Question 1

A nonparametric method that is equivalent to the Wilcoxon rank sum test is the:

Accepted Answer

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

Question 2

To determine if a relationship exists between two variables, the hypotheses to be tested are   .

Accepted Answer

A) True 
 B)False

Question 3

Because of the rising costs of industrial accidents, many chemical, mining, and manufacturing firms have instituted safety courses. Employees are encouraged to take these courses designed to heighten safety awareness. A company is trying to decide which one of two courses to institute. To help make a decision, eight employees take course 1 and another eight take course 2. Each employee writes a test, which is marked, out of a possible 25. The results are shown below.   Do these data provide sufficient evidence at the 5% level of significance to conclude that the marks from course 2 are higher than those of course 1? Assume that the scores are not normally distributed.
The null and alternate hypotheses are:   : The two population locations are the same.   : The location of population 1 (course 1) is to the left of the location of population 2.
Test statistic = ______________
Critical Value = ______________
Conclusion: ______________
There ______________ enough evidence to include conclude that the two populations are the same.

Accepted Answer

55.5; 51;

Question 4

Suppose you want to use the Wilcoxon rank sum test to detect a shift in distribution 1 either to the left or to the right of distribution 2, based on samples of sizes   = 7 and   = 9.
Should you use T1 or T1* as the test statistic?
______________
What is the rejection region for the test is   = 0.05?
Reject   if the test statistic   ______________.
What is the rejection region for the test if   =0.01?
Reject   if the test statistic   ______________.

Accepted Answer

T=min(T1,T

Question 5

The rank correlation coefficient is used when one is:

Accepted Answer

A)  correlating quantitative data 
B)  correlating rankings of individual values for two variables 
C)  analyzing data which are assumed to be linearly related 
D)  not interested in drawing inferences from the study 
E)  analyzing data which are assumed to be non-linearly related 
A)  correlating quantitative data 
B)  correlating rankings of individual values for two variables 
C)  analyzing data which are assumed to be linearly related 
D)  not interested in drawing inferences from the study 
E)  analyzing data which are assumed to be non-linearly related

Question 6

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 7

Consider the following data set: 14, 14, 15, 16, 18, 19, 19, 20, 21, 22, 23, 25, 25, 25, 25, and 28. The rank assigned to the four observations of value 25 is:

Accepted Answer

A)  12 
B)  12.5 
C)  13 
D)  13.5 
E)  14 
A)  12 
B)  12.5 
C)  13 
D)  13.5 
E)  14

Question 8

One of the required conditions of the sign test is that the number of nonzero differences n must be greater than or equal to 30.

Accepted Answer

A) True 
 B)False

Question 9

The Wilcoxon signed-rank sum test involves:

Accepted Answer

A)  calculating the difference between the sample data for each matched pair. (Pairs with zero differences are eliminated from the test at this stage, and sample size, n, is reduced to the remaining number of pairs with nonzero differences) 
B)  ranking the absolute values of the (nonzero) differences from the smallest (rank= 1 ) to the largest (rank = n) 
C)  attaching to each rank the sign of the original difference corresponding to it, calculating the sum of these signed ranks, and designating it as the test statistic, T 
D)  all of these 
E)  none of these 
A)  calculating the difference between the sample data for each matched pair. (Pairs with zero differences are eliminated from the test at this stage, and sample size, n, is reduced to the remaining number of pairs with nonzero differences) 
B)  ranking the absolute values of the (nonzero) differences from the smallest (rank= 1 ) to the largest (rank = n) 
C)  attaching to each rank the sign of the original difference corresponding to it, calculating the sum of these signed ranks, and designating it as the test statistic, T 
D)  all of these 
E)  none of these

Question 10

Nonparametric tests are often more efficient than parametric tests.

Accepted Answer

A) True 
 B)False

Question 11

In testing the hypotheses:
H0: The two population locations are the same.
H1: The location of population 1 is to the left of the location of population 2.
The statistics n1 = 6, n2 = 8, T1 = 32, and T1* = 58 are calculated with data drawn from two independent samples.
What is the value of the test statistic?
Test statistic = ______________
What is the rejection region for this test at   = 0.05?
Critical Value = ______________
What is your conclusion at   = 0.05?
Conclusion: ______________
There ______________ enough evidence to include conclude that the two populations are the same.

Accepted Answer

32; 31; Fa

Question 12

Spearman's rank-correlation coefficient can only take on values between:

Accepted Answer

A)  0 and 
B)  and 0 
C)  1 and +1 
D)  and +1 
E)  and 
A)  0 and 
B)  and 0 
C)  1 and +1 
D)  and +1 
E)  and

Question 13

To investigate the effect of sleep on basal metabolism, seven college students who averaged seven or more hours of sleep a night (Group A), and five students who averaged less than seven hours of sleep a night (Group B), were examined and their basal metabolism recorded as shown below.   Since it was not clear whether the assumptions for a t-test were valid, the researcher decided to employ nonparametric methods. Use the Wilcoxon rank sum procedure to determine whether the metabolism measurements for Group A are significantly higher than those of Group B. Use   = 0.05.
The null and alternate hypotheses are as follows:   : The distributions of metabolism measurements for the two groups are identical.   : The distribution of metabolism measurements for Group B is shifted to the left of Group A. (i.e., the metabolism measurements are lower for Group B)
What is the test statistic?   : ______________
What is the critical value for the test statistic?
______________
Thus: ______________
Conclude:
We ______________ conclude the distribution of metabolism measurements for Group B is lower than those for Group A.

Accepted Answer

24.5; 21; Fail to re

Question 14

The population Spearman correlation coefficient is labeled   , and the sample statistic used to estimate its value is labeled   .

Accepted Answer

A) True 
 B)False

Question 15

In a normal approximation to the sign test, the standardized test statistic is calculated as z = -1.58. To test the alternative hypothesis that the location of population 1 is to left of the location of population 2, the p-value of the test is:

Accepted Answer

A)  0.1142 
B)  0.2215 
C)  0.0571 
D)  0.2284 
A)  0.1142 
B)  0.2215 
C)  0.0571 
D)  0.2284

Question 16

The following paired observations were obtained on two variables x and y:   Calculate Spearman's rank correlation coefficient   :
______________
Do the data present sufficient evidence to indicate a correlation between x and y? Test using   = 0.05.
Reject Region:
Reject   if |   | > ______________
Conclude:
______________
There ______________ correlation between x and y.

Accepted Answer

-1; .886;

Question 17

In a Kruskal-Wallis test, there are four samples and the value of the test statistic is calculated as H = 8.79. The most accurate statement that can be made about the p-value is that:

Accepted Answer

A)  it is greater than 0.10 
B)  it is greater than 0.05 but smaller than 0.10 
C)  it is greater than 0.05 
D)  it is greater than 0.025 but smaller than 0.05 
E)  it is less than 0.025 
A)  it is greater than 0.10 
B)  it is greater than 0.05 but smaller than 0.10 
C)  it is greater than 0.05 
D)  it is greater than 0.025 but smaller than 0.05 
E)  it is less than 0.025

Question 18

The z-test approximation to the Wilcoxon signed rank sum test is used whenever the number of non-zeros differences is at least 50.

Accepted Answer

A) True 
 B)False

Question 19

Nonparametric statistical methods generally specify hypotheses in terms of population distributions rather than parameters such as means and standard deviations.

Accepted Answer

A) True 
 B)False

Question 20

Which one of the following is a disadvantage of the sign test?

Accepted Answer

A)  Tied pairs are not considered in the analysis. 
B)  Only the signs of the differences and not the actual values are used in the analysis. 
C)  Its inability to cope with small samples. 
D)  Results from such tests have little practical use. 
E)  None of these. 
A)  Tied pairs are not considered in the analysis. 
B)  Only the signs of the differences and not the actual values are used in the analysis. 
C)  Its inability to cope with small samples. 
D)  Results from such tests have little practical use. 
E)  None of these.

A nonparametric method that is equivalent to the Wilcoxon rank sum test is the:

To determine if a relationship exists between two variables, the hypotheses to be tested are .

The rank correlation coefficient is used when one 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.

Consider the following data set: 14, 14, 15, 16, 18, 19, 19, 20, 21, 22, 23, 25, 25, 25, 25, and 28. The rank assigned to the four observations of value 25 is:

One of the required conditions of the sign test is that the number of nonzero differences n must be greater than or equal to 30.

The Wilcoxon signed-rank sum test involves:

Nonparametric tests are often more efficient than parametric tests.

Spearman's rank-correlation coefficient can only take on values between:

The population Spearman correlation coefficient is labeled , and the sample statistic used to estimate its value is labeled .

In a normal approximation to the sign test, the standardized test statistic is calculated as z = -1.58. To test the alternative hypothesis that the location of population 1 is to left of the location of population 2, the p-value of the test is:

In a Kruskal-Wallis test, there are four samples and the value of the test statistic is calculated as H = 8.79. The most accurate statement that can be made about the p-value is that:

The z-test approximation to the Wilcoxon signed rank sum test is used whenever the number of non-zeros differences is at least 50.

Nonparametric statistical methods generally specify hypotheses in terms of population distributions rather than parameters such as means and standard deviations.

Which one of the following is a disadvantage of the sign test?

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 nonparametric method that is equivalent to the Wilcoxon rank sum test is the:

To determine if a relationship exists between two variables, the hypotheses to be tested are .

The rank correlation coefficient is used when one 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.

Consider the following data set: 14, 14, 15, 16, 18, 19, 19, 20, 21, 22, 23, 25, 25, 25, 25, and 28. The rank assigned to the four observations of value 25 is:

One of the required conditions of the sign test is that the number of nonzero differences n must be greater than or equal to 30.

The Wilcoxon signed-rank sum test involves:

Nonparametric tests are often more efficient than parametric tests.

Spearman's rank-correlation coefficient can only take on values between:

The population Spearman correlation coefficient is labeled , and the sample statistic used to estimate its value is labeled .

In a normal approximation to the sign test, the standardized test statistic is calculated as z = -1.58. To test the alternative hypothesis that the location of population 1 is to left of the location of population 2, the p-value of the test is:

In a Kruskal-Wallis test, there are four samples and the value of the test statistic is calculated as H = 8.79. The most accurate statement that can be made about the p-value is that:

The z-test approximation to the Wilcoxon signed rank sum test is used whenever the number of non-zeros differences is at least 50.

Nonparametric statistical methods generally specify hypotheses in terms of population distributions rather than parameters such as means and standard deviations.

Which one of the following is a disadvantage of the sign test?

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