D-optimal mixture component-amount designs for quadratic and cubic models

Philip Prescott and Norman Draper

Journal of Applied Statistics, 2008, vol. 35, issue 7, 739-749

Abstract: When the total amount of a mixture of ingredients needs to be taken into account (in addition to the composition of its ingredients), an experimental design requires several levels of the amount. Designs for such situations are discussed, and D-optimal choices are made for fitting quadratic and cubic models, for various numbers of experimental units.

Keywords: component amounts; D -optimality; mixtures; Scheffe models; Scheffe designs (search for similar items in EconPapers)
Date: 2008
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DOI: 10.1080/02664760801997133

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