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Dispersion effects in unreplicated factorial designs

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  • Kerstin Wiklander
  • Sture Holm

Abstract

Methods for estimation of dispersion effects in two‐level unreplicated factorial designs are studied. The consequences of non‐constant variance are discussed. A natural assumption concerning the form of the covariance of location effects leads to a particular normal model. Some linear combinations of the response variables are constructed in order to make a simple structure for inference. The precision of point estimators of dispersion effects, where one is based on experiments with replicates, are compared. A numerical example is given as an illustration of a test. Finally, estimations in fractional designs are described and discussed. Copyright © 2002 John Wiley & Sons, Ltd.

Suggested Citation

  • Kerstin Wiklander & Sture Holm, 2003. "Dispersion effects in unreplicated factorial designs," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 19(1), pages 13-30, January.
    • Handle: RePEc:wly:apsmbi:v:19:y:2003:i:1:p:13-30
    DOI: 10.1002/asmb.464
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