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Statistics - Statistical Theory and Methods | Optimal Mixture Experiments

Optimal Mixture Experiments

Series: Lecture Notes in Statistics, Vol. 1028

Sinha, B.K., Mandal, N.K., Pal, M., Das, P.

2014, XIX, 209 p. 2 illus.

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  • Includes optimality consideration for estimating both linear and non-linear functions of parameters of some mixture models
  • Includes multi-response mixture models and also random coefficient mixture models, which are totally new considerations in mixture experiments
  • Provides a thorough and effective application of novel techniques such as Loewner Order Domination, Kiefer’s Equivalence Theorem and Bayesian Analysis towards determination of optimal mixture experiments

The book dwells mainly on the optimality aspects of mixture designs. As mixture models are a special case of regression models, a general discussion on regression designs has been presented, which includes topics like continuous designs, de la Garza phenomenon, Loewner order domination, Equivalence theorems for different optimality criteria and standard optimality results for single variable polynomial regression and multivariate linear and quadratic regression models. This is followed by a review of the available literature on estimation of parameters in mixture models. Based on recent research findings, the volume also introduces optimal mixture designs for estimation of optimum mixing proportions in different mixture models, which include Scheffé’s quadratic model, Darroch-Waller model, log- contrast model, mixture-amount models, random coefficient models and multi-response model.  Robust mixture designs and mixture designs in blocks have been also reviewed. Moreover, some applications of mixture designs in areas like agriculture, pharmaceutics and food and beverages have been presented. Familiarity with the basic concepts of design and analysis of experiments, along with the concept of optimality criteria are desirable prerequisites for a clear understanding of the book.  It is likely to be helpful to both theoreticians and practitioners working in the area of mixture experiments.

Content Level » Research

Keywords » Bayesian Analysis - Design of Experiments - Kiefer’s Equivalence Theorem - Linear Models - Loewner Order Domination - Optimum Mixture Designs - Regression Designs

Related subjects » Business, Economics & Finance - Mathematics - Statistical Theory and Methods

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