1 / 10

Mixture Design Using Coordinate Exchange

Mixture Design Using Coordinate Exchange. Bradley Jones. Outline. Technical Hurdles for Coordinate Exchange applied to Mixture Experimentation. Demonstration. Technical Hurdles. Find a feasible starting design. Non-independence of mixture factors. Finding a starting design.

godfrey
Download Presentation

Mixture Design Using Coordinate Exchange

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript


  1. Mixture Design Using Coordinate Exchange Bradley Jones

  2. Outline • Technical Hurdles for Coordinate Exchange applied to Mixture Experimentation. • Demonstration.

  3. Technical Hurdles • Find a feasible starting design. • Non-independence of mixture factors.

  4. Finding a starting design • For each point: • If the point satisfies the constraints keep it. • Otherwise keep projecting the point onto the nearest constraint until all constraints are satisfied.

  5. Non-independence of Mixture Factors • Usually coordinate exchange works by considering only one coordinate at a time. This is impossible for mixtures. • Solution: • Move only in the Cox direction. • Find best improvement in determinant.

  6. Outline • Technical Hurdles for Coordinate Exchange applied to Mixture Experimentation. • Demonstration.

  7. Demonstration Set Up • Consider three mixture components. • Require that no component comprise more than 50% of the mixture. • Create a six run design to fit an interactions model.

  8. Coordinate Exchange Demo

  9. JMP DOE Demo #5 Continued

  10. Conclusion • The Coordinate Exchange Algorithm with modification can find D-optimal Mixture Designs. • The resulting algorithm is comparatively fast especially as the number of mixture components increases.

More Related