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Activity Number: 151
Type: Contributed
Date/Time: Monday, August 7, 2006 : 10:30 AM to 12:20 PM
Sponsor: IMS
Abstract - #305796
Title: Residuals and Diagnostics in Dirichlet Regression
Author(s): Rafiq Hijazi*+
Companies: United Arab Emirates University
Address: CBE Statistics Department, Al Ain, 17555, United Arab Emirates
Keywords: compositional data ; Dirichlet regression ; quantile residuals ; Aitchison's distance
Abstract:

Compositional data are rarely analyzed with the usual multivariate statistical methods. One approach to model such data is Dirichlet regression. We present various diagnostic methods for Dirichlet regression models. We discuss the use of quantile residuals to check the distributional assumptions. Measures of total variability and goodness of fit are proposed to assess the adequacy of the suggested models. An R-square measure based on Aitchison's distance is introduced. The likelihood distance is employed to identify the influential compositions. Finally, an example with real data is presented and discussed.


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