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Biometrika 1985 72(1):153-163; doi:10.1093/biomet/72.1.153
© 1985 by Biometrika Trust
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Additivity and interaction in three-component experiments with mixtures

J. N. DARROCH and J. WALLER

School of Mathematical Sciences, Flinders University of South Australia Adelaide, South Australia
Biometrics Section, Ministry of Agriculture and Fisheries Hamilton, New Zealand

Additivity and interaction are defined for a three-component mixture experiment, and studied both for polynomial models and factorial models. The notion of the blandness of a component is introduced. Linear blending is equivalent to the combination of no interaction and the blandness of all three components.

Key Words: Additivity • Canonical polynomial • Experiment with mixtures • Interaction • Linear blending • Mixture experiment


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