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A special purpose linear programming algorithm for obtaining least absolute value estimators in a linear model with dummy variables
Authors:Ronald D Armstrong  Edward Frome
Institution:1. The University of Texas , Austin, Texas;2. Oak Ridge Associated Universities , Oak Ridge, Tennessee
Abstract:Dummy (0, 1) variables are frequently used in statistical modeling to represent the effect of certain extraneous factors. This paper presents a special purpose linear programming algorithm for obtaining least-absolute-value estimators in a linear model with dummy variables. The algorithm employs a compact basis inverse procedure and incorporates the advanced basis exchange techniques available in specialized algorithms for the general linear least-absolute-value problem. Computational results with a computer code version of the algorithm are given.
Keywords:L1 norm  analysis of covariance  regression  generalized upper bounding
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