Please use this identifier to cite or link to this item: https://ir.iimcal.ac.in:8443/jspui/handle/123456789/1342
Title: Construction of optimal fractional Order-of-Addition designs via block designs
Authors: Chen, Jianbin
Mukerjee, Rahul
Lin, Dennis K.J.
Keywords: Balanced incomplete block design
Fractional OofA design
Optimality
Pairwise order model
Systematic combinatorial construction
Issue Date: 2020
Publisher: SCOPUS
Statistics and Probability Letters
Elsevier B.V.
Series/Report no.: 161
Abstract: Order of addition (OofA) experiments have found wide applications. Each order (run) of an OofA experiment is a permutation of m(?2) components. It is typically infeasible to compare all the m! possible runs, especially when m is large. This calls for experimentation with a subset or fraction of these m! runs. However, only a few systematic results are available on the construction of such fractions ensuring optimality. We employ block designs to propose a systematic combinatorial construction method for optimal fractional OofA designs, and extend the method to construct highly efficient OofA designs, both in much smaller run sizes than the currently available optimal fractions.
Description: Jianbin Chen, School of Statistics and Data Science, LPMC, Nankai University, Tianjin, 300071, China; Rahul Mukerjee, Indian Institute of Management Calcutta, Joka, Diamond Harbour Road, Kolkata, 700104, India; Dennis K.J. Lin, Department of Statistics, The Pennsylvania State University, University Park, Pennsylvania, 16802, United States
ISSN/ISBN - 01677152
DOI - 10.1016/j.spl.2020.108728
URI: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85079837831&doi=10.1016%2fj.spl.2020.108728&partnerID=40&md5=63b4a8195c96641b7cc9d3c84458e4f7
https://ir.iimcal.ac.in:8443/jspui/handle/123456789/1342
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