

The Friedman test is applied to problems with the following characteristics:

The nonparametric counterpart of the randomized block model of the analysis of variance is the:

The Kruskal-Wallis test is always:

Which of the following tests employs matched-pairs sampling?

We can use the Friedman test to determine whether two populations differ. The conclusion will be the same as that produced from the sign test.

Comparing the output of strawberries grown on plots using fertilizer A with that grown on otherwise identical plots using fertilizer B, in order to make a general assessment of relative fertilizer effectiveness, may well call for:

Statistical methods that require few assumptions, if any, about the population distribution are known as:

In the Wilcoxon Signed-Rank test, if two or more measurements have the same nonzero difference, signs ignored, then:

The Kruskal-Wallis Test for Differences in more than 2 Medians is a nonparametric alternative to:

Describing Data With Graphs

Describing Data With Numerical Measures

Describing Bivariate Data

Probability and Probability Distributions

Several Useful Discrete Distributions

The Normal Probability Distribution

Sampling Distributions

Large-Sample Estimation

Large-Sample Tests of Hypotheses

Inference From Small Samples

The Analysis of Variance

Linear Regression and Correlation

Multiple Regression Analysis

Analysis of Categorical Data

Filters

You are performing the Wilcoxon rank-sum test. The 13^th through 15^th values in an ordered array of pooled sample data all equal $180 (while the 12^th value is less and the 16^th value is more). The appropriate ranks for the three $180 values are: