On Wed, 26 Mar 2003 13:18:17 +0100, "david" <[EMAIL PROTECTED]> wrote:

> Hello
> I would like to know a measure for testing the binormality of a data set.
> thanks in advanced

I don't use the term, binormal.  
And Google turns up something concerning topology,
which is not a usual topic in these groups.

Are you referring to bivariate normality?

If so -- the straight, simple approach, to start, is 
to test the variables separately, and combine tests,
preserving power or alpha, depending on which matters
to you.

Bivariate normality implies that the linear combinations
of the two should also be normal.  The obvious 
combinations are the principal components:  form
them and test them; and combine tests.

There are various tests for 'normality.'  
How the data are generated could suggest the fashion
in which non-normality is apt to arise.  If the variables
are two versions of the same measurement, there 
might be special salience to simple difference score.

If you have a particular need -- symmetry, continuity
(lack of ties), absence of outliers, presence of 
exponential tails, infinite theoretical range --
you should select or design a test to meet that need.  

If you have a particular reason to suspect deviations
that you can characterize -- and they matter -- you 
should test for those deviations.  

 - "goodness of fit" depends on what aspects you 
want to fit, so there is never a single test for something
like  "normality."

Hope this helps.
-- 
Rich Ulrich, [EMAIL PROTECTED]
http://www.pitt.edu/~wpilib/index.html
.
.
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