A Primer on Experiments with Mixtures

Inspired by the author's bestselling advanced book on the topic, A Primer on Experiments with Mixtures provides an introductorypresentation of the key principles behind experimenting withmixtures. Outlining useful techniques through an applied approachwith examples from real research situations, the book supplies acomprehensive discussion of how to design and set up basic mixtureexperiments, then analyze the data and draw inferences fromresults.

Drawing from his extensive experience teaching the topic atvarious levels, the author presents the mixture experiments in aneasy-to-follow manner that is void of unnecessary formulas andtheory. Succinct presentations explore key methods and techniquesfor carrying out basic mixture experiments, including:

• Designs and models for exploring the entire simplex factorspace, with coverage of simplex-lattice and simplex-centroiddesigns, canonical polynomials, the plotting of individualresiduals, and axial designs

• Multiple constraints on the component proportions in the form oflower and/or upper bounds, introducing L-Pseudocomponents, multicomponent constraints, and multiple lattice designs for majorand minor component classifications

• Techniques for analyzing mixture data such as model reductionand screening components, as well as additional topics such asmeasuring the leverage of certain design points

• Models containing ratios of the components, Cox's mixturepolynomials, and the fitting of a slack variable model

• A review of least squares and the analysis of variance forfitting data

Each chapter concludes with a summary and appendices withdetails on the technical aspects of the material. Throughout thebook, exercise sets with selected answers allow readers to testtheir comprehension of the material, and References and RecommendedReading sections outline further resources for study of thepresented topics.

A Primer on Experiments with Mixtures is an excellentbook for one-semester courses on mixture designs and can also serveas a supplement for design of experiments courses at theupper-undergraduate and graduate levels. It is also a suitablereference for practitioners and researchers who have an interest inexperiments with mixtures and would like to learn more about therelated mixture designs and models.