Optimum Designs for Optimum Mixtures: An Informative Review

Authors

  • Manisha Pal Department of Statistics, St. Xavier’s University, Kolkata, India

DOI:

https://doi.org/10.3329/ijss.v24i1.71866

Keywords:

Mixture experiments; second-order models; non-linear function; asymptotic efficiency; weighted centroid designs; optimum designs.

Abstract

In a mixture experiment, the measured response is assumed to depend only on the relative proportions of ingredients or components present in the mixture. Scheffe´ (1958) first systematically considered this problem, and introduced different models and suitable designs. Optimum designs for the estimation of parameters in various mixture models are available in the literature. However, in a mixture experiment, interest is likely to be more on the optimum mixing proportions of the ingredients being used. In this exposition, we take the readers on a journey through the optimum designs developed for estimating the optimum mixture combination as accurately as possible under various mixture models.

International Journal of Statistical Sciences, Vol.24(1), March, 2024, pp 1-14

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Published

2024-03-28

How to Cite

Pal, M. . (2024). Optimum Designs for Optimum Mixtures: An Informative Review. International Journal of Statistical Sciences, 24(1), 1–14. https://doi.org/10.3329/ijss.v24i1.71866

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Section

Original Articles