Exam 17: Nonparametric Statistics for Ordinal Data

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Rank the following scores as if to conduct a Mann-Whitney u test: Group A: 42, 36, 37, 49, 52, 37, 41 Group B: 29, 32, 37, 40, 31, 42, 27

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Rank the scores:
 Group A Rank Group B Rank36527137729237731341103244211.5377491340952144211.5\begin{array}{cccc}\underline { \text { Group A} } & \underline { \text { Rank} } & \underline { \text { Group B} } &\underline { \text { Rank} } \\ 36 & 5 & 27 & 1 \\37 & 7 & 29 & 2 \\37 & 7 & 31 & 3 \\41 & 10 & 32 & 4 \\42 & 11.5 & 37 & 7 \\49 & 13 & 40 & 9 \\52 & 14 & 42 & 11.5\end{array}

Which nonparametric test for ordinal data uses the same distribution as chi-square if the sample size for each group is a minimum of 5?

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A

In addition to end of course evaluations of their professors, a separate survey is also administered to measure their professors' sense of humor. The Director of Institutional Effectiveness compares the ranks of both sets of scores and uses the ______________________ to determine if there is a relationship between them.

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Three groups of wine connoisseurs rated the flavor profile of the same wine on a 10-point scale with 10 being the most favorable rating. Different comments were made to each group about the wine prior to the tasting in order to determine their possible influence on the ratings. The comments were as follows: Group A: "Don't expect much." Group B: "Not bad." Group C: "Exceptional." The ratings for each group are shown below. Use the Kruskal-Wallis H test to determine if there were significant differences in the ratings. Use α = .01, two-tailed. Group A: 4, 3, 4, 5, 6, 2, 7 Group B: 6, 7, 6, 5, 8, 7, 5 Group C: 8, 10, 7, 9, 10, 8, 7

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A sample of back pain sufferers rate their level of pain on a scale from 1 to 7. They then undergo acupuncture treatment. Afterwards, they again rate their level of pain. What is the appropriate test for this study?

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In ranking the scores 3, 5, 5, 7, 7, 7, and 9, the score of 7 is given a rank of __________.

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Two values for U are calculated for the Mann-Whitney test. Which of the following is used for comparison with Ucrit?

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________ is the symbol used for the Spearman correlation test.

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All of the following statements are true except:

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The nonparametric alternative to the Pearson correlation coefficient is the

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Which nonparametric test below calls for rejecting the null hypothesis if the obtained test value is less than the critical value?

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Which of the following test(s) require(s) an obtained statistic that is equal to or greater than the critical value in order to reject H₀?

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The nonparametric alternative to the related samples t test is the

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The nonparametric alternative to the one-way ANOVA, independent samples design is the

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A new pain medication is being tested. One group receives a placebo and another group receives the medication. After two weeks, both groups rate their level of pain. Which of the following should be used to analyze the data?

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The __________________ test calls for rejecting the null hypothesis if the obtained test value is _____________ the critical value.

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Annual income is known to form a skewed distribution but a researcher wants to know if there is a difference in the distributions of income for men and women in her company. She obtains a random sample of each, converts their annual income into ranks, and then uses the _____________________ test to determine if the overall salaries of one gender differ significantly from the other.

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The symbol used for the ________________________ test is U.

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The ordinal level scores below were obtained before and after a treatment intervention. Calculate the Wilcoxon T value. Before: 12, 15, 8, 10, 12, 7 After: 8, 12, 10, 10, 13, 5

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The Kruskal-Wallis test would be appropriate for which of the following situations?

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