Exam 18: Nonparametric Methods: Analysis of Ranked Data

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Two movie reviewers gave their ratings (0 to 4 stars) to seven movies released this past month as follows: Two movie reviewers gave their ratings (0 to 4 stars) to seven movies released this past month as follows:   The Wilcoxon signed-rank test of difference is to be used. What is the critical value at the 5% level of significance? The Wilcoxon signed-rank test of difference is to be used. What is the critical value at the 5% level of significance?

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A one-tailed sign test is used to test for differences between two populations at the 0.10 level of significance. There were 9 pluses and 5 minuses. What is the decision regarding the null hypothesis?

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What is the difference between chi-square nonparametric tests and nonparametric tests based on ranks?

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For small samples, the test statistic for the sign test is the z-statistic.

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A soap manufacturer is experimenting with several formulas of soap powder. Three of the formulas were selected for further testing by a panel of homemakers. The ratings for the three formulas are as follows: A soap manufacturer is experimenting with several formulas of soap powder. Three of the formulas were selected for further testing by a panel of homemakers. The ratings for the three formulas are as follows:   What is the value of H? _______ What is the value of H? _______

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The Kruskal-Wallis one-way analysis of variance by ranks is especially appropriate to test whether three or more population means are equal if the data is measured with an ordinal scale and/or the populations are not normal.

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For nonparametric test based on ranking the data, if a majority of the ranks are based on ties, what is the likely outcome of a hypothesis test? Why?

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The Wilcoxon rank-sum test computes a z test statistic.

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A soap manufacturer is experimenting with several formulas of soap powder. Three of the formulas were selected for further testing by a panel of homemakers. The ratings for the three formulas are as follows: A soap manufacturer is experimenting with several formulas of soap powder. Three of the formulas were selected for further testing by a panel of homemakers. The ratings for the three formulas are as follows:   What is the sum of the ranks for Formula B? _______ What is the sum of the ranks for Formula B? _______

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A hypothesis test that rho is zero is conducted at the 5% level of significance. If Spearman's (rho) is 0.75 for a sample of 15 observations, what is the computed value of the t statistic?

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In testing the significance of Spearman's rank-order coefficient, what is the null hypothesis? _______________

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The following are the ratings (0 to 4) given by 12 individuals for two possible new flavors of soft drinks. The following are the ratings (0 to 4) given by 12 individuals for two possible new flavors of soft drinks.   Wilcoxon rank-sum is to be used. What is the z-test statistic? Wilcoxon rank-sum is to be used. What is the z-test statistic?

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The Sign test requires the populations to be _____________.

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The Wilcoxon Rank-Sum method tests for equality between two _____________ populations.

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A soap manufacturer is experimenting with several formulas of soap powder. Three of the formulas were selected for further testing by a panel of homemakers. The ratings for the three formulas are as follows: A soap manufacturer is experimenting with several formulas of soap powder. Three of the formulas were selected for further testing by a panel of homemakers. The ratings for the three formulas are as follows:   What is the sum of the ranks for Formula C? _______ What is the sum of the ranks for Formula C? _______

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The sign test is one of a few tests that can test the value of the __________.

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The _____________ of the differences between "before and after" measurements is evaluated in a Wilcoxon Signed-Rank test.

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One difference between the Kruskal-Wallis method and one-way ANOVA is that the Kruskal-Wallace tests do not require the population ___________ to be the same.

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In a market research study involving eleven people, seven preferred Product X, three preferred Product Y and one expressed no preference. A sign test is selected using the 0.05 level of significance. What is the null hypothesis?

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In the Kruskal-Wallis test for the following data, what are the degrees of freedom? In the Kruskal-Wallis test for the following data, what are the degrees of freedom?

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