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Started by Sean Philip Engelson
Fri, 31 Jul 1992 13:58
Correlation test (sort of)?
Author: Sean Philip Engelson
Date: Fri, 31 Jul 1992 13:58
Date: Fri, 31 Jul 1992 13:58
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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)?
Author: Brian Schott
Date: Mon, 03 Aug 1992 04:26
Date: Mon, 03 Aug 1992 04:26
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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)?
Author: Brian Schott
Date: Mon, 03 Aug 1992 20:01
Date: Mon, 03 Aug 1992 20:01
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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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