Exam 17: Nonparametric Statistics for Ordinal Data

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Nonparametric tests are appropriate to use for distributions that

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Nine individuals who experience social anxiety rate their level of discomfort in various social situations on a scale from 0 to 20 with 20 representing the highest level of discomfort. They then participate in an interpersonal group therapy program for three months after which they again rate their level of discomfort. Before and after therapy ratings are shown below. Use the Wilcoxon matched-pairs signed-ranks T test to determine if the ratings after therapy were significantly different from those before therapy. Use α = .05, two-tailed. Before: 17, 18, 14, 16, 15, 17, 12, 13, 18 After: 8, 12, 12, 16, 8, 13, 13, 6, 10

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Calculate the Spearman Correlation coefficient for the following ranked scores: 1 4 2 3 3 1 4 2 5 7 6 5 7 6

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Which of the following tests would be appropriate to measure participants' attitude before a treatment intervention and then again after the intervention?

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The Spearman test is the non-parametric alternative to the

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What is the difference between a parametric test and a nonparametric test?

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In ranking the scores 6, 7, 8, 8, 9, 10, 10, 10, 11, and 12, the score of 10 is given a rank of

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If the size of one or both samples is greater than _________, the sampling distribution for the Mann-Whitney U test resembles the normal distribution.

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Calculate the Kruskal-Wallis H value for the following ranked scores: 1 4 3 2 7 5 6 10 8 9 11 13 12 14 16 15 18 17

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If the assumptions of normality, homogeneity of variance, and interval or ratio level data can be met, a _______________ statistic should be used.

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________ is the symbol used for the Mann-Whitney test.

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Based on the critical and obtained values of the various tests below, determine if the null hypothesis can be rejected: Test Obt Value Crit Value a. Mann-Whitney test 6 8 b. Wilcoxon matched-pairs signed-ranks test 15 13 c. Kruskal-Wallis test 12.23 9.488 d. Spearman correlation .6988 .7273

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Nonparametric tests are also called ____________________.

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The ___________________ test calls for rejecting the null hypothesis if the obtained test value is ________________ than the critical value.

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________ is the symbol used for the Wilcoxon matched-pairs signed ranks test.

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If a researcher was interested in comparing the distributions of scores for fathers and sons, which test would be appropriate?

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A large bicycle store is testing two newly designed bicycle seats. One sample of cyclists rates the comfort level of model A. Another sample rates the comfort level of model B. The seats are rated on a scale from 1 to 10 with 10 representing the highest level of comfort. The cyclists' ratings are shown below. Do the ratings suggest that one model is more comfortable than the other? Conduct a Mann-Whitney U test at α = .05, two-tailed. Model A: 6, 3, 7, 5, 4, 3 Model B: 8, 6, 9, 7, 8, 7

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

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For the Mann-Whitney test,

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Identify three situations for which a nonparametric test would be appropriate.

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