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Design of Experiments Guide > Mixture Designs
Publication date: 04/21/2023

Mixture Designs

Designs for Formulations

Use the Mixture Design platform to build experiments with factors that are components in a mixture. Choose from several classical mixture design approaches, such as simplex, extreme vertices, and lattice. For the extreme vertices approach, you can supply a set of linear inequality constraints limiting the geometry of the mixture factor space.

In mixture experiments, a factor's value is its proportion of the mixture, which falls between zero and one. Mixture experiments have three or more factors with the sum of the factor proportions equal to one (100%). Mixture experiments differ from other experimental types in that you cannot vary factors independently of one another. When you change the proportion of one factor, the proportion of one or more other factors must also change. This simple fact has a profound effect on every aspect of experimentation with mixtures: the factor space, the design properties, and the interpretation of the results.

Because the mixture components are proportions that sum to one, the feasible region of a mixture design takes the form of a simplex. For example, three factor deigns can be visualized with a triangular 2-D graph and four factor designs can be visualized with a 3-D tetrahedron.

Figure 14.1 Ternary Plot

Ternary Plot

Contents

Overview of Mixture Designs

Build a Mixture Design

Responses
Factors

Ternary Plot Overview

Examples of Mixture Design Types

Example of Optimal Mixture Design
Example of Simplex Centroid Design
Example of Simplex Lattice Design
Example of Extreme Vertices Design
Example of an ABCD Design
Example of a Space Filling Mixture Design

Fit Mixture Designs

Whole Model Tests and Analysis of Variance Reports
Understand Response Surface Reports

Additional Example of the Mixture Design Platform

Statistical Details for Mixture Designs

Statistical Details for the Extreme Vertices Method
Statistical Details for FFF Optimality Criterion for Mixture Space Filling Designs
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