Exam 17: Nonparametric Statistics

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The Wilcoxon test was used on 18 pairs of data.The total of the ranks (T)were computed to be 111 (for + ranks)and 60 (for - ranks).The z value for this test is ____.

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A quality control supervisor wishes to determine whether the following measurements are random: 68.2 65 66.5 65 67.5 68 66 64.5 65.3 64.2 67.6 66.5 66.8 68.9 67 65 65 67 68 71 68.5 63.6 64.7 71.5 70.7 66 68.5 70.5 69.5 70.1 For this purpose, the supervisor uses a previous median of 67.9 and compares each measurement to that median to perform a runs test.She uses a significance level of 0.05.This is a ______ test.

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Prior to computing a Friedman test, the data are ranked within each block from smallest to largest.

(True/False)
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Two stock analysts rank five investment portfolios for overall performance and risk. Portfolio ABCDE Broker 1 - Rankings 4 5 2 1 3 Broker 2 - Rankings 1 4 3 2 5 Using these rankings, the Spearman rank correlation coefficient is ___________.

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A researcher wants to study the effects of physical exercise on depression.She randomly selects a group of 24 individuals who are equally depressed.None of these individuals currently exercises.She then randomly assigns them in one of three groups: group 1 stays without exercising (sedentary group), group 2 exercises once a week, and group 3 exercises two times a week.Individuals in groups 2 and 3 meet with a personal trainer so they carry out a very similar exercising program, both in kinds of exercises and in intensity.After two months, the researcher has all individuals take a depression-assessment test.The score of the test goes from 0 = totally miserable to 100 = complete satisfaction. The scores are shown in the following table: Group 1 Group 2 Group 3 25 24 35 15 16 22 20 19 31 17 24 32 23 25 31 21 25 29 19 21 33 18 18 35 The researcher uses a Kruskal-Wallis test and a significance level α\alpha = 0.05.The observed K statistic is ______.

(Multiple Choice)
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The methods of parametric statistics can be applied to nominal or ordinal data.

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The appropriate test for comparing the medians of two populations using ordinal-level data from two related samples is the Wilcoxon test.

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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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Statistical techniques based on fewer assumptions about the population and the parameters are called _______.

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The alternative hypothesis for the Friedman test is that at least one treatment is different from at least one other treatment.

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