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st: RE: The dependent variable is a multi-proportion in actual values


From   "Verkuilen, Jay" <JVerkuilen@gc.cuny.edu>
To   <statalist@hsphsun2.harvard.edu>
Subject   st: RE: The dependent variable is a multi-proportion in actual values
Date   Mon, 15 Jun 2009 13:09:29 -0400

Others have provided some answers. I cited John Aitchison's 2003
Compositional Data Analysis book already:

http://www.amazon.com/Statistical-Analysis-Compositional-Data/dp/1930665
784/ref=sr_1_1?ie=UTF8&qid=1245085601&sr=8-1

This puts compositional data analysis into a multivariate normal
framework, which overcomes the problems of the covariance structure of
the Dirichlet but buys other problems (sensitivity to outliers being the
worst). 

An alternative is to convert the data to ranks and then use a rank
model, e.g., -rologit-. It depends on how much boost you get from the
metric information in the percentages. Often this seems to be "not
much." 

JV

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