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A Primer on Experiments with Mixtures (Hardcover)
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A Primer on Experiments with Mixtures (Hardcover)
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The concise yet authoritative presentation of key techniques for
basic mixtures experiments Inspired by the author's bestselling
advanced book on the topic, A Primer on Experiments with Mixtures
provides an introductory presentation of the key principles behind
experimenting with mixtures. Outlining useful techniques through an
applied approach with examples from real research situations, the
book supplies a comprehensive discussion of how to design and set
up basic mixture experiments, then analyze the data and draw
inferences from results. Drawing from his extensive experience
teaching the topic at various levels, the author presents the
mixture experiments in an easy-to-follow manner that is void of
unnecessary formulas and theory. Succinct presentations explore key
methods and techniques for carrying out basic mixture experiments,
including: * Designs and models for exploring the entire simplex
factor space, with coverage of simplex-lattice and simplex-centroid
designs, canonical polynomials, the plotting of individual
residuals, and axial designs * Multiple constraints on the
component proportions in the form of lower and/or upper bounds,
introducing L-Pseudocomponents, multicomponent constraints, and
multiple lattice designs for major and minor component
classifications * Techniques for analyzing mixture data such as
model reduction and screening components, as well as additional
topics such as measuring the leverage of certain design points *
Models containing ratios of the components, Cox's mixture
polynomials, and the fitting of a slack variable model * A review
of least squares and the analysis of variance for fitting data Each
chapter concludes with a summary and appendices with details on the
technical aspects of the material. Throughout the book, exercise
sets with selected answers allow readers to test their
comprehension of the material, and References and Recommended
Reading sections outline further resources for study of the
presented topics. A Primer on Experiments with Mixtures is an
excellent book for one-semester courses on mixture designs and can
also serve as a supplement for design of experiments courses at the
upper-undergraduate and graduate levels. It is also a suitable
reference for practitioners and researchers who have an interest in
experiments with mixtures and would like to learn more about the
related mixture designs and models.
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