Exam 17: Nonparametric Statistics

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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 = 0.01, the critical value of chi-square is ___. When using the Friedman test to test the following data to determine whether there is a significant difference between treatment levels with α = 0.01, the critical value of chi-square is ___.

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

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Performance records for 18 salespersons are selected to investigate whether compensation methods are a significant motivational factor.  Performance records for 18 salespersons are selected to investigate whether compensation methods are a significant motivational factor.   A Kruskal-Wallis test is to be performed with  \alpha = 0.01.The null hypothesis is ___. A Kruskal-Wallis test is to be performed with α\alpha = 0.01.The null hypothesis 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, the ranks for block 2 are ___. When using the Friedman test to test the following data to determine whether there is a significant difference between treatment levels, the ranks for block 2 are ___.

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Performance records for 18 salespersons are selected to investigate whether compensation methods are a significant motivational factor.  Performance records for 18 salespersons are selected to investigate whether compensation methods are a significant motivational factor.   A Kruskal-Wallis test is to be performed with  \alpha = 0.01.The critical chi-square value is ___. A Kruskal-Wallis test is to be performed with α\alpha = 0.01.The critical chi-square value is ___.

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Which of the following tests should be used to compare the means of three populations if the sample data is ordinal?

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A Kruskal-Wallis test is to be performed.There will be four categories, and alpha is chosen to be 0.10.The critical chi-square value is ___.

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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 critical 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 critical value of χ<sup>2</sup>?

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The one-sample runs test is a ___.

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The nonparametric counterpart of the t test to compare the means of two related samples is the Mann-Whitney U test.

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Performance records for 18 salespersons are selected to investigate whether compensation methods are a significant motivational factor.  Performance records for 18 salespersons are selected to investigate whether compensation methods are a significant motivational factor.   A Kruskal-Wallis test is to be performed with  \alpha  = 0.01.The calculated K value is ___. A Kruskal-Wallis test is to be performed with α\alpha = 0.01.The calculated K value is ___.

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

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The Kruskal-Wallis test is to be used to determine whether there is a significant difference (alpha = 0.05)between the three groups using the following data: The Kruskal-Wallis test is to be used to determine whether there is a significant difference (alpha = 0.05)between the three groups using the following data:   For this situation, the critical (table)chi-square value is ___. For this situation, the critical (table)chi-square value is ___.

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The Kruskal-Wallis test is to be used to determine whether there is a significant difference (alpha = 0.05)between the three groups using the following data: The Kruskal-Wallis test is to be used to determine whether there is a significant difference (alpha = 0.05)between the three groups using the following data:   For this test, how many degrees of freedom should be used? For this test, how many degrees of freedom should be used?

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In a Friedman test with 8 treatment levels and 5 blocks, df = ___.

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In a Friedman test with 7 treatment levels and 5 blocks, df = ___.

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Statistical techniques based on assumptions about the population from which the sample data are selected are called parametric statistics.

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Charles Kline monitors the daily performance of his investment portfolio by recording a "+" or a "-"sign to indicate whether the portfolio's value increased or decreased from the previous day.His record for the last eighteen business days is "- + + - - - + - - + + + + + + + + -".The number of runs in this sample is ___.

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In a Friedman test with 6 treatment levels and 7 blocks, the df = ___.

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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.For the test of the null hypothesis that the treatment populations are equal at a 1% level of significance, the critical value of the test statistic is ___.

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