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FW: st: RE: Dependent var is a proportion, with large spike in .95+


From   "Nick Cox" <[email protected]>
To   <[email protected]>
Subject   FW: st: RE: Dependent var is a proportion, with large spike in .95+
Date   Thu, 4 Sep 2008 17:50:02 +0100

A formal statement can be found within 

http://www.stata-journal.com/sjpdf.html?articlenum=gr0010

together with explicit code for exploring the question graphically.
Whatever the parameters, the result of a logit transform of a beta
distribution is a logistic distribution, which is bell-shaped. 

Of course, real datasets might not be so well behaved, as I presume all
agree. 

Nick Cox 

Jverkuilen 

#A good approximation is if that you take #logits of a beta-distributed
#variable, the distribution looks bell-
#shaped. That's true even for
#highly skewed betas with modes near 0 #or near 1. 

Yes, so long as the distribution is not J- or L-shaped, which can happen
with the beta. It can handle those shapes and endpoint bimodality too.


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