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st: RE: Can Spearman's rho be used to measure of the degree of association between two binary variables ?


From   "Visintainer, Paul" <Paul.Visintainer@baystatehealth.org>
To   "'statalist@hsphsun2.harvard.edu'" <statalist@hsphsun2.harvard.edu>
Subject   st: RE: Can Spearman's rho be used to measure of the degree of association between two binary variables ?
Date   Mon, 21 May 2012 12:23:00 -0400

Yes, in fact many of the contingency coefficients will give equivalent results for 2x2 tables:

.sysuse auto
.gen pricecat=cond(price>=5000,1,0)
.tab foreign pricecat, all
.corr foreign pricecat
.spearman foreign pricecat


Cramer's V, Spearman rho, and Pearson's correlation all give the same value.  Another is called the "phi" coefficient, which can be computed as the sqrt(chisquare/N)

.di sqrt(2.3287/74)

-Paul

_________________________________________________
Paul F. Visintainer, PhD
Baystate Medical Center
Springfield, MA 01199


-----Original Message-----
From: owner-statalist@hsphsun2.harvard.edu [mailto:owner-statalist@hsphsun2.harvard.edu] On Behalf Of Marcos Vinicius
Sent: Sunday, May 20, 2012 4:32 PM
To: statalist@hsphsun2.harvard.edu
Subject: st: Can Spearman's rho be used to measure of the degree of association between two binary variables ?

Hello,
Can Spearman's rho be used to measure of the degree of association between two binary variables ?
I was wondering if Spearman's rho could be adequate  because I have used the phi coefficient to quantify association among several  binary variables and the results are identifical compared with Spearman's rho coefficient . 
Best regards,
Marcos Vinicius

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