Advanced Formulations: Combining Mixture & Process Variables (2 Days)

Day 1

Section 1—Review Exercises (process)

• Factorial  (mouse cell)
  • Sizing for power
• RSM  (spray coating)
  • Multiple linear constraints (MLCs)
  • Sizing for precision with FDS
  • Optimal design

Section 2—Mixture Review and Optimization

• Mixture  (hydrophilic tablet)
  • Build and analyze
  • Numeric Optimization
  • Graphical Optimization

Lunch                                           

• Propagation of error
  

Section 3—Combining Mixture and Process Variables

• User defined crossed designs  (fish)
• D-optimal crossed designs  (fish & cure time)
• Mixture amount experiments  (hormones)
  • Zero amount of categoric component
• Mixtures with categoric factors  (auto coating)

Day 2              

Section 4—Combining Mixture Designs

• Combining two mixtures
  • Balancing cations and anions
• Lady Baltimore (two mixtures and an amount)

Section 5—Using Ratios of Components

• Ratios as a natural scale  (gasoline blending)
  • Using log ratios  (polymer formulation)
• Using ratios to combine designs
  • Combining mixtures
  • Combining mixture and process

Lunch              

Section 6—More Mixture Models

• Partial Quadratic Mixture (PQM) models
  • Linear with select squared and cross product terms
  • Linear + squared terms  (blue haze)
• Cox’s mixture models
• Quartic and special quartic models

Section 7—Optional Material (as time allows)

• An additional equality constraint  (coating)
• Inverted simplex  U_Pseudo
• Selecting a metric for components  (polyols)

Section 8—Review Exercises (as time allows)

• Homework assignment
• DOE support
• Review material (as time allows):
  • Augmenting a mixture design  (sparklers)
  • Sizing designs to detect a difference  (paint verification)

See the public workshop schedule and the Advanced Formulation course description for further information on this class.