Deck 23: Nonparametric Methods

Question 1

Eight hybrid cars are used to determine if there is a difference in gas mileage (MPG) with and without an additive claimed to increase the fuel efficiency.The appropriate nonparametric method to use for these data is the ________________________ .

A)Kruskal-Wallis test
B)Kendall's tau
C)Wilcoxon signed-rank test
D)Wilcoxon rank sum test
E)Spearman's rho

Answer 1

Wilcoxon signed-rank test

Question 2

Ratings were collected for four brands of ice cream, each tested by a different group of consumers.Ice cream was rated on the level of creaminess on a scale of 1 to 8 (1 = very creamy to 8 = not creamy).This data will be used to determine whether there differences in perceived creaminess among the four brands.What would be the critical value for the Kruskal-Wallis test at α = 0.10.

A)14.51
B)22.10
C)6.251
D)5.999
E)None of the above.

Answer 2

6.251

Question 3

Suppose that ten new smart phone models were evaluated by two consumer electronics magazines (Popular Electronics and Electronics Now) from 1 (best) to 10 (worst).To determine if there is difference in the rankings between the two magazines, the appropriate nonparametric method is ________________________ .

A)Wilcoxon Rank-Sum
B)Wilcoxon Signed-Rank
C)Spearman's rho
D)Kruskal Wallis
E)Kendall's tau

Answer 3

Wilcoxon Signed-Rank

Question 4

Suppose that ten new smart phone models were evaluated by two consumer electronics magazines from 1 (best) to 10 (worst).Spearman's rho was calculated to be
-)45.We can say that there is ________________________ .

A)a high level of agreement between the two magazine rankings
B)strong and positive association between the two magazine rankings
C)an outlier in the data that affects the results
D)a moderate level of disagreement between the two magazine rankings
E)a rank of number 1 for the same smart phone in both magazines

Question 5

Which of the following statements is false regarding nonparametric methods?

A)Nonparametric methods are appropriate when we want to treat the data as ordinal.
B)Compared to the correlation coefficient r, Kendall's tau is less affected by outliers in the data.
C)The Wilcoxon rank sum test is the nonparametric alternative to the paired t-test.
D)Spearman's rho is always between -1 and 1.
E)The Friedman test is appropriate for a randomized block design.

Question 6

Consumer ratings for three popular brands of yogurt are shown in the table to the right.Using the Kruskal-Wallis test to compare ratings among brands, the calculated value for the test statistic is ________________________ .

A)8.345
B)12.315
C)4.995
D)2.635
E)None of the above.

Question 7

A management professor divided her class of 10 executives into two equal sized groups and used a different approach to teach about various leadership styles (case study and online interactive).To compare the effectiveness of the two approaches, the appropriate nonparametric procedure is the ________________________ .

A)Kruskal-Wallis test
B)Kendall's tau
C)Wilcoxon signed-rank test
D)Wilcoxon rank sum test
E)Friedman test

Question 8

Four brands of ice cream was each tested by a different group of consumers and rated on the level of creaminess on a scale of 1 to 8 (1 = very creamy to 8 = not creamy).This data will be used to determine whether there differences in perceived creaminess among the four brands.Using the Kruskal-Wallis test, the value of H is

A)14.51
B)22.10
C)6.351
D)5.999
E)None of the above.

Question 9

Suppose that 6 federal government economists and 7 university economists were asked to grade the effectiveness of an economic stimulus bill in terms of its ability to increase jobs over the next two years.The grades are shown in the table to the right.Using the appropriate nonparametric method, the calculated value of the test statistic is ________________________ .

A)T₁ = 62.5
B)T₁ = 30
C)T₁ = 54
D)T₁ = 28.5
E)None of the above.

Question 10

Suppose that 6 federal government economists and 7 university economists were asked to grade the effectiveness of an economic stimulus bill in terms of its ability to increase jobs over the next two years.What nonparametric method is appropriate for testing if the two groups differ in terms of their opinion?

A)Wilcoxon Rank-Sum
B)Wilcoxon Signed-Rank
C)Spearman's rho
D)Kruskal Wallis
E)Kendall's tau

Question 11

The nonparametric alternative to the randomized block design is the ________________________ .

A)Kruskal-Wallis test
B)Kendall's tau
C)Wilcoxon Rank Sum test
D)Friedman test
E)Mann-Whitney test

Question 12

The best tasting ice creams are generally high in fat content, which gives them a creamy texture.Four brands of ice cream (two national and two local) were tested by consumers who rated how "creamy" they tasted on a 5-point Likert type scale (1 = not creamy to 5 = very creamy).Each brand was rated by a different group of consumers.The appropriate nonparametric method to use for these data is the ________________________ .

A)Kruskal-Wallis test
B)Kendall's tau
C)Wilcoxon signed-rank test
D)Wilcoxon rank sum test
E)Spearman's rho

Question 13

Eight hybrid cars are used to determine if there is a difference in gas mileage (MPG) with and without a particular additive.Using the appropriate nonparametric method, the value of the calculated test statistic for the data shown below is ________________________ .

A)4
B)5
C)8
D)30
E)35