# st: RE: RE: fractional logit?

 From "Feiveson, Alan H. (JSC-SK311)" To Subject st: RE: RE: fractional logit? Date Fri, 1 Feb 2008 13:19:20 -0600

```ALso consider using a beta distribution to model the fractions -

ssc describe betafit

al Feiveson

-----Original Message-----
From: owner-statalist@hsphsun2.harvard.edu
[mailto:owner-statalist@hsphsun2.harvard.edu] On Behalf Of Verkuilen,
Jay
Sent: Friday, February 01, 2008 12:47 PM
To: statalist@hsphsun2.harvard.edu
Subject: st: RE: fractional logit?

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):
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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