Question 1

The descriptive (rather than inferential) statistic(s) in Chapter 15 is (are) the

Accepted Answer

The Mann-Whitney U test and the Wilcoxon matched-pairs signed-ranks T test are both inferential statistics, not descriptive. Descriptive statistics summarize or describe the characteristics of a data set.

Question 2

Wilcoxon-Wilcox multiple comparisons test is to Wilcoxon matched-pairs signed-ranks T test as

Accepted Answer

The Wilcoxon-Wilcox multiple comparisons test is a non-parametric test that is used to compare multiple groups of data. It is the non-parametric equivalent of the Tukey HSD test, which is a parametric test that is used to compare multiple groups of data.

Question 3

Mann-Whitney U is to Wilcoxon matched-pairs signed-ranks T asis to

Accepted Answer

The Mann-Whitney U test is used for comparing two independent samples, similar to the independent-samples t-test. The Wilcoxon matched-pairs signed-ranks T test is used for comparing two related samples, similar to the paired-samples t-test.

Question 4

The Mann-Whitney U test is to the Wilcoxon matched-pairs signed-ranks T as

Accepted Answer

The Mann-Whitney U test is used for comparing two independent groups, similar to the independent-samples t-test, while the Wilcoxon matched-pairs signed-ranks T test is used for comparing two related samples, similar to the paired-samples t-test.

Question 5

The number of independent variables in the Wilcoxon-Wilcox multiple comparisons test is

Accepted Answer

The Wilcoxon-Wilcox multiple comparisons test is a non-parametric test used for comparing one independent variable across multiple groups.

Question 6

Suppose 25 cardinals and 25 bluejays were ranked for resistance to air pollution with the rank of one going to the most resistant bird. The smaller sum of ranks, 738, was for cardinals. The conclusion from these data is that

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The answer of Suppose 25 cardinals and 25 bluejays were...

Question 7

Suppose a Wilcoxon matched-pairs signed-ranks test with N = 60 produced a sum of thenegative ranks of 643. A z value of leads to the conclusion that the null hypothesisshould be .

Accepted Answer

The Wilcoxon matched-pairs signed-ranks test is a non-parametric test used to compare two related samples. The decision to reject or retain the null hypothesis is based on the z value. A z value of 2.00 typically corresponds to a p-value less than .05, leading to the rejection of the null hypothesis at the .05 level.

Question 8

A value of 0 is obtained for U when

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The answer of A value of 0 is obtained for...

Question 9

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

Accepted Answer

The answer of The _____ the value of U and...

Question 10

Given the scores: 7, 7, 8, 8, 8, 9, a score of 8 is given the rank

Accepted Answer

The score of 8 is given the rank of 4 because in ranking, each number is assigned a rank based on its position when the numbers are sorted. The first two 7s would be ranked 1 and 2 (or 1.5 if averaging ranks for ties), and the three 8s would be ranked 3, 4, and 5 (or 4 if averaging their ranks), making the average rank for an 8 equal to 4.

Question 11

What rank does a score of 3 receive? Scores: (score of 1 ranks 1) 1, 1, 2, 2, 3, 3, 3

Accepted Answer

The score of 3 is ranked 6th. The scores before it are two 1s (ranked 1 and 2) and two 2s (ranked 3 and 4), making the first occurrence of 3 the 5th rank. However, since all three 3s share the same rank in this context, they are collectively ranked as the 6th position, following the convention of ordinal ranking where identical values receive the same rank.

Question 12

For the numbers 1, 2, 3, 3, 3, 4, 4, 4, 4, 5, the rank for 4 is (score of 1 ranks 1)

Accepted Answer

The number 4 appears four times and starts at the 7th position in the ordered list. The rank is the average of these positions: (7+8+9+10)/4 = 8. However, the rank for the first occurrence of 4 is 7.5, which is the average of the positions 7 and 8.

Question 13

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

Accepted Answer

The answer of What rank would a score of 4...

Question 14

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

Accepted Answer

The answer of What rank would a score of 4...

Question 15

What rank does a score of 5 receive? Scores: (score of 1 ranks 1) 1, 2, 3, 4, 4, 4, 4, 5, 5

Accepted Answer

The answer of What rank does a score of 5...

Question 16

What is the rank of 4 in the following distribution? 1, 2, 2, 3, 3, 4, 4, 5, 5

Accepted Answer

The answer of What is the rank of 4 in...

Question 17

What rank would a score of 4 have in the following distribution? 1, 2, 3, 3, 3, 4, 4, 4, 6

Accepted Answer

In the given distribution, the scores below 4 are 1, 2, and three instances of 3, making a total of 5 scores below 4. Therefore, the first occurrence of 4 has a rank of 6. However, since there are three instances of 4, their average rank would be (6+7+8)/3 = 7. The question specifically asks for the rank of a score of 4, not the first occurrence, implying the average rank should be considered.

Question 18

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

Accepted Answer

In the given distribution, there are two instances of the score 4. To find the rank of a score of 4, we average the positions where these scores are found. The first 4 is in the 5th position, and the second 4 is in the 6th position. Averaging these positions gives us (5 + 6) / 2 = 11 / 2 = 5.5, making 4.5 the correct rank for a score of 4.

Question 19

The normal distribution is used as a sampling distribution for

Accepted Answer

The answer of The normal distribution is used as a...

Question 20

Nonparametric methods for large sample tests use the distribution to provide probability figures.

Accepted Answer

Nonparametric methods do not rely on assumptions about the form or parameters of the population distribution from which the sample is drawn. They use the normal distribution for large sample sizes due to the Central Limit Theorem, which states that the distribution of sample means approximates a normal distribution as the sample size becomes large, regardless of the population's distribution.

Quiz 15: More Nonparametric Tests