Combinatorial Patterns of D-Optimal Weighing Designs Using a Spring Balance

dc.contributor.authorPena Pardo, Monica
dc.contributor.authorSarkar, Jyotirmoy
dc.contributor.departmentMathematical Sciences, School of Scienceen_US
dc.date.accessioned2023-02-17T21:44:06Z
dc.date.available2023-02-17T21:44:06Z
dc.date.issued2021
dc.description.abstractGiven a spring balance that reports the true total weight of items plus a white noise of an unknown variance, which n subsets of n items will you weigh in order to estimate the true weights of each item with the highest possible precision? For n ≤ 6, we classify all D-optimal weighing designs according to the combinatorial patterns they exhibit (modulo permutation), we count the D-optimal designs exhibiting each pattern, and we explain how a D-optimal design for n items may arise out of a D-optimal design for (n − 1) items. For n = 7, 11 we exhibit D-optimal designs obtained from balanced incomplete block designs (BIBDs). We discuss some strategies to construct D-optimal designs of larger sizes, and pose some unsolved problems.en_US
dc.eprint.versionFinal published versionen_US
dc.identifier.citationMonica Pena Pardo & Jyotirmoy Sarkar. (2021). Combinatorial Patterns of D-Optimal Weighing Designs Using a Spring Balance. Statistics and Applications, 19(2), 63–76.en_US
dc.identifier.issn2454-7395en_US
dc.identifier.urihttps://hdl.handle.net/1805/31304
dc.language.isoen_USen_US
dc.publisherSSCAen_US
dc.relation.journalStatistics and Applicationsen_US
dc.rightsPublisher Policyen_US
dc.sourcePublisheren_US
dc.subjectDesign of experimentsen_US
dc.subjectEstimable parameteren_US
dc.subjectInformation matrixen_US
dc.subjectCredibility regionen_US
dc.titleCombinatorial Patterns of D-Optimal Weighing Designs Using a Spring Balanceen_US
dc.typeArticleen_US
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