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Ridge analysis of mixture response surfaces

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  • Draper, Norman R.
  • Pukelsheim, Friedrich

Abstract

Previous applications of ridge analysis to second-order response surfaces based on mixture ingredients (x1,x2,...,xq) which sum to 1 have required transforming from the origin (0,0,...,0), which is not in the mixture space, to a point inside the space, most often the centroid (1/q,1/q,...,1/q). We show that this transformation is not necessary for tracking the maximum and the minimum paths. In addition, we show that the application of ridge analysis is somewhat simplified if the Scheffé model form is replaced by the K (Kronecker) model form, an alternative, homogeneous model given elsewhere.

Suggested Citation

  • Draper, Norman R. & Pukelsheim, Friedrich, 2000. "Ridge analysis of mixture response surfaces," Statistics & Probability Letters, Elsevier, vol. 48(2), pages 131-140, June.
    • Handle: RePEc:eee:stapro:v:48:y:2000:i:2:p:131-140
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    Cited by:

    1. Angun, M.E., 2004. "Black box simulation optimization : Generalized response surface methodology," Other publications TiSEM 2548e953-54ce-44e2-8c5b-7, Tilburg University, School of Economics and Management.

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