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3 total messages Started by Sean Philip Engelson Fri, 31 Jul 1992 13:58
Correlation test (sort of)?
#164
Author: Sean Philip Engelson
Date: Fri, 31 Jul 1992 13:58
28 lines
1934 bytes
Please forgive my statistically untutored way of speaking, but I have what I
think should be a relatively simple hypothesis testing problem, which I (not
being a statistician) don't quite know how to approach.

There is a process (unmodelable) which I can measure in two different ways,
giving me values, call them X and Y, for different states of the underlying
process.  I would like to make statements of the form: 

  When X is high, Y is (usually) low.  ("high" and "low" can be interchanged)
	(note the asymmetry, if X is low, we don't care about Y)

I need a statistical testing method that gives me a measure of my confidence in
such a statement.  If necessary, I can put in threshholds defining "high" and
"low", but I'd prefer not to (or to get them out of the method).  I have a
reasonable number of data points (about 300).  Doing a regression analysis
seems inappropriate, since (a) different values of X can be fundamentally (ie,
ignoring noise) associated with the same value of Y and v.v.  (since the
underlying process state in multidimensional) and (b) the choice of regression
model is not clear (since I have no real model for the process).  Any and all
suggestions would be most helpful, especially references.

Thanks very much.
-- 
Sean Philip (Shlomo) Engelson		Im eshkachekh Yerushalayim, 
Yale Department of Computer Science		Tishkach yemini;  
Box 2158 Yale Station			Tidbak leshoni l.chiki
New Haven, CT 06520				Im lo ezkerekhi...
Re: Correlation test (sort of)?
#117
Author: Brian Schott
Date: Mon, 03 Aug 1992 04:26
19 lines
1300 bytes
engelson-sean@CS.YALE.EDU (Sean Philip Engelson) writes:

>  When X is high, Y is (usually) low.  ("high" and "low" can be interchanged)
>	(note the asymmetry, if X is low, we don't care about Y)

>I need a statistical testing method that gives me a measure of my confidence in
>such a statement.  If necessary, I can put in threshholds defining "high" and

This can be modeled using fuzzy set's operators.  Michael Smithson has
a book (sorry I don't have the citation, here) circa 1987 which sws 
how to do this sort of thing, I believe.  It is basically a fuzzy sets
extension to traditional simple linear regression.


-- 
Brian Schott/Decision Sciences Dept.             qmdbms@gsusgi2.gsu.edu
College of Business Administration                         404-651-4070
Georgia State University                  interests: approx. reasoning,
Atlanta, Georgia USA 30303-3083     (B=)       decision support systems
Re: Correlation test (sort of)?
#126
Author: Brian Schott
Date: Mon, 03 Aug 1992 20:01
8 lines
818 bytes
The Smithson text is "Fuzzy Set Analysis for Behavioral & Social Sciences"
Springer-Verlag (1987).  I recommend it.

-- 
Brian Schott/Decision Sciences Dept.             qmdbms@gsusgi2.gsu.edu
College of Business Administration                         404-651-4070
Georgia State University                  interests: approx. reasoning,
Atlanta, Georgia USA 30303-3083     (B=)       decision support systems
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