Exam 13: Nonparametric Statistics

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Nonparametric methods use less information than their parametric counterparts.

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If a researcher were interested in determining whether or not two groups If a researcher were interested in determining whether or not two groups   of students received significantly different grades in statistics, the Wilcoxon rank sum test would be the best method to use. of students received significantly different grades in statistics, the Wilcoxon rank sum test would be the best method to use.

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The Wilcoxon rank sum test is used to test dependent samples, and the Wilcoxon signed-rank test is used for independent samples.

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A researcher is interested in investigating three independent, non-normally distributed variables.Which of the following should be used for this application?

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If two judges were asked to rank 10 science fair projects, the Spearman rank correlation coefficient would be 0.70 given that the sum of squares is equal to 50.

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A landscaping company hypothesizes that they can mow a median number of 20 lawns in one weekend. A random sample of 14 weekends yields the following data: A landscaping company hypothesizes that they can mow a median number of 20 lawns in one weekend. A random sample of 14 weekends yields the following data:    -What is the test value? -What is the test value?

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The test for randomness considers the frequency of the letters rather than the number of runs.

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A run is a succession of identical letters preceded or followed by a different letter or no letter at all, such as the beginning or end of the succession.

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An instructor divided her class into four groups and asked them to keep track of the number of soft drinks they consume per week.In preparation for using the Kruskal-Wallis test to test if there is a significant difference in mean weekly consumption among the 4 groups, combine and rank the following data. An instructor divided her class into four groups and asked them to keep track of the number of soft drinks they consume per week.In preparation for using the Kruskal-Wallis test to test if there is a significant difference in mean weekly consumption among the 4 groups, combine and rank the following data.

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Two genetics classes took the same exam and their scores are as shown in the table below.What is the rank of the score for Gregor? Two genetics classes took the same exam and their scores are as shown in the table below.What is the rank of the score for Gregor?

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Men and women were randomly selected to rank eight television programs on a scale of 1 to 50, with 50 being the highest score.Use the Spearman rank correlation coefficient at Men and women were randomly selected to rank eight television programs on a scale of 1 to 50, with 50 being the highest score.Use the Spearman rank correlation coefficient at   to determine if there is a difference in the rankings between men and women.  to determine if there is a difference in the rankings between men and women. Men and women were randomly selected to rank eight television programs on a scale of 1 to 50, with 50 being the highest score.Use the Spearman rank correlation coefficient at   to determine if there is a difference in the rankings between men and women.

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The computations for the rank correlation coefficient for nonparametric data are simpler than those for the ___________ coefficient and involve ranking each set of data. ________________________________________

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Nonparametric methods are more sensitive than their parametric counterparts when the assumptions of the parametric methods are met.

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The data collected for studying whether or not there is a difference between the number of hours men and women watch television is summarized below.To compute the test value, the data from both samples Should be combined, arranged in order, and ranked according to each group.What is the sum of the ranks For each group? The data collected for studying whether or not there is a difference between the number of hours men and women watch television is summarized below.To compute the test value, the data from both samples Should be combined, arranged in order, and ranked according to each group.What is the sum of the ranks For each group?

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A study of the effects of a chemical additive on soil acidity recorded the acidity of eight plots of land before and after the application of the additive.The results Were: A study of the effects of a chemical additive on soil acidity recorded the acidity of eight plots of land before and after the application of the additive.The results Were:   The test value for the signed-rank test is: The test value for the signed-rank test is:

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Given the following data, what is the ranking of data point 1? 4, 4, -6, 7, 11, 6, -11, 1

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Calculate the rank totals for each of the four groups described in problem 53 and complete the Kruskal- Wallis to test the null hypothesis that there is no difference in mean weekly soft drink consumption among the 4 corresponding treatment conditions for Calculate the rank totals for each of the four groups described in problem 53 and complete the Kruskal- Wallis to test the null hypothesis that there is no difference in mean weekly soft drink consumption among the 4 corresponding treatment conditions for   . .

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Test the following sequence for randomness. Test the following sequence for randomness.   You may use the following abbreviated table of critical values for runs (at = .05).Reject the null hypothesis if the number of runs is less than or equal to the smaller value or greater than or equal to the Larger value.  You may use the following abbreviated table of critical values for runs (at = .05).Reject the null hypothesis if the number of runs is less than or equal to the smaller value or greater than or equal to the Larger value. Test the following sequence for randomness.   You may use the following abbreviated table of critical values for runs (at = .05).Reject the null hypothesis if the number of runs is less than or equal to the smaller value or greater than or equal to the Larger value.

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The _______________ is used to test the value of a median for a specific sample. ________________________________________

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A study of the effects of a chemical additive on soil acidity recorded the soil acidity of eight plots of land before and after the application of the additive.The results Were: A study of the effects of a chemical additive on soil acidity recorded the soil acidity of eight plots of land before and after the application of the additive.The results Were:   The test value for the sign test is: The test value for the sign test is:

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