Mixture Designs for Optimal Formulations (2 Days)
Day 1
Section 1—Introduction to Mixtures
- What makes a mixture?
- Mixture (Scheffé) polynomials
- Gold jewelry
Section 2—Unconstrained Mixtures
- Simplex-Lattice designs
- Simplex without augmentation
- Augmenting simplex designs
Lunch
- Blocking to reduce variation
Section 3—Constrained Mixtures, Simplex
- Detergent Formulation
- Coding: Actual – Real – L_Pseudo
- Optimization of multiple responses
- Numeric (desirability function)
- Graphical (overlay plot)
- ABS Pipe: model reduction and optimization
- Piepel’s vs. Cox’s direction
Day 2
Section 4—Constrained Mixtures, Extreme Vertices
- Sizing for precision
- Constrained mixtures, extreme vertices: Shampoo
- Optimal point selection: Flare
- Transformations: Antiseptic
Section 5—Multicomponent Constraints
- Group constraints: Fruit punch
- Ratio constraints: Stability
- An additional equality constraint: Ice cream
Lunch
Section 6—Screening Components
- Simplex: Additive package
- Extreme vertices
- Cox and Piepel effects
- Snee eight ingredients
- Follow-up study
- Linear + squared terms: Liquidus temperature
Section 7—Special Mixture and Process Problems
- Mixture amount experiments: Ibuprofen
- Mixtures with categorical factors: Auto coating
Section 8—Homework and Optional Material
- Homework assignment
- Optional material (as time allows):
- Augmenting a mixture design: Sparklers
- Sizing designs to detect a difference: Paint verification
See the public workshop schedule and the mixture course description for further information.