Book ChapterDOI
Miscellaneous Topics: Robust Mixtures, Random Regression Coefficients, Multi-response Experiments, Mixture–Amount Models, Blocking in Mixture Designs
Bikas K. Sinha,Nripes Kumar Mandal,Manisha Pal,Premadhis Das +3 more
- pp 161-200
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TLDR
In this paper, the authors present the underlying optimal mixture design settings and present a variety of interesting and nonstandard areas of mixture designs, including robust mixture designs and optimality in Scheffe and D-W models with random regression coefficients.Abstract:
In this chapter, we dwell on some mixture design settings and present the underlying optimal designs. The purpose is to acquaint the readers with a variety of interesting and nonstandard areas of mixture designs. The chapter is divided into two parts. In Part A, we cover robust mixture designs and optimality in Scheffe and D–W models with random regression coefficients. In Part B, we discuss mixture–amount model due to Pal and Mandal (Comm Statist Theo Meth 41:665–673, 2012a), multi-response mixture models and mixture designs in blocks. We present the results already available and also some recent findings.read more
References
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Journal ArticleDOI
A Basis for the Selection of a Response Surface Design
TL;DR: In this paper, the problem of choosing a design such that the polynomial f(ξ) = f (ξ1, ξ2, · · ·, ξ k ) fitted by the method of least squares most closely represents the true function over some region of interest R in the ξ space, no restrictions being introduced that the experimental points should necessarily lie inside R, is considered.
Journal ArticleDOI
The design of experiments for discriminating between two rival models
TL;DR: In this paper, the D-optimum design theory has been extended to the problem of discriminating between any number of models, where the design points xi are known and the random variables Cik are independently normally distributed with zero mean and constant variance 0y2.
Journal ArticleDOI
Optimal design : Experiments for discriminating between several models
TL;DR: In this paper, the authors consider experimental designs for discriminating between three or more rival regression models and show that the results are similar to those of the earlier one, except in some simple cases, a straightforward generalization of those when there are only two models.
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