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Activity Number: 274 - SPES and Q&P Student Paper Award
Type: Topic-Contributed
Date/Time: Wednesday, August 11, 2021 : 1:30 PM to 3:20 PM
Sponsor: Section on Physical and Engineering Sciences
Abstract #317114
Title: Order-of-Addition Mixture Experiments
Author(s): Nicholas Anthony Rios* and Dennis K.J. Lin
Companies: Pennsylvania State University and Purdue University
Keywords: Design of Experiments; Mixture Experiments; Order of Addition; Response Surface Design; Pairwise Ordering Model

In a mixture experiment, several components are mixed to produce a response. Existing literature on mixture designs ignores the addition order of the mixture components. We study the Order-of-Addition (OofA) Mixture experiment, where the response depends on the proportions of each mixture component and their addition order. Empirical study demonstrates that if mixture-order interactions exist, then the optimal mixture proportions identified by traditional models may be misleading. Full designs are proposed for the OofA Mixture experiment, and an algorithm is provided for their construction. Models based on these designs are introduced which include (1) typical mixture model parameters and (2) pairwise order-of-addition effects. Models with mixture-order interactions are also considered. An illustrative example of these methods is shown.

Authors who are presenting talks have a * after their name.

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