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A Property of Geometric Mean Regression

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  • Shaoji Xu

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.

Suggested Citation

  • Shaoji Xu, 2014. "A Property of Geometric Mean Regression," The American Statistician, Taylor & Francis Journals, vol. 68(4), pages 277-281, November.
    • Handle: RePEc:taf:amstat:v:68:y:2014:i:4:p:277-281
    DOI: 10.1080/00031305.2014.962763
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    References listed on IDEAS

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    1. Draper, Norman R. & Yang, Yonghong (Fred), 1997. "Generalization of the geometric mean functional relationship," Computational Statistics & Data Analysis, Elsevier, vol. 23(3), pages 355-372, January.
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