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

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.