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RE: st: xtlogit with a fractional response


From   "Nick Cox" <n.j.cox@durham.ac.uk>
To   <statalist@hsphsun2.harvard.edu>
Subject   RE: st: xtlogit with a fractional response
Date   Wed, 27 Feb 2008 13:59:11 -0000

The references include 

Banks, R.B. 1994. Growth and Diffusion Phenomena: Mathematical
Frameworks and Applications. Berlin: Springer. 

Cramer, J.S. 2004. The early origins of the logit model. Studies in
History and Philosophy of Biological and Biomedical Sciences 35:
613--626. 

Kingsland, S.E. 1995. Modeling Nature: Episodes in the History of
Population Ecology. Chicago: University of Chicago Press. 

Wilson, E.B. 1925. The logistic or autocatalytic grid. Proceedings,
National Academy of Sciences 11: 451--456.

The last seems freely available on the internet. 
Wilson proposed what we would now call logit graph paper. 

Nick 

Richard Gibson

Fascinating!  Is there some pre reading?

>>> Nick Cox <n.j.cox@durham.ac.uk> 27/02/2008 22:17 >>>

It is interesting (to me anyway) that the conditioned reflex to "logit"
among many analysts 
is that the root idea is using what we now call the logit function as a
link function for binary 
responses. That approach goes back at least as far as 1941.

Extensions e.g. to responses with multiple outcomes are then regarded as
extra tricks building on that. 

However, the logit idea has a much longer history for modelling growth
or decay in demography, 
ecology, physiology, chemistry etc. for problems with essentially
continuous responses. 
The point is elaborated in a graphical context in a note forthcoming in
Stata Journal 8(1). 


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