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Title: A systematic construction of cost-efficient designs for order-of-addition experiments Authors:  Jing-Wen Huang - National Tsing-Hua University (Taiwan) [presenting]
Frederick Kin Hing Phoa - Academia Sinica (Taiwan)
Yuan-Lung Lin - Academia Sinica (Taiwan)
Abstract: An order-of-addition (OofA) experiment aims at investigating how the order of factor inputs affects the experimental response,which is recently of great interest among practitioners in clinical trials and industrial processes. Although the initial framework was established for more than 70 years, recent studies in the design construction of OofA experiments focused on their properties of algebraic optimality rather than cost-efficiency. The latter is more practical in the sense that some experiments, like cancer treatments, may not easily have adequate number of observations. We propose a systematic construction method for designs in OofA experiments from cost-efficient perspective. In specific, our designs take the effect of two successive treatments into consideration. To be cost-efficient, each pair of level settings from two different factors in our design matrix appears exactly once. Compared to recent studies in OofA experiments, our designs not only handle experiments of one-level factors (i.e. all factors are mandatorily considered), but also factors of two or more levels, so practitioners may insert placebo or choose different dose when our designs are used in an OofA experiment in clinical trials for example.