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Analysis of Dispersion Effects in Fractional Factorial Two-Level Designs

  • Steffen Uhlig
Conference paper

Abstract

In factorial designs that are used in the development of new products or in other applications the response Y frequently has unequal variances depending on the factor levels. The response can be written as a function Y = f(x), where x = (t′, Z′), entails all factors influencing Y. t denotes the treatment, i. e. the levels of the controllable factors (design factors), while Z denotes the levels of the (non-observable) random factors. It is assumed that all components of Z are stochastically independent.

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References

  1. Box, G. E. P and Meyer, R. D. [1986], Dispersion effects from fractional designs, Technometrics 30, 1–17CrossRefGoogle Scholar
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  4. Rao, C. R. [1979], MINQE theory and its relation to ML and MML estimation of variance components. Sankhya 41, 138–153Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1993

Authors and Affiliations

  • Steffen Uhlig
    • 1
  1. 1.Institut für Statistik und ÖkonometrieFreie Universität BerlinBerlin 33Germany

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