010+Correlation

Assumptions 1 both populations are approximately

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Unformatted text preview: 0 11 2106 12 2049 12 0 12 981 4 933 5 -1 Calculate the test statistic rs using shortcut formula: 12 d2 = 2, rs = 1 − i i=1 6·2 = 0.993. 12 · (122 − 1) Thus, rs = 0.993 > 0.497 = rsα , and we reject H0 = {ρ = 0}. Two samples are correlated and one may not use two-samples t-statistic to test 10 A. Zhensykbaev Correlation H0 = {µ1 − µ2 = 0} if samples are normally distributed. We apply another test. Paired dierence experiment for two population means. Assumptions: 1. Both populations are approximately normally distributed; 2. Samples are randomly selected; (we do not require that the samples are independent and the population variances are equal). Large-sample Paired dierence condence interval. sd σd ¯ ¯ d ± zα/2 √ ≈ d ± zα/2 √ , nd nd where ¯¯ d = x1 − x2 , ¯ sd - sample standard deviation of dierences, nd - number of dierences (number of pairs). Paired dierence test of hypothesis for µd = µ1 − µ2 . The null hypothesis is H0 = {(µd = µ1 − µ2 = D0 }, Alternative hypothes...
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This note was uploaded on 02/11/2014 for the course MATH 1390 taught by Professor Christopherstocker during the Spring '13 term at Marquette.

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