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Unformatted text preview: Lecture & Examples Topic 3: The Wilcoxon Signed Rank Test Introduction: The test presented in this lecture is known as the Wilcoxon Signed Rank Test. This test, presented by Wilcoxon (1945), is designed to test whether a particular sample came from a population with a specific median. It can also be used in paired difference experiments. For example, we are interested in comparing the twins with each other to see if the first born twin tends to be more aggressive than the other. The Wilcoxon Signed Rank Test: Data: The data consists of n * observations on the respective bivariate random variables. Let D i  = X i Y i  be the absolute differences for i = 1, 2, . . . , n *. Let n be the number of none zero differences. Assign ranks to these n absolute differences according to the relative size of the absolute differences. 1 Assumptions: (1) The sample of differences, D i , is randomly selected from the population of differences. (2) The D i 's are mutually independent. (3) The probability distribution for the sampled paired differences is continuous....
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 Spring '08
 Staff
 Null hypothesis, Hypothesis testing, Statistical hypothesis testing, Statistical power, Wilcoxon Signed Rank

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