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Topic: Validity of correlation coefficient for binary data
Replies: 1   Last Post: Oct 24, 1996 11:31 AM

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Joe H Ward

Posts: 743
Registered: 12/6/04
Re: Validity of correlation coefficient for binary data
Posted: Oct 24, 1996 11:31 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

Hi Ronan, Drake, and others who may be interested in STATISTICAL HISTORY
or those who have to take a STATISTICAL HISTORY TEST!

Below is a summary of some of the names given to a few indicators of
relationships.

-- Joe
***********************************************************************
* Joe Ward 167 East Arrowhead Dr. *
* Health Careers High School San Antonio, TX 78228-2402 *
* Phone: 210-433-6575 *
* joeward@tenet.edu *
***********************************************************************

SUMMARY OF SOME "INDICATORS OF RELATIONSHIP"
FROM CHAPTER 9 OF
GLASS AND STANLEY -"STATISTICAL METHODS IN EDUCATION AND PSYCHOLOGY"
(PRENTICE-HALL, 1970)

| MEASUREMENT OF VARIABLE X
__________________|___________________________________________________________
| | |
MEASUREMENT OF | | Dichotomous, with | Interval
VARIABLE Y | Dichotomous | underlying normal | or Ratio
__________________|________________|______________________|___________________
| | |
Dichotomous | phi | |
__________________|________________|______________________|___________________
| | |
Dichotomous, with | | tetrachoric |
underlying normal | | r(tet) |
__________________|________________|______________________|___________________
| | |
Interval or | point- | biserial | Pearson
Ratio | biserial | | product-moment
| r(pb) | r(bis) | r(xy)
__________________|________________|______________________|___________________


On Thu, 24 Oct 1996, Ronan M Conroy wrote:

> Date: Thu, 24 Oct 1996 05:01:57 -0400
> From: Ronan M Conroy <rconroy@rcsi.ie>
> To: Multiple recipients of list <edstat-l@jse.stat.ncsu.edu>
> Subject: Re: Validity of correlation coefficient for binary data
>
> At 3:07 pm 23/10/96, Drake R. Bradley wrote:

> >Actually, I think the correlation between two binary variables would be
> >a phi coefficient. The correlation between a binary (dichotomous) variable
> >and a "true" quantitative variavle (non-binary) is a point biserial
> >correlation. The formulae for r-phi and r-pb are just simplifications of
> >the standard Pearson product-moment r.
> >
> > The phi coefficient is tested using the chi-square test (2x2),[snip]

>
> in fact, phi squared is chi squared divided by N. Although I have known
> about phi since my youth, I have never once fired it in anger, or even
> pointed it at anyone in fun. Does anyone out there use it?
>
> _/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/
>
> _/_/_/ _/_/ _/_/_/ _/ Ronan M Conroy
> _/ _/ _/ _/ _/ _/ Lecturer in Biostatistics
> _/_/_/ _/ _/_/_/ _/ Royal College of Surgeons
> _/ _/ _/ _/ _/ Dublin 2, Ireland
> _/ _/ _/_/ _/_/_/ _/ +353 1 402 2431 fax 402 2329
>
> _/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/_/
> Why does no-one whistle anymore?
>
>
>







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