Book ChapterDOI
Optimal Mixture Designs for Estimation of Natural Parameters in Other Mixture Models
Bikas K. Sinha,Nripes Kumar Mandal,Manisha Pal,Premadhis Das +3 more
- pp 75-85
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TLDR
This chapter focuses on finding optimum mixture designs for the estimation of natural parameters of models other than that of Scheffe viz., Becker’s models, Darroch–Waller [D–W] model and Log-contrast model.Abstract:
In this chapter, we focus on finding optimum mixture designs for the estimation of natural parameters of models other than that of Scheffe viz., Becker’s models, Darroch–Waller [D–W] model and Log-contrast model. It is also equally fascinating to note that so much has been done in these other mixture models as well. We mainly review the results that are already available and some new findings are presented.read more
References
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Journal ArticleDOI
General Equivalence Theory for Optimum Designs (Approximate Theory)
TL;DR: For general optimality criteria, this article obtained criteria equivalent to $\Phi$-optimality under various conditions on ''Phi'' and showed that such equivalent criteria are useful for analytic or machine computation of ''phi''-optimum designs.
Journal ArticleDOI
Optimal and Efficient Designs of Experiments
TL;DR: In this article, the problem of multilinear regression on the simplex has been studied and a sufficient condition for optimality is given, and a corrected version is given to the condition which Karlin and Studden (1966a) state as equivalent to optimality.
Journal ArticleDOI
Log contrast models for experiments with mixtures
John Aitchison,John Bacon-Shone +1 more
TL;DR: In this article, a new form of expected response function involving log contrasts of the proportions is introduced for experiments with mixtures, and the advantages and disadvantages of log contrast models are discussed and illustrated in applications.
Journal ArticleDOI
Models for the Response of a Mixture
TL;DR: In this article, the authors propose models constructed from functions homogeneous of degree one which overcome these difficulties, yet leave a wide choice of models, leaving a wide range of models for a mixture system.