Exam 16: Nonparametric Tests

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The one-sample runs test is useful to detect nonrandom patterns in time-series data.

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Which nonparametric test is analogous to a parametric k-sample test for means?

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The one-sample runs test is also called the Wald-Wolfowitz test after its inventors.

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The Kruskal-Wallis test is a test for randomness in sequential data.

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Which nonparametric test is analogous to a two-factor ANOVA without replication?

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The Wilcoxon rank sum test (Mann-Whitney test)requires two independent samples.

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Parametric tests generally are more powerful than nonparametric tests when normality can be assumed.

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Attendees at an outdoor concert can buy pavilion tickets (A)or lawn tickets (B).Below is the output for the one-sample runs to test whether there is a pattern in 32 consecutive ticket purchases. Attendees at an outdoor concert can buy pavilion tickets (A)or lawn tickets (B).Below is the output for the one-sample runs to test whether there is a pattern in 32 consecutive ticket purchases.   The best conclusion at α = .05 would be: The best conclusion at α = .05 would be:

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The Wilcoxon signed-rank test is less powerful than a one-sample test of a mean when the population is actually normal.

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Twenty customers are randomly chosen and each is given a sample of Nut Butter ice cream to taste.The customers rank the taste of the ice cream on a 10-point scale.Each is then given a sample of Chewy Gooey ice cream to taste and rank on a 10-point scale.Based on the 20 customers' ratings of each flavor,the research analyst conducting the survey wishes to determine if one flavor is preferred over the other.Which nonparametric test would you use to determine if there is a difference in the ratings?

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Spearman's rank correlation coefficient lies within the range 0 to 1.00 inclusive.

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We sometimes call the Wilcoxon rank sum test the Mann/Whitney test,but the two are the same.

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Returns on an investor's stock portfolio (n = 19 stocks)are compared for the same stock in each of two consecutive quarters.Since the returns are not normally distributed (normality test p-values were .005 and .126 respectively),a nonparametric test was chosen.The test results are shown below. Returns on an investor's stock portfolio (n = 19 stocks)are compared for the same stock in each of two consecutive quarters.Since the returns are not normally distributed (normality test p-values were .005 and .126 respectively),a nonparametric test was chosen.The test results are shown below.   Which is the best conclusion? Which is the best conclusion?

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At the Seymour Clinic,the total number of patients seen by three doctors over three days is as follows: At the Seymour Clinic,the total number of patients seen by three doctors over three days is as follows:   Which nonparametric test would you use to compare the median number of patients seen by the doctors on each day? Which nonparametric test would you use to compare the median number of patients seen by the doctors on each day?

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The Kruskal-Wallis test requires c independent samples (where usually c > 2).

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The Wilcoxon rank sum test (Mann-Whitney test)can be used even if population variances are unequal.

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Which nonparametric test has no parametric counterpart?

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Delta Air Lines wants to determine if the number of no-shows for flights originating from Detroit are higher than from Minneapolis.A sample of 20 flights from each city is taken and the number of no-shows is determined for each flight.Which nonparametric test would you use to determine whether the number of no-shows is greater in Detroit?

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The Wilcoxon signed-rank test does not assume a normal population,but it does require a roughly symmetric population.

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The Wilcoxon signed-rank test is robust to outliers in the data if the population is at least somewhat symmetric.

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