STATS 2B03 Lecture : Nonparametric and Distribution-Free Statistics (2).docx
20 Jun 2013
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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. 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. , where n is the sample size for sample. Case i: reject h0 if t>w1- where w1- = nm - w : m: sample size for pop2, n: sample size for pop1, w : from the table. Case ii: reject h0 if if tw1- /2. Example: 7 2nd year students and 5 3rd year students write the exam early.
