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A- and D-optimal designs for a log contrast model for experiments with mixtures

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  • Ling-Yau Chan
  • Ying-Nan Guan

Abstract

A- and D-optimal designs are investigated for a log contrast model suggested by Aitchison & Bacon-Shone for experiments with mixtures. It is proved that when the number of mixture components q is an even integer, A- and D-optimal designs are identical; and when q is an odd integer, A- and D-optimal designs are different, but they share some common support points and are very close to each other in efficiency. Optimal designs with a minimum number of support points are also constructed for 3, 4, 5 and 6 mixture components.

Suggested Citation

  • Ling-Yau Chan & Ying-Nan Guan, 2001. "A- and D-optimal designs for a log contrast model for experiments with mixtures," Journal of Applied Statistics, Taylor & Francis Journals, vol. 28(5), pages 537-546.
    • Handle: RePEc:taf:japsta:v:28:y:2001:i:5:p:537-546
    DOI: 10.1080/02664760120047870
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    Cited by:

    1. Mong-Na Lo Huang & Miao-Kuan Huang, 2009. "$${\phi_p}$$ -optimal designs for a linear log contrast model for experiments with mixtures," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 70(2), pages 239-256, September.

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