Mixture Designs for Optimal Formulations (3 Days)

Section 1—Introduction to Mixtures

· What makes a mixture?

· Mixture (Scheffe) polynomials

· Mixture tutorial

· Gold simulation

Section 2—Simplex Design

· Simplex-Lattice designs

Augmenting simplex designs

Interpreting model coefficients

Design evaluation

· Simplex-Centroid designs

Model reduction

Section 3—Constrained Mixtures, Simplex

· Mixture tutorial revisited: actual–real–pseudo

· Optimization of multiple responses

Propagation of error (POE)

Cement optimization

· ABS Pipe: Model reduction & optimization

· Homework assignment

Section 4—Constrained Mixtures, Extreme Vertices

· Constrained mixtures, extreme vertices: shampoo

· Algorithmic point selection: flare

· Simulation of extreme vertices: fruit punch

Ratio constraints: stability

An additional equality constraint

Section 5—Combining Mixture and Process variables

· User defined cross designs: fish

· D-optimal crossed designs: fish and cure time

· Mixture amount experiments: Ibuprofen

· Mixtures with categorical factors: paint

Section 6—Screening Components

· Simplex: Additive package

· Extreme vertices: Snee eight ingredients

· Blue Haze

Section 7—Application & Review

· Homework

· Optional review exercises

Section 8—Appendix

· Using ratios

· Slack variable polynomials

· Explanation of optimization techniques

· Piepel's vs. Cox's direction

See the public workshop schedule and the mixture course description for further information.