Optimal Designs for Quadratic Regression on One Variable and Blocks of Size Two

  • Peter Goos
Part of the Lecture Notes in Statistics book series (LNS, volume 164)


In this chapter, exact D-optimal designs are derived for an optometry experiment for the estimation of a quadratic polynomial in one explanatory variable. Two observations are made for each subject participating in the experiment, so that each subject serves as a block of two possibly correlated observations. The exact D-optimal designs for this problem are compared to the best possible three-level designs and to the continuous D-optimal designs.


Optimal Design Factor Level Design Point Quadratic Regression Wear Contact Lens 
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Copyright information

© Springer Science+Business Media New York 2002

Authors and Affiliations

  • Peter Goos
    • 1
  1. 1.Department of Applied EconomicsKatholieke Universiteit LeuvenLeuvenBelgium

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