Robust Linear Regression Using Theil's Method

P. Glaister
Department of Mathematics, University of Reading, Whiteknights, Reading RG6 6AX, United Kingdom
J. Chem. Educ., 2005, 82 (10), p 1472
DOI: 10.1021/ed082p1472.2
Publication Date (Web): October 1, 2005

Abstract

The method of least squares is not resistant to the undue influence outliers can have on the estimate of slope and intercept. An alternative approach is to use a method that is specifically designed to reduce the effect that outliers can have on slope and intercept estimates.

Keywords (Audience):

First-Year Undergraduate / General

Keywords (Domain):

Physical Chemistry

Keywords (Feature):

Letters

Keywords (Subject):

Calibration

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This article has been cited by 2 ACS Journal articles (2 most recent appear below).

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      A fed state in vitro methodology capable of use in commercial testing laboratories has been developed for measuring the human ingestion bioaccessibility of polyaromatic hydrocarbons (PAHs) in soil (Fed ORganic Estimation human Simulation Test- FOREhST). ...

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    Dealing with Outliers: Robust, Resistant Regression

    Leslie Glasser
    Journal of Chemical Education2007 84 (3), 533
    • Dealing with Outliers: Robust, Resistant Regression

      Leslie Glasser
      Journal of Chemical Education2007 84 (3), 533

      Least-squares linear regression is the best of statistics and it is the worst of statistics. The reasons for this paradoxical claim, arising from possible inapplicability of the method and the excessive influence of "outliers", are discussed and ...

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History

  • Received: August 03, 2009

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