Exam 17: Nonparametric Statistics

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The nonparametric alternative to the one-way analysis of variance is the ___.

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B

A randomized block design has 7 blocking levels and 5 treatment levels.Given the level of data, a nonparametric alternative to a randomized block design must be used to analyze the data.The number of degrees of freedom for the appropriate test statistic in this test of the null hypothesis that the treatment populations are equal is ___.

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Nonparametric statistics are sometimes called ___.

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D

Which of the following is not an assumption of the Friedman test?

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A disadvantage of nonparametric statistics is that the probability statements obtained from most nonparametric tests are not exact probabilities.

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Four types of bicycle tires are ridden in six different cities to see if the tires lasted about the same number of miles.If there are differences, then that tire could promote its durability to potential customers.Using the data in the table below and an alpha of 0.05, what is the observed value of χ2? Four types of bicycle tires are ridden in six different cities to see if the tires lasted about the same number of miles.If there are differences, then that tire could promote its durability to potential customers.Using the data in the table below and an alpha of 0.05, what is the observed value of χ<sup>2</sup>?

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Correlation coefficient cannot be used to analyze the association between two variables when only ordinal-level data are available.

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The sampling distribution of R, the number of runs, in the one-sample runs test for randomness of the observations in a large sample is approximately normal.

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Correlation coefficients may be computed for parametric and nonparametric data.If the data are nonparametric, which of the following should be used?

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The nonparametric alternative to analysis of variance for a randomized block design is the ___.

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Which of the following tests should be used to compare the means of two populations if the samples are independent?

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Two stock analysts rank five investment portfolios for overall performance and risk. Two stock analysts rank five investment portfolios for overall performance and risk.   The Spearman rank correlation coefficient is ___. The Spearman rank correlation coefficient is ___.

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When using the Friedman test to test the following data to determine whether there is a significant difference between treatment levels with α =0.05, the appropriate conclusion is ___. When using the Friedman test to test the following data to determine whether there is a significant difference between treatment levels with α =0.05, the appropriate conclusion is ___.

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The Wilcoxon test was used on 16 pairs of data.The total of the ranks (T)were computed to be 76 (for + ranks)and 60 (for - ranks).The z value for this test is ___.

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The null hypothesis for a one-sample runs test is ___.

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In a Mann-Whitney U test, the U statistic was calculated to be 58.0 based on sample sizes of 22 and 28.What is the z value for this test?

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The Spearman correlation coefficient is calculated for a set of data on two variables, x and y.It appears that as the rank of x increases, the rank of y is decreasing.We would expect the Spearman correlation coefficient to be ___.

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To compare the means of two populations which cannot be assumed to be normally distributed and only ordinal-level data is available from two independent samples, instead of the t test for independent samples we should use the Mann-Whitney U test.

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The methods of parametric statistics can be applied to nominal or ordinal data.

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The methods of parametric statistics require ___.

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