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Biometrika 1990 77(1):187-191;
© 1990 by Biometrika Trust
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On the construction of trend-free run orders of treatments

MICHAEL JACROUX and RITA SAHA RAY

Washington State University Pullman, Washington 99164-2930, U.S.A.
Indian Statistical Institute Calcutta, India

Received for publication 1 October 1988. Revision received 1 April 1989.
  Abstract

In this paper we consider the problem of sequentially applying v treatments to n experimental units over time or space where there may be an unknown trend effect which can be expressed as a polynomial function of the order in which the observations are taken. A method is given for constructing ordered applications of treatments to experimental units which produce easily computed and optimal estimates for treatment differences that are orthogonal to the unknown trend effect.

Key Words: A-optimal • Run order • Treatment • Trend free


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