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.