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

Ling-Yau Chan and Ying-Nan Guan

Journal of Applied Statistics, 2001, vol. 28, issue 5, 537-546

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.

Date: 2001
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DOI: 10.1080/02664760120047870

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