Time Trends and Factorial Experiments

Peter W. M. John

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Optimal Experimental Design Methods Statistical Methods and Applications Simulation Techniques and Applications

Abstract

When factorial experiments are carried out over a period of time, the response may be subject to time trends. This might happen, for example, with the steady buildup of deposits in a test engine. This article shows how to arrange the runs in a factorial experiment in sequences so that the main effects and, sometimes, the two-factor interactions are uncorrelated with linear or quadratic time trends. This is achieved by using the principle of foldover designs. Trendfree sequences are obtained for both 2 n and 3 n factorials.

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References

1961The 2k—pFractional Factorial Designs 2000The 2 k-p Fractional Factorial Designs Part I 1984Experimental Design: Review and Comment 1961The 2 k-p Fractional Factorial Designs Part I 1988The Construction of Trend-Free Run Orders of Two-Level Factorial Designs 1988Minimum Cost Trend-Free Run Orders of Fractional Factorial Designs 1966Factorial 2p–qPlans Robust Against Linear and Quadratic Trends 1974Some Run Orders Requiring a Minimum Number of Factor Level Changes for the 2 4 and 2 5 Main Effect Plans

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2001Optimal exact experimental designs with correlated errors through a simulated annealing algorithm

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