Exam 16: Nonparametric Methods: Analysis of Ordinal Data

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The test statistic for the null hypothesis that the correlation among the ranks is equal to zero is a chi-square statistic.

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Twenty-five college seniors were given two brands of organic hamburgers to sample: Burger A and BurgerB. A statistician wants to determine if one of the burgers is preferred over the other. The null hypothesis for this scenario is:B. Four students preferred Burger A and 21 preferred Burger

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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 Spearman coefficient of rank correlation computes the correlations for ____________ scaled data.

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Fifty-five voters from a sample of 80 indicated that they favored casino gambling in their city. The city council is interested in finding out whether or not there is a significant difference between the proportions of those favoring and not favoring casino gambling in their community. The decision regarding the null hypothesis is ______________.

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Twenty economists were sampled and asked to predict if the national economy would improve during the next 12 months. Eleven of the economists predicted an increase, two economists predicted no change, and seven economists predicted a decrease in the economy. Conduct a hypothesis test at the 0.10 significance level to determine if the majority of economists predict an increase. Based on the analysis, we would conclude that:

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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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The Wilcoxon signed-rank test requires the populations to be _____________.

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Two movie reviewers gave their ratings (0 to 4 stars) to ten movies released this past month as follows: Two movie reviewers gave their ratings (0 to 4 stars) to ten movies released this past month as follows:   The rank order correlation is to be used. What is the computed value of t? The rank order correlation is to be used. What is the computed value of t?

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The Spearman coefficient of rank correlation method ____________ the observations in each sample.

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A _________ sign test should be applied, if H0: π ≤ 0.50, H1: π > 0.50 and the level of significance is 0.05.

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When are nonparametric methods best applied?

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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 your decision at the 5% level of significance? The Wilcoxon signed-rank test of difference is to be used. What is your decision at the 5% level of significance?

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The distribution of the sample statistic (H) for the Kruskal-Wallis test is approximately equal to the:

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Nonparametric tests require data that can be __________.

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To determine whether four population means are equal, a sample from each population was selected at random. Using the Kruskal-Wallis test, H was computed to be 2.09. What is our decision at the 0.05 level of risk?

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What is the first step in applying the sign test?

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A hypothesis test that rho is zero is conducted at the 5% level of significance. If Spearman's (rho) is 0.86 for a sample of 15 observations, what is the computed value of the t statistic?

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If a sign test is applied, what is the null hypothesis for a two-tailed test?

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

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