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st: RE: fractional logit?


From   "Verkuilen, Jay" <JVerkuilen@gc.cuny.edu>
To   <statalist@hsphsun2.harvard.edu>
Subject   st: RE: fractional logit?
Date   Fri, 1 Feb 2008 13:46:37 -0500

Viktor Slavtchev wrote:

>>I have individual data where people report the share of time they
spend 
in five distinct activities. People can do more than one activity every 
day: first jogging, then go to work, then shopping, whatever. That is, 
there are five observation per ID individual. Actually, the ID is the 
(each person's) day. I wish to explore the individual characteristics 
determining the share of time spent for each activity.
As the dependent variable is a share [0;1] I was thinking about 
fractional logit. In Stata it would be (I guess):
glm y x, family(binomial) link(logit).
However, I am not clear whether fractional logit can be applied on the 
original data, or the data have first to be transformed in some way.
Moreover, in doing -glm- live above I implicitly assume that each 
observation is independent which is definitely not true.
Does anybody know some solution?<<

Yes, you are correct that there are notable dependencies among the
variables caused by the sum constraint. Take a look at the book by John
Aitchison, Compositional Data Analysis. The original edition is 1986 but
it was republished in 2003 with some additions. 

Feel free to drop me a line, I'm interested in this problem. 

Jay

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