Question 1

Suppose you find one instance of two tied ranks while you are calculating a Spearman r_s. You should

Accepted Answer

When calculating Spearman's rank correlation coefficient and you encounter tied ranks, you assign the average rank to each of the tied values. This effectively gives the difference between the tied ranks a value of 0, as they are assigned the same rank.

Question 2

Suppose you were calculating a Spearman r_s on 12 pairs. In the difference column there were three zeros. You should

Accepted Answer

In Spearman's rank correlation coefficient calculation, zeros in the difference column (indicating ties) should not be eliminated. They are part of the data set, so N remains the total number of pairs, which is 12 in this case.

Question 3

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

Accepted Answer

The answer of The smallest value of a Spearman r_s...

Question 4

Suppose you found, for the 26 people in your wing of the dorm, a Spearman r_s of .38 between the number of breakfasts eaten during the term and grade point average. For a two-tailed test, you may conclude that there is

Accepted Answer

The Spearman correlation coefficient of .38 for a sample size of 26 does not typically indicate a significant relationship at conventional levels (e.g., .05, .01, .001) without further statistical tests or critical values comparison.

Question 5

Suppose you obtained a Spearman r_s of .38 from 26 pairs of scores. For a two-tailed test, such a correlation coefficient should be considered

Accepted Answer

The critical value for a two-tailed test with 26 pairs of scores and a significance level of .05 is .361. Since the obtained correlation coefficient of .38 is greater than the critical value, it is not statistically significant.

Question 6

Suppose you obtained a Spearman r_s of .43 from a sample of 20 pairs of scores. For a two-tailed test, such a correlation is

Accepted Answer

The answer of Suppose you obtained a Spearman r_s of...

Question 7

Suppose a researcher found an r_s of .89 between amount of blood cholesterol and the severity of the heart attack. Based on an N of 6 and a two-tailed test, the researcher should conclude

Accepted Answer

The r_s is significant at the .05 level because the critical value for r_s with N = 6 and a two-tailed test is .811.

Question 8

Suppose you obtained a Spearman r_s of .52 between tennis ability and racquetball ability for a class of 14 college students. For a two-tailed test, you may conclude that tennis ability and racquetball ability are

Accepted Answer

The answer of Suppose you obtained a Spearman r_s of...

Question 9

Suppose you obtained a Spearman r_s of .53 from a sample of 13 pairs of scores. For a two-tailed test, such a correlation coefficient is

Accepted Answer

The answer of Suppose you obtained a Spearman r_s of...

Question 10

Suppose a researcher found an r_s of .84 between the number of minutes of aerobic exercise and the degree of fitness for seven military inductees. For a two-tailed test, you can conclude that

Accepted Answer

A high correlation coefficient (r = .84) suggests a strong relationship between the variables, but it does not imply causation, only that the correlation is statistically significant at the .05 level given the context.

Question 11

An r_s of .55 based on 13 pairs of observations is, for a two-tailed test,

Accepted Answer

The answer of An r_s of .55 based on 13...

Question 12

Independent samples is to paired samples as

Accepted Answer

Mann-Whitney U test is used for independent samples, while Wilcoxon matched-pairs signed-ranks test is used for paired samples.

Question 13

Two nonparametric tests that test for a significant difference between two independent samples are the

Accepted Answer

The answer of Two nonparametric tests that test for a...

Question 14

The test most similar to a Tukey HSD test is

Accepted Answer

The answer of The test most similar to a Tukey...

Question 15

To describe the degree of relationship between two sets of data, use a

Accepted Answer

The Spearman rank correlation coefficient (denoted as Spearman's rho, or Spearman r) is used to measure the strength and direction of association between two ranked variables. It is a non-parametric measure of rank correlation, making it suitable for describing the degree of relationship between two sets of data, especially when those data do not necessarily meet the assumptions of parametric tests.

Question 16

To test for the differences among all possible pairs of independent samples, use a

Accepted Answer

The Wilcoxon-Wilcox multiple comparisons test is designed to test for differences among all possible pairs of independent samples, making it the correct choice for this purpose. The other options are designed for different types of comparisons or tests.

Question 17

To test for a difference between paired samples, use a

Accepted Answer

The Wilcoxon matched-pairs signed-ranks T test is specifically designed for testing differences between paired samples, making it the correct choice for such analyses.

Question 18

Suppose you wanted to show the degree of relationship between autokinetic movement experienced by subjects when they are alone and the movement experienced by the same subjects when they are being influenced by others. The nonparametric test that will show the degree of relationship is

Accepted Answer

Spearman's rank correlation coefficient (Spearman r_s) is a nonparametric test used to measure the strength and direction of association between two ranked variables, making it suitable for assessing the relationship between autokinetic movement in different conditions.

Question 19

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

Accepted Answer

The Wilcoxon-Wilcox multiple comparisons test is used to compare multiple groups of data. In this case, we have three groups of cities: west coast, mid-America, and east coast. We want to compare these groups to see which one is "best" and which one is "worst." The Wilcoxon-Wilcox multiple comparisons test is the appropriate statistic to use for this comparison.

Question 20

One common use of statistics is to rank a set of cities so the Number 1 is "best"and Number Last is "worst."Suppose you thought that large cities would have a high ranking and that small cities would generally have lower ranks. Which statistic should you use to test this idea?

Accepted Answer

The answer of One common use of statistics is to...

Quiz 15: More Nonparametric Tests

Suppose you find one instance of two tied ranks while you are calculating a Spearman rs. You should

Suppose you were calculating a Spearman rs on 12 pairs. In the difference column there were three zeros. You should

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

Suppose you found, for the 26 people in your wing of the dorm, a Spearman rs of .38 between the number of breakfasts eaten during the term and grade point average. For a two-tailed test, you may conclude that there is

Suppose you obtained a Spearman rs of .38 from 26 pairs of scores. For a two-tailed test, such a correlation coefficient should be considered

Suppose you obtained a Spearman rs of .43 from a sample of 20 pairs of scores. For a two-tailed test, such a correlation is

Suppose a researcher found an rs of .89 between amount of blood cholesterol and the severity of the heart attack. Based on an N of 6 and a two-tailed test, the researcher should conclude

Suppose you obtained a Spearman rs of .52 between tennis ability and racquetball ability for a class of 14 college students. For a two-tailed test, you may conclude that tennis ability and racquetball ability are

Suppose you obtained a Spearman rs of .53 from a sample of 13 pairs of scores. For a two-tailed test, such a correlation coefficient is

Suppose a researcher found an rs of .84 between the number of minutes of aerobic exercise and the degree of fitness for seven military inductees. For a two-tailed test, you can conclude that

An rs of .55 based on 13 pairs of observations is, for a two-tailed test,

Independent samples is to paired samples as

Two nonparametric tests that test for a significant difference between two independent samples are the

The test most similar to a Tukey HSD test is

To describe the degree of relationship between two sets of data, use a

To test for the differences among all possible pairs of independent samples, use a

To test for a difference between paired samples, use a

Suppose you wanted to show the degree of relationship between autokinetic movement experienced by subjects when they are alone and the movement experienced by the same subjects when they are being influenced by others. The nonparametric test that will show the degree of relationship is

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

One common use of statistics is to rank a set of cities so the Number 1 is "best"and Number Last is "worst."Suppose you thought that large cities would have a high ranking and that small cities would generally have lower ranks. Which statistic should you use to test this idea?

Suppose you find one instance of two tied ranks while you are calculating a Spearman r_s. You should

Suppose you were calculating a Spearman r_s on 12 pairs. In the difference column there were three zeros. You should

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

Suppose you found, for the 26 people in your wing of the dorm, a Spearman r_s of .38 between the number of breakfasts eaten during the term and grade point average. For a two-tailed test, you may conclude that there is

Suppose you obtained a Spearman r_s of .38 from 26 pairs of scores. For a two-tailed test, such a correlation coefficient should be considered

Suppose you obtained a Spearman r_s of .43 from a sample of 20 pairs of scores. For a two-tailed test, such a correlation is

Suppose a researcher found an r_s of .89 between amount of blood cholesterol and the severity of the heart attack. Based on an N of 6 and a two-tailed test, the researcher should conclude

Suppose you obtained a Spearman r_s of .52 between tennis ability and racquetball ability for a class of 14 college students. For a two-tailed test, you may conclude that tennis ability and racquetball ability are

Suppose you obtained a Spearman r_s of .53 from a sample of 13 pairs of scores. For a two-tailed test, such a correlation coefficient is

Suppose a researcher found an r_s of .84 between the number of minutes of aerobic exercise and the degree of fitness for seven military inductees. For a two-tailed test, you can conclude that

An r_s of .55 based on 13 pairs of observations is, for a two-tailed test,