3. Linear Regression

  1. Stephane Heritier1,
  2. Eva Cantoni2,
  3. Samuel Copt3 and
  4. Maria-Pia Victoria-Feser4

Published Online: 1 DEC 2010

DOI: 10.1002/9780470740538.ch3

Robust Methods in Biostatistics

Robust Methods in Biostatistics

How to Cite

Heritier, S., Cantoni, E., Copt, S. and Victoria-Feser, M.-P. (2009) Linear Regression, in Robust Methods in Biostatistics, John Wiley & Sons, Ltd, Chichester, UK. doi: 10.1002/9780470740538.ch3

Author Information

  1. 1

    The George Institute for International Health, University of Sydney, Australia

  2. 2

    Department of Econometrics, University of Geneva, Switzerland

  3. 3

    Merck Serono International, Geneva, Switzerland

  4. 4

    HEC Section, University of Geneva, Switzerland

Publication History

  1. Published Online: 1 DEC 2010
  2. Published Print: 17 APR 2009

ISBN Information

Print ISBN: 9780470027264

Online ISBN: 9780470740538



  • linear regression and linear regression model;
  • testing hypotheses and analysis of regression models;
  • estimating regression parameters;
  • Glomerular Filtration Rate (GFR) data example;
  • testing regression parameters;
  • regression models and multiple hypothesis testing;
  • checking and selection of model - residual analysis;
  • diabetes data and estimated model;
  • LS estimated parameters of ‘best’ model selected by AIC;
  • robust estimates of regression parameters and significance tests - for cardiovascular risk factors data (model selected by the RAIC)


This chapter contains sections titled:

  • Introduction

  • Estimating the Regression Parameters

  • Testing the Regression Parameters

  • Checking and Selecting the Model

  • Cardiovascular Risk Factors Data Example