Deck 13: Nonparametric Statistics

Question 1

Given the following data set, what is the ranking of the data value 23? Presume that lower data values rank ahead of higher data values.
26, 26, 16, 22, 33, 28, 11, 23

A) 4
B) 6
C) 5
D) 3

Answer 1

A

Question 2

Nonparametric statistics can be applied to populations that are not normally distributed.

Answer 2

False

Question 3

Given the following data set, what is the ranking of the data value 28? Presume that lower data values rank ahead of higher data values.
31, 28, 21, 27, 38, 33, 16, 28

A) 3
B) 4
C) 4.5
D) 3.5

Answer 3

C

Question 4

Which of the following is not an advantage of nonparametric methods over parametric methods?

A) They can be used to test population parameters when the variable is not normally distributed.
B) They can be used to test hypotheses that do not involve population parameters.
C) They can be used when the data are nominal or ordinal.
D) They can use smaller sample sizes to give the same amount of information as their parametric counterparts.

Question 5

The is used to test a hypothesis about a median value for a
sample. It includes counting the number of values greater or less than the
hypothesized median value.

Question 6

If a researcher is using the sign test and has 3 positive signs, 8 negative signs, and 4 zeros, what is the test value?

A) 0
B) 4
C) 3
D) 8

Question 7

If a variable is normally distributed, researchers will need more data to determine the
same information using parametric methods than they would using nonparametric
methods. In other words, parametric methods are not as efficient as nonparametric
methods.

Question 8

When performing a sign test, one needs to consider whether or not data values are
greater or less than a hypothesized median, as well as the magnitude of the differences
between the values and the hypothesized median..

Question 9

A paired-sample sign test is used to test hypotheses comparing two dependent samples,
such as a before and after test.

Question 10

Nonparametric methods are more sensitive than their parametric counterparts even when
the assumptions of the parametric methods are met.

Question 11

Question 12

Nonparametric methods tend to use less information than their parametric counterparts.

Question 13

Many nonparametric tests involve , which is the same as
positioning the data values in a data array according to some scale.

Question 14

If a researcher using the sign test counts 15 positive signs and 8 negative signs, the test value is .

A) -7
B) 7
C) 8
D) 15

Question 15

Given the following data set, what is the ranking of the data value 15? Presume that lowerdata values rank ahead of higher data values.
16, 18, 12, 19, 15, 20, 13, 18

A) 3
B) 6
C) 5
D) 4

Question 16

What is the critical value for a one-tailed sign test, at  = 0.01 when there are 14 samples?

A) 4
B) 1
C) 3
D) 2

Question 17

A) 1.15
B) -1.15
C) 1.32
D) -0.99

Question 18

What is another term for nonparametric statistics?

A) inferential statistics
B) distribution-free statistics
C) observational statistics
D) sign statistics

Question 19

A) Accept, because the test value 7 is greater than the critical value 4.
B) Accept, because the test value 7 is greater than the critical value 5.
C) Reject, because the test value 6 is greater than the critical value 4.
D) Reject, because the test value 6 is greater than the critical value 5.

Question 20

Question 21

If a student is interested in determining whether or not a particular score was the median
grade on the statistics exam, he might ask several other students what their scores were
then apply the Wilcoxon rank sum test..

Question 22

her

A) The data does not support the claim (does not reject the null hypothesis) because the test value 3 is equal to the critical value 3.
B) The data supports the claim (rejects null hypothesis) because the test value 3 is more than the critical value 2.
C) The data does not support the claim (does not reject the null hypothesis) because the test value 4 is more than the critical value 3.
D) The data does not support the claim (does not reject the null hypothesis) because the test value 4 is less than the critical value 7.

Question 23

Question 24

A) The sum of the ranks for the men is 130, and the sum of the ranks for the woman is 170.
B) The sum of the ranks for the men is 137.5, and the sum of the ranks for the woman is 162.5.
C) The sum of the ranks for the men is 170, and the sum of the ranks for the woman is 130.
D) The sum of the ranks for the men is 162.5, and the sum of the ranks for the woman is 137.5.

Question 25

d is

A) 2
B) 1
C) 4
D) 3

Question 26

Question 27

A researcher needs to conduct a suitable nonparametric test to compare two dependent variables. Which of the following should he use?

Question 28

Question 29

The Wilcoxon rank sum test is used to test dependent samples and the Wilcoxon
signed-rank test is used for independent samples.

Question 30

A) +3
B) +9
C) +15
D) +1

Question 31

gested

A) positive rank sum = 7; negative rank sum = -3
B) positive rank sum = 6; negative rank sum = -2
C) positive rank sum = 4; negative rank sum = -2
D) positive rank sum = 2; negative rank sum = -1

Question 32

Question 33

Question 34

Two independent sets of data are collected, the first with 15 subjects and the second with 26 subjects. Mr. X is a subject in the first data set and is associated with a value of 66.
In the first set, 3 values are ranked behind 66 and 11 values are ranked ahead of it (with
Mr) X being the other data value). In the second set, 9 values are ranked behind 66 and
16 values are ranked ahead of it. What is Mr. X's rank in a Wilcoxon rank sum test?

A) 28
B) 27
C) 12
D) 11

Question 35

In the Wilcoxon rank sum test, if the hypothesis is true, the
values in the different groups will not be ranked similarly.

Question 36

A) Do not reject the claim because the test value 3 is equal to the critical value
B) Reject the claim because the test value 4 is more than the critical value 3.
C) Do not reject the claim because the test value 3 is more than the critical value
D) Reject the claim because the test value 4 is more than the critical value 2.

Question 37

A) -3.5
B) -1
C) -9
D) -1.5

Question 38

d is

A) Yes. The test value is less than the critical value, so the null hypothesis is not rejected
B) No. The test value is greater than the critical value, so the null hypothesis is rejected.
C) Yes. The test value is greater than the critical value, so the null hypothesis is not rejected.
D) No. The test value is less than the critical value, so the null hypothesis is rejected

Question 39

d is

A) 7
B) 8
C) 4
D) 3

Question 40

A) Since the critical value is greater than the test value, there is enough evidence to reject the null hypothesis. Consequently, the data support the hypothesis that
Hypnosis reduces smoking.
B) Since the critical value is greater than the test value, there is not enough evidence to reject the null hypothesis. Consequently, the data do not support the hypothesis that
Hypnosis reduces smoking.
C) Since the critical value is less than the test value, there is enough evidence to reject the null hypothesis. Consequently, the data support the hypothesis that hypnosis
Reduces smoking.
D) Since the critical value is less than the test value, there is not enough evidence to reject the null hypothesis. Consequently, the data do not support the hypothesis that
Hypnosis reduces smoking.

Question 41

If a panel of two judges were asked to rank 10 science fair projects, and the sum of the
squares of the differences in the ranks was 49.5, then the Spearman rank correlation
coefficient would be 0.70.

Question 42

Question 43

A) 3.5
B) 2.5
C) 1.5
D) 4.5

Question 44

A) The test value is lower than the critical value, so the decision is to not reject the null hypothesis. There is not enough evidence to support the claim that these brands of
Driver affect the distance a player can hit the ball.
B) The test value is lower than the critical value, so the decision is to reject the null hypothesis. There is enough evidence to support the claim that the brand of driver
Does affect the distance a player can hit the ball.
C) The test value is higher than the critical value, so the decision is to not reject the null hypothesis. There is not enough evidence to support the claim that these brands
Of driver affect the distance a player can hit the ball.
D) The test value is higher than the critical value, so the decision is to reject the null hypothesis. There is enough evidence to support the claim that the brand of driver
Does affect the distance a player can hit the ball.

Question 45

What is the test value for the Kruskal-Wallis test?

A) 8.16
B) -8.98
C) 4.94
D) 11.19

Question 46

How many runs are in the following sequence? A A B A B B B B B A B A

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

Question 47

A) +3.5
B) +3
C) +5
D) +4

Question 48

A) 4.78
B) 22.5
C) 23.88
D) 58

Question 49

Question 50

A) 0.371
B) 0.886
C) 0.628
D) 0.714

Question 51

Question 52

Question 53

A) Reject null hypothesis because the test value 15 is greater than the critical value 14
B) Do not reject null hypothesis because the test value 15 is less than the critical value 17
C) Do not reject null hypothesis because the test value 15 is greater than the critical value 14
D) Reject null hypothesis because the test value 15 is less than the critical value 17.

Question 54

A) 6.251
B) 4.605
C) 0.584
D) 0.211

Question 55

Question 56

onal

A) 13.610
B) 16.610
C) 3.805
D) 6.805

Question 57

A) 0.828
B) 0.700
C) 0.578
D) 0.911

Question 58

A) 41.5
B) 3.0
C) 0.0
D) 33.5

Question 59

A) 0.428
B) 0.958
C) 0.654
D) 0.809

Question 60

A) 0.929
B) 0.780
C) 0.716
D) 1.000

Question 61

A) Do not reject the hypothesis that the sequence is random, because the test value 3 is between the critical values 3 and 10.
B) Do not reject the hypothesis that the sequence is random, because the test value 4 is between the critical values 3 and 11.
C) Do not reject the hypothesis that the sequence is random, because the test value 5 is outside the critical values 3 and 12.
D) Reject the hypothesis that the sequence is random, because the test value 3 is between the critical values 3 and 11.

Question 62

A) Do not reject the hypothesis that the sequence is random, because the test value 6 is between the critical values 3 and 13
B) Reject the hypothesis that the sequence is random, because the test value 6 is between the critical values 3 and 12
C) Reject the hypothesis that the sequence is random, because the test value 10 is between the critical values 3 and 13
D) Do not reject the hypothesis that the sequence is random, because the test value 10 is between the critical values 3 and 12