Question 1

Find the correlation (rs) for the data below and write a conclusion.
 $$\begin{array} { c c } 
\text { Rank in Weight } & \text { Rank in Dominance Hierarchy } \
\hline 1 & 3 \
2 & 4 \
3 & 1 \
4 & 8 \
5 & 7 \
6 & 2 \
7 & 5 \
8 & 6 \
9 & 9
\end{array}$$

Accepted Answer

$$r _ { \mathrm { s } } = 1 - \frac { 6 ( 56 ) } { 9 ( 80 ) } = 1 - \frac { 336 } { 720 } = 1 - .47 = .53$$ 
From Table L, an $r _ { s }$ =.587 is required at the .05 level.Retain H0. Based on this small sample, there is no statistically significant relationship between weight and dominance.

Question 2

One common use of statistics is to rank a set of universities so the Number 1 is "best"and Number Last is "worst."Suppose you thought that east coast universities were better than mid-America universities, which were better than west coast universities. Which statistic should you use to make this comparison?

Accepted Answer

A)  Mann-Whitney U test 
B)  Wilcoxon matched-pairs signed-ranks T test 
C)  Wilcoxon-Wilcox multiple comparisons test 
D)  Spearman rs. 
A)  Mann-Whitney U test 
B)  Wilcoxon matched-pairs signed-ranks T test 
C)  Wilcoxon-Wilcox multiple comparisons test 
D)  Spearman rs. C

Question 3

For large samples, the sampling distribution for the Mann-Whitney U test and the Wilcoxon matched-pairs signed-ranks T test is the chi square distribution.

Accepted Answer

A) True 
 B)False  False

Question 4

The null hypothesis for nonparametric tests is that the population

Accepted Answer

A)  means are identical 
B)  variances are identical 
C)  distributions are identical 
D)  none of the descriptive alternatives are correct. 
A)  means are identical 
B)  variances are identical 
C)  distributions are identical 
D)  none of the descriptive alternatives are correct.

Question 5

One common use of statistics in education is to rank a set of universities so the Number 1 is "best"and Number Last is "worst."Suppose you thought that the main variable that determined rank was number of students. Which statistic below should you use to make this comparison?

Accepted Answer

A)  Mann-Whitney U test 
B)  Wilcoxon matched-pairs signed-ranks T test 
C)  Wilcoxon-Wilcox multiple comparisons test 
D)  Spearman rs. 
A)  Mann-Whitney U test 
B)  Wilcoxon matched-pairs signed-ranks T test 
C)  Wilcoxon-Wilcox multiple comparisons test 
D)  Spearman rs.

Question 6

The tests described in Chapter 15 use sampling distributions based on ranks.

Accepted Answer

A) True 
 B)False

Question 7

The Mann-Whitney U test is used for independent samples.

Accepted Answer

A) True 
 B)False

Question 8

The null hypothesis for the Wilcoxon matched-pairs signed-ranks T test is that the

Accepted Answer

A)  sample means are the same 
B)  sample distributions are the same 
C)  population distributions are the same 
D)  population means are the same. 
A)  sample means are the same 
B)  sample distributions are the same 
C)  population distributions are the same 
D)  population means are the same.

Question 9

What rank would a score of 4 have in the following distribution? 1, 2, 3, 3, 4, 4, 5, 5, 5

Accepted Answer

A)  4 
B)  4.5 
C)  5 
D)  6 
A)  4 
B)  4.5 
C)  5 
D)  6

Question 10

The following data are ranks for four groups on a test. One requirement that is not shown in the data must be met before a Wilcoxon-Wilcox test of all possible comparisons can be made. State the requirement, and compare all four groups.
 $$\begin{array} { r c r r } 
\mathrm { A } & \mathrm { B } & \mathrm { C } & \mathrm { D } \
\hline 3 & 8 & 5 & 10 \
9 & 11 & 6 & 15 \
1 & 4 & 13 & 20 \
7 & 2 & 18 & 12 \
14 & 17 & 21 & 22 \
16 & 19 & 24 & 23
\end{array}$$

Accepted Answer

a. Samples must be independent

Question 11

The smallest value of a Spearman rs that is significant at the .05 level for a two-tailed test when the number of pairs is 20 is

Accepted Answer

A)  .53 
B)  .50 
C)  .45 
D)  .38. 
A)  .53 
B)  .50 
C)  .45 
D)  .38.

Question 12

The normal distribution is used as a sampling distribution for

Accepted Answer

A)  large sample Spearman rs 
B)  large sample Mann-Whitney U 
C)  small sample Wilcoxon matched-pairs signed-ranks T 
D)  none of the descriptive alternatives are correct. 
A)  large sample Spearman rs 
B)  large sample Mann-Whitney U 
C)  small sample Wilcoxon matched-pairs signed-ranks T 
D)  none of the descriptive alternatives are correct.

Question 13

Which of the following could not be analyzed with a Wilcoxon-Wilcox multiple-comparisons test?

Accepted Answer

A)  three independent samples 
B)  Nl = 10, N2 = 20, N3 = 30 
C)  the data for three groups that consisted of ranks in college 
D)  all of the descriptive alternatives are correct. 
A)  three independent samples 
B)  Nl = 10, N2 = 20, N3 = 30 
C)  the data for three groups that consisted of ranks in college 
D)  all of the descriptive alternatives are correct.

Question 14

One common use of statistics is to rank a set of universities so that Number 1 is "best"and Number Last is "worst."Suppose you thought that being a private university would contribute to having a higher ranking and public universities would generally have lower ranks. Which statistic should you use to make this comparison?

Accepted Answer

A)  Mann-Whitney U test 
B)  Wilcoxon matched-pairs signed-ranks T 
C)  Wilcoxon-Wilcox multiple comparisons test 
D)  Spearman rs. 
A)  Mann-Whitney U test 
B)  Wilcoxon matched-pairs signed-ranks T 
C)  Wilcoxon-Wilcox multiple comparisons test 
D)  Spearman rs.

Question 15

The thing that all four nonparametric methods in your text have in common is that the statistic analyzed is a

Accepted Answer

A)  mean 
B)  median 
C)  raw score 
D)  rank score. 
A)  mean 
B)  median 
C)  raw score 
D)  rank score.

Question 16

With scores of 1, 2, 3, 4, 4, 5, a score of 4 has a rank of 4.

Accepted Answer

A) True 
 B)False

Question 17

Data Set 15-1: The scores below are ranks. They were obtained by taking each raw score and giving it a rank of 1 to 4.
 $$\begin{array} { c c } 
\text { Group 1 } & \text { Group 2 } \
\hline 1 & 3 \
2 & 4
\end{array}$$
-Given what has already been done to the data in Data Set 15-1, the most likely analysis would be a

Accepted Answer

A)  Mann-Whitney test 
B)  Wilcoxon matched-pairs signed ranks test 
C)  Spearman's rs 
D)  unknown not enough information is given. 
A)  Mann-Whitney test 
B)  Wilcoxon matched-pairs signed ranks test 
C)  Spearman's rs 
D)  unknown not enough information is given.

Question 18

Data Set 15-1: The scores below are ranks. They were obtained by taking each raw score and giving it a rank of 1 to 4.
 $$\begin{array} { c c } 
\text { Group 1 } & \text { Group 2 } \
\hline 1 & 3 \
2 & 4
\end{array}$$
-Refer to Data Set 15-1. The rationale of nonparametric tests says that if the null hypothesis is true,

Accepted Answer

A)  the mean score of the population from which Group 1 comes will be equal to that ofGroup 2 
B)  the mean score of the population from which Group 1 comes will not be equal to that ofGroup 2 
C)  the sum of the ranks of those in Group 1 will be equal to the sum of those in Group 2 
D)  the sum of the ranks of those in Group 1 will not be equal to the sum of those in Group 2. 
A)  the mean score of the population from which Group 1 comes will be equal to that ofGroup 2 
B)  the mean score of the population from which Group 1 comes will not be equal to that ofGroup 2 
C)  the sum of the ranks of those in Group 1 will be equal to the sum of those in Group 2 
D)  the sum of the ranks of those in Group 1 will not be equal to the sum of those in Group 2.

Question 19

Nonparametric statistical tests do not require the assumptions about the populations that are required of parametric tests.

Accepted Answer

A) True 
 B)False

Question 20

The _____ the value of U and the ____ the value of T, the more likely to reject the null hypothesis.

Accepted Answer

A)  larger, larger 
B)  larger, smaller 
C)  smaller, smaller 
D)  smaller, larger. 
A)  larger, larger 
B)  larger, smaller 
C)  smaller, smaller 
D)  smaller, larger.

Find the correlation (r_s) for the data below and write a conclusion. Rank in Weight Rank in Dominance Hierarchy 1 3 2 4 3 1 4 8 5 7 6 2 7 5 8 6 9 9

For large samples, the sampling distribution for the Mann-Whitney U test and the Wilcoxon matched-pairs signed-ranks T test is the chi square distribution.

The null hypothesis for nonparametric tests is that the population

One common use of statistics in education is to rank a set of universities so the Number 1 is "best"and Number Last is "worst."Suppose you thought that the main variable that determined rank was number of students. Which statistic below should you use to make this comparison?

The tests described in Chapter 15 use sampling distributions based on ranks.

The Mann-Whitney U test is used for independent samples.

The null hypothesis for the Wilcoxon matched-pairs signed-ranks T test is that the

What rank would a score of 4 have in the following distribution? 1, 2, 3, 3, 4, 4, 5, 5, 5

The following data are ranks for four groups on a test. One requirement that is not shown in the data must be met before a Wilcoxon-Wilcox test of all possible comparisons can be made. State the requirement, and compare all four groups. 3 8 5 10 9 11 6 15 1 4 13 20 7 2 18 12 14 17 21 22 16 19 24 23

The smallest value of a Spearman r_s that is significant at the .05 level for a two-tailed test when the number of pairs is 20 is

The normal distribution is used as a sampling distribution for

Which of the following could not be analyzed with a Wilcoxon-Wilcox multiple-comparisons test?

The thing that all four nonparametric methods in your text have in common is that the statistic analyzed is a

With scores of 1, 2, 3, 4, 4, 5, a score of 4 has a rank of 4.

Data Set 15-1: The scores below are ranks. They were obtained by taking each raw score and giving it a rank of 1 to 4. Group 1 Group 2 1 3 2 4 -Given what has already been done to the data in Data Set 15-1, the most likely analysis would be a

Data Set 15-1: The scores below are ranks. They were obtained by taking each raw score and giving it a rank of 1 to 4. Group 1 Group 2 1 3 2 4 -Refer to Data Set 15-1. The rationale of nonparametric tests says that if the null hypothesis is true,

Nonparametric statistical tests do not require the assumptions about the populations that are required of parametric tests.

The _ the value of U and the the value of T, the more likely to reject the null hypothesis.

Introduction

Exploring Data: Frequency Distributions and Graphs

Exploring Data: Central Tendency

Exploring Data: Variability

Other Descriptive Statistics

Correlation and Regression

Theoretical Distributions Including the Normal Distribution

Samples, Sampling Distributions, and Confidence Intervals

Hypothesis Testing and Effect Size: One-Sample Designs

Hypothesis Testing, Effect Size, and and Confidence Intervals: Two-Sample Designs

Analysis of Variance: One-Way Classification

Analysis of Variance: One-Factor Repeated Measures

Analysis of Variance: Factorial Design

Chi Square Tests

Appendix: Grouped Frequency Distributions and Central Tendency

Filters

Exam 15: More Nonparametric Tests

Find the correlation (rs) for the data below and write a conclusion. Rank in Weight Rank in Dominance Hierarchy 1 3 2 4 3 1 4 8 5 7 6 2 7 5 8 6 9 9

For large samples, the sampling distribution for the Mann-Whitney U test and the Wilcoxon matched-pairs signed-ranks T test is the chi square distribution.

The null hypothesis for nonparametric tests is that the population

One common use of statistics in education is to rank a set of universities so the Number 1 is "best"and Number Last is "worst."Suppose you thought that the main variable that determined rank was number of students. Which statistic below should you use to make this comparison?

The tests described in Chapter 15 use sampling distributions based on ranks.

The Mann-Whitney U test is used for independent samples.

The null hypothesis for the Wilcoxon matched-pairs signed-ranks T test is that the

What rank would a score of 4 have in the following distribution? 1, 2, 3, 3, 4, 4, 5, 5, 5

The following data are ranks for four groups on a test. One requirement that is not shown in the data must be met before a Wilcoxon-Wilcox test of all possible comparisons can be made. State the requirement, and compare all four groups. 3 8 5 10 9 11 6 15 1 4 13 20 7 2 18 12 14 17 21 22 16 19 24 23

The smallest value of a Spearman rs that is significant at the .05 level for a two-tailed test when the number of pairs is 20 is

The normal distribution is used as a sampling distribution for

Which of the following could not be analyzed with a Wilcoxon-Wilcox multiple-comparisons test?

The thing that all four nonparametric methods in your text have in common is that the statistic analyzed is a

With scores of 1, 2, 3, 4, 4, 5, a score of 4 has a rank of 4.

Data Set 15-1: The scores below are ranks. They were obtained by taking each raw score and giving it a rank of 1 to 4. Group 1 Group 2 1 3 2 4 -Given what has already been done to the data in Data Set 15-1, the most likely analysis would be a

Data Set 15-1: The scores below are ranks. They were obtained by taking each raw score and giving it a rank of 1 to 4. Group 1 Group 2 1 3 2 4 -Refer to Data Set 15-1. The rationale of nonparametric tests says that if the null hypothesis is true,

Nonparametric statistical tests do not require the assumptions about the populations that are required of parametric tests.

The _____ the value of U and the ____ the value of T, the more likely to reject the null hypothesis.

Introduction

Exploring Data: Frequency Distributions and Graphs

Exploring Data: Central Tendency

Exploring Data: Variability

Other Descriptive Statistics

Correlation and Regression

Theoretical Distributions Including the Normal Distribution

Samples, Sampling Distributions, and Confidence Intervals

Hypothesis Testing and Effect Size: One-Sample Designs

Hypothesis Testing, Effect Size, and and Confidence Intervals: Two-Sample Designs

Analysis of Variance: One-Way Classification

Analysis of Variance: One-Factor Repeated Measures

Analysis of Variance: Factorial Design

Chi Square Tests

Appendix: Grouped Frequency Distributions and Central Tendency

Filters

Find the correlation (r_s) for the data below and write a conclusion. Rank in Weight Rank in Dominance Hierarchy 1 3 2 4 3 1 4 8 5 7 6 2 7 5 8 6 9 9

The smallest value of a Spearman r_s that is significant at the .05 level for a two-tailed test when the number of pairs is 20 is

The _ the value of U and the the value of T, the more likely to reject the null hypothesis.