Exam 19: Nonparametric Statistics

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In testing H0: ρ\rho s = 0 vs.H1: ρ\rho s ≠\neq 0 when the sample size n > 30,the test statistic is approximately normally distributed with mean 0 and standard deviation equal to:

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The Wilcoxon signed rank sum test statistic is approximately normally distributed whenever the sample sizes are larger than:

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A financier whose specialty is investing in movie productions has observed that,in general,movies with "big-name" stars seem to generate more revenue than those movies whose stars are less well known.To examine his belief he records the gross revenue and the payment (in $ millions)given to the two highest-paid stars in the movie for ten recently released movies. Movie Cost of Twa Highest Gross ravanue Paid Stars 1 5.3 48 2 7.2 65 3 1.3 18 4 1.8 20 5 3.5 31 6 2.6 26 7 8.0 73 8 2.4 23 9 4.5 39 10 6.7 58 Assume that the conditions for the conducting tests of hypotheses for ρ\rho and ρ\rho 1 (the two tests are identical)are not met.Do the data allow us to infer at the 5% significance level that payment to the two highest paid stars and gross revenue are linearly related?

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Statistical methods that require,among other assumptions,that the populations be normally distributed are known as:

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A parametric test is a hypothesis test that depends on certain specific assumptions about the probability distribution of population values or the sizes of population parameters.

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The Spearman correlation coefficient is calculated using the ranks of the data,rather than the values of the data themselves.

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The test statistic Fr for the Friedman test has an approximate ____________________ distribution.

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The Friedman test is employed to compare two or more populations when the data are generated from a randomized block experiment,and are either ordinal or interval,but not normally distributed.

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A nonparametric method that is equivalent to the Wilcoxon rank sum test is the:

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Nonparametric tests are methods of inference that make no assumptions whatsoever about the nature of underlying population distributions or their parameters.

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Nonparametric procedures are often called ____________________-free statistics.

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The Kruskal-Wallis test can be used to test for a difference between two populations.It will produce the same outcome as the two-tail Wilcoxon rank sum test.

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The Friedman test is the nonparametric counterpart of the randomized block experimental design of the analysis of variance.

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A nonparametric method to compare two populations,when the samples are matched pairs and the data are interval,and where the normality requirement necessary to perform the parametric test is unsatisfied,is the:

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You can only conduct two-tail tests of the Spearman rank correlation coefficient.

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Which of the following tests employs matched-pairs sampling?

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The Wilcoxon signed rank sum test for matched pairs is the nonparametric counterpart of the paired two-sample t-test of μ\mu D.

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For the sign test,n equals the number of differences in the sample that are ____________________.

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When n > 30,rs has an approximate normal distribution even though the data does not.

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The nonparametric counterpart of the parametric one-way analysis of variance F-test is the:

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