Journal of the Korean Statistical Society

The Korean Statistical Society (한국통계학회)
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Restricted Mixture Designs for Three Factors

  • Nae K. Sung (Department of Computer Science and Statistics, Seoul National University, Seoul 151) ;
  • Park, Sung H. (Department of Computer Science and Statistics, Seoul National University, Seoul 151)
  • Published : 1980.12.01
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Abstract

Draper and Lawrence (1965a) have given mixture designs for three factors when all the mixture components can vary on the entire factor space so that the region of interest is an equilateral triangle in two dimensions. In this paper their work is extended to the cases when the region of interest is an echelon, parallelogram, pentagon or hexagon, because of the restirctions imposed on some or all of the mixture components. The principles used in the choice of appropriate designs are those originally introduced by Box and Draper(1959). It is assumed that a response surface equation of first order is fitted, but there is a possibility of bias error due to presence of second order terms in the true model. Minimum bias designs for several cases of restricted regions of interest are illustrated.

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References

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