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# Nonparametric and Distribution-Free Statistics (2).docx

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School
McMaster University
Department
Statistics
Course
STATS 2B03
Professor
Aaron Childs
Semester
Fall

Description
th November 28 , 2012 Stats 2B03: Statistical Methods for Science Nonparametric and Distribution-Free Statistics (2) 13.6 Mann-Whitney Test - nonparametric alternative to the two-sample z- or t-test for independent samples - we are going to take independent random samples from the populations and we want to test one of  H : M >M A 1 2  H A M 1M 2  H A M 1M 2  Where M stands for the median - procedure  step 1: combine the two samples and rank each observation from smallest to largest. Keep track of which sample each observation comes from  step 2: calculate s = sum of ranks for sample 1  step 3: calculate , where n is the sample size for sample 1  step 4:  case I: reject 0 if T>w1-αwhere w 1-α nm - w α o m: sample size for pop2 o n: sample size for pop1 o w :αfro
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