A Property of Geometric Mean Regression

Shaoji Xu

The American Statistician, 2014, vol. 68, issue 4, 277-281

Abstract: This article gives an overview of four classical regressions: regression of Y on X , regression of X on Y , orthogonal regression, and geometric mean regression. It also compares two general parametric families that unify all four regressions: Deming's parametric family and Roos' parametric family. It is shown that Roos regression can be done by minimizing the sum of squared α-distance, and as a special case, geometric mean regression can be obtained by minimizing the sum of squared adjusted distances between the sample points and an imaginary line.

Date: 2014
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DOI: 10.1080/00031305.2014.962763

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