TY - JOUR
T1 - Optimal Designs for Multi-Response Experiments
AU - Fischer, Brittany
AU - Burke, Sarah E.
AU - Montgomery, Douglas C.
AU - Jones, Bradley
N1 - Publisher Copyright:
© Copyright 2024, Military Operations Research Society.
PY - 2024
Y1 - 2024
N2 - Designed experiments can be a powerful tool for gaining fundamental understanding of systems and processes or maintaining or optimizing systems and processes. There are usually multiple performance and quality metrics that are of interest in an experiment, and these multiple responses may include data from nonnormal distributions, such as binary or count data. A design that is optimal for a normal response can be very different from a design that is optimal for a nonnormal response. This work presents a two-phase method that helps experimenters identify a hybrid design for a multi-response problem. Mixture and optimal design methods are used with a weighted optimality criterion for a three-response problem that includes a normal, binomial, and Poisson model but could be generalized to an arbitrary number and combination of responses belonging to the exponential family. A mixture design is used to identify the optimal weights in the criterion presented.
AB - Designed experiments can be a powerful tool for gaining fundamental understanding of systems and processes or maintaining or optimizing systems and processes. There are usually multiple performance and quality metrics that are of interest in an experiment, and these multiple responses may include data from nonnormal distributions, such as binary or count data. A design that is optimal for a normal response can be very different from a design that is optimal for a nonnormal response. This work presents a two-phase method that helps experimenters identify a hybrid design for a multi-response problem. Mixture and optimal design methods are used with a weighted optimality criterion for a three-response problem that includes a normal, binomial, and Poisson model but could be generalized to an arbitrary number and combination of responses belonging to the exponential family. A mixture design is used to identify the optimal weights in the criterion presented.
UR - http://www.scopus.com/inward/record.url?scp=85192700574&partnerID=8YFLogxK
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U2 - 10.5711/1082598329163
DO - 10.5711/1082598329163
M3 - Article
AN - SCOPUS:85192700574
SN - 0275-5823
VL - 29
SP - 63
EP - 74
JO - Military Operations Research
JF - Military Operations Research
IS - 1
ER -