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Singh R, Stufken J. Selection of two-level supersaturated designs for main effects models. Technometrics 2022. [DOI: 10.1080/00401706.2022.2102080] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/17/2022]
Affiliation(s)
- Rakhi Singh
- University of North Carolina at Greensboro, Greensboro, NC, USA
| | - John Stufken
- University of North Carolina at Greensboro, Greensboro, NC, USA
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Chatterjee K, Ou Z, Qin H. R-optimal two-level supersaturated designs. STATISTICS-ABINGDON 2021. [DOI: 10.1080/02331888.2021.1909029] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/21/2022]
Affiliation(s)
| | - Zujun Ou
- College of Mathematics and Statistics, Jishou University, Jishou, People's Republic of China
| | - Hong Qin
- School of Statistics and Mathematics, Zhongnan University of Economics and Law, Wuhan, People's Republic of China
- College of Mathematics and Statistics, Central China Normal University, Wuhan, People's Republic of China
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Singh R, Das A, Horsley D. SUE (s2)-optimal supersaturated designs. Stat Probab Lett 2020. [DOI: 10.1016/j.spl.2019.108673] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Indexed: 10/25/2022]
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Jones B, Lekivetz R, Majumdar D, Nachtsheim CJ, Stallrich JW. Construction, Properties, and Analysis of Group-Orthogonal Supersaturated Designs. Technometrics 2019. [DOI: 10.1080/00401706.2019.1654926] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
Affiliation(s)
| | | | - Dibyen Majumdar
- Department of Mathematics, Statistics, and Computer Science, University of Illinois at Chicago, Chicago, IL
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Chatterjee K, Drosou K, Georgiou SD, Koukouvinos C. Multi-level and mixed-level k-circulant supersaturated designs. METRIKA 2018. [DOI: 10.1007/s00184-018-0645-4] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
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Androulakis E, Koukouvinos C, Vonta F. A New Method for the Analysis of Supersaturated Designs with Discrete Data. COMMUN STAT-SIMUL C 2016. [DOI: 10.1080/03610918.2014.884589] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/25/2022]
Affiliation(s)
- E. Androulakis
- Department of Mathematics, National Technical University of Athens, Zografou, Athens, Greece
| | - C. Koukouvinos
- Department of Mathematics, National Technical University of Athens, Zografou, Athens, Greece
| | - F. Vonta
- Department of Mathematics, National Technical University of Athens, Zografou, Athens, Greece
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Phoa FKH, Chen RB, Wang W, Wong WK. Optimizing Two-level Supersaturated Designs using Swarm Intelligence Techniques. Technometrics 2016; 58:43-49. [PMID: 27103752 DOI: 10.1080/00401706.2014.981346] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
Abstract
Supersaturated designs (SSDs) are often used to reduce the number of experimental runs in screening experiments with a large number of factors. As more factors are used in the study, the search for an optimal SSD becomes increasingly challenging because of the large number of feasible selection of factor level settings. This paper tackles this discrete optimization problem via an algorithm based on swarm intelligence. Using the commonly used E(s2) criterion as an illustrative example, we propose an algorithm to find E(s2)-optimal SSDs by showing that they attain the theoretical lower bounds in Bulutoglu and Cheng (2004) and Bulutoglu (2007). We show that our algorithm consistently produces SSDs that are at least as efficient as those from the traditional CP exchange method in terms of computational effort, frequency of finding the E(s2)-optimal SSD and also has good potential for finding D3-, D4- and D5-optimal SSDs.
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Affiliation(s)
| | - Ray-Bing Chen
- Department of Statistics, National Cheng Kung University
| | - Weichung Wang
- Institute of Applied Mathematical Sciences, National Taiwan University
| | - Weng Kee Wong
- Department of Biostatistics, University of California at Los Angeles
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Gutman AJ, Bulutoglu DA, White ED. Supersaturated Designs With the Maximum Number of Factors for a Given Resolution-Rank. JOURNAL OF STATISTICAL THEORY AND PRACTICE 2015. [DOI: 10.1080/15598608.2014.916242] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/25/2022]
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Gutman AJ, White ED, Lin DK, Hill RR. Augmenting supersaturated designs with Bayesian <mml:math altimg="si581.gif" display="inline" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd" xmlns:sa="http://www.elsevier.com/xml/common/struct-aff/dtd"><mml:mi>D</mml:mi></mml:math>-optimality. Comput Stat Data Anal 2014. [DOI: 10.1016/j.csda.2013.09.009] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
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Miller A, Tang B. Finding MDS-Optimal Supersaturated Designs Using Computer Searches. JOURNAL OF STATISTICAL THEORY AND PRACTICE 2013. [DOI: 10.1080/15598608.2013.781888] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
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Chatterjee K, Koukouvinos C, Mantas P, Skountzou A. A general construction of E(fNOD)-optimal multi-level supersaturated designs. J Stat Plan Inference 2012. [DOI: 10.1016/j.jspi.2011.11.014] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/17/2022]
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Shun Chai F, Chatterjee K, Das A, Midha C. Optimal Supersaturated Designs for smFactorials in (mod s) Runs. JOURNAL OF STATISTICAL THEORY AND PRACTICE 2012. [DOI: 10.1080/15598608.2012.647577] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/28/2022]
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Koukouvinos C, Parpoula C. Analyzing Supersaturated Designs by Means of an Information Based Criterion. COMMUN STAT-SIMUL C 2012. [DOI: 10.1080/03610918.2011.579365] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/17/2022]
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Koukouvinos C, Mylona K, Simos DE. An Algorithmic Construction of E( s2)-Optimal Supersaturated Designs. JOURNAL OF STATISTICAL THEORY AND PRACTICE 2011. [DOI: 10.1080/15598608.2011.10412034] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/28/2022]
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Chatterjee K, Koukouvinos C, Mylona K. A new lower bound to A2-optimality measure for multi-level and mixed-level column balanced designs and its applications. J Stat Plan Inference 2011. [DOI: 10.1016/j.jspi.2010.08.012] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/19/2022]
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Kole B, Gangwani J, Gupta VK, Parsad R. Two-Level Supersaturated Designs: A Review. JOURNAL OF STATISTICAL THEORY AND PRACTICE 2010. [DOI: 10.1080/15598608.2010.10412006] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/28/2022]
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Li P, Zhao S, Zhang R. A cluster analysis selection strategy for supersaturated designs. Comput Stat Data Anal 2010. [DOI: 10.1016/j.csda.2010.01.010] [Citation(s) in RCA: 19] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
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Koukouvinos C, Mylona K. Group screening method for the statistical analysis ofE(fNOD)-optimal mixed-level supersaturated designs. ACTA ACUST UNITED AC 2009. [DOI: 10.1016/j.stamet.2008.12.002] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/21/2022]
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Georgiou SD, Draguljić D, Dean AM. An Overview of Two-Level Supersaturated Designs with Cyclic Structure. JOURNAL OF STATISTICAL THEORY AND PRACTICE 2009. [DOI: 10.1080/15598608.2009.10411940] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/28/2022]
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Koukouvinos C, Mylona K, Simos DE. A hybrid SAGA algorithm for the construction of -optimal cyclic supersaturated designs. J Stat Plan Inference 2009. [DOI: 10.1016/j.jspi.2008.05.006] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/22/2022]
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Koukouvinos C, Mylona K. A general construction of E(s 2)-optimal supersaturated designs via supplementary difference sets. METRIKA 2008. [DOI: 10.1007/s00184-008-0189-0] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/21/2022]
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Bulutoglu DA, Ryan KJ. -optimal supersaturated designs with good minimax properties when N is odd. J Stat Plan Inference 2008. [DOI: 10.1016/j.jspi.2007.06.026] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
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Koukouvinos C, Mylona K, Simos DE. -optimal and minimax-optimal cyclic supersaturated designs via multi-objective simulated annealing. J Stat Plan Inference 2008. [DOI: 10.1016/j.jspi.2007.05.044] [Citation(s) in RCA: 21] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
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Nguyen NK, Cheng CS. NewE(S2)-Optimal Supersaturated Designs Constructed From Incomplete Block Designs. Technometrics 2008. [DOI: 10.1198/004017007000000452] [Citation(s) in RCA: 34] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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Chatterjee K, Sarkar A, Lin DK. Supersaturated designs with high searching probability. J Stat Plan Inference 2008. [DOI: 10.1016/j.jspi.2007.05.006] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/01/2022]
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Tang Y, Ai M, Ge G, Fang KT. Optimal mixed-level supersaturated designs and a new class of combinatorial designs. J Stat Plan Inference 2007. [DOI: 10.1016/j.jspi.2006.07.012] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
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Liu Y, Ruan S, Dean AM. Construction and analysis of efficient supersaturated designs. J Stat Plan Inference 2007. [DOI: 10.1016/j.jspi.2006.09.001] [Citation(s) in RCA: 16] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
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Koukouvinos C, Mylona K, Simos DE. Exploring -circulant supersaturated designs via genetic algorithms. Comput Stat Data Anal 2007. [DOI: 10.1016/j.csda.2006.11.042] [Citation(s) in RCA: 17] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
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