John A. Cornell 
A Primer on Experiments with Mixtures 

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.

About the author

JOHN A. CORNELL, Ph D, is Professor Emeritus of Statistics at the University of Florida. A recognized authority on the topic of experimental design, he has more than forty years of experience in both academia and industrial consulting and was awarded the Shewhart Medal by the American Society of Quality (ASQ) in 2001. A Fellow of both the ASQ and American Statistical Association, Dr. Cornell is the author of Experiments with Mixtures: Designs, Models, and the Analysis of Mixture Data, Third Edition, also published by Wiley.