Order-of-addition experiments: A review and some new thoughts

Abstract

The study of order-of-addition (OofA) experiments is prevalent in many scientific and industrial areas. The statistical design of experiments (DOE) will considerably improve the efficiency of OofA experiments. Designing and modeling the OofA experiments have increasingly received a great deal of attention. In this article, we review the latest work on the design and model of OofA experiments, and introduce some new thoughts. We believe that this article will motivate fruitful applications in real OofA experiments as well as future developments in the methodology.

Keywords:

• constraints
• design construction
• exchange algorithm
• higher-order
• optimal designs
• pairwise-order
• symmetry

Additional information

Notes on contributors

Dennis K. J. Lin

Dr. Dennis K.J. Lin is a university distinguished professor of supply chain and statistics at Penn State University. His research interests are quality assurance, industrial statistics, data mining, and response surface. He has published near 200 SCI/SSCI papers in a wide variety of journals. He currently serves or has served as associate editor for more than 10 professional journals and was co-editor for Applied Stochastic Models for Business and Industry. Dr. Lin is an elected fellow of ASA, IMS and ASQ, an elected member of ISI, a lifetime member of ICSA, and a fellow of RSS. He is an honorary chair professor for various universities, including Renmin University of China (as a Chang-Jiang Scholar), Fudan University, The University of Hong Kong, and National Chengchi University (Taiwan). His recent awards including, the recipient of the 2004 Faculty Scholar Medal Award (Penn State), the Youden Address (ASQ, 2010), the Shewell Award (ASQ, 2010), the Don Owen Award (ASA, 2011), the Loutit Address (SSC, 2011), the Hunter Award (ASQ, 2014), and the Shewhart Medal (2015).

Jiayu Peng

Mr. Jiayu Peng is a PhD student at the Department of Statistics, Penn State University. His thesis advisor is Dr. Dennis K.J. Lin. Mr. Peng received a bachelor’s degree in Mathematics from Tsinghua University, China. Mr. Peng’s research interest includes design of experiments, non-parametric statistics, and quantile regression. He has received the Honorable Mention in JSM 2017 for the SPES Outstanding Presentation Awards, and the Student Scholarships for JSM 2015 SPES sponsored roundtable, and the 2011 First-class scholarship at Tsinghua University.