{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

010+Correlation

# Assumptions 1 both populations are approximately

This preview shows page 1. Sign up to view the full content.

This is the end of the preview. Sign up to access the rest of the document.

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 dierence 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 dierence condence interval. sd σd ¯ ¯ d ± zα/2 √ ≈ d ± zα/2 √ , nd nd where ¯¯ d = x1 − x2 , ¯ sd - sample standard deviation of dierences, nd - number of dierences (number of pairs). Paired dierence test of hypothesis for µd = µ1 − µ2 . The null hypothesis is H0 = {(µd = µ1 − µ2 = D0 }, Alternative hypothes...
View Full Document

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern