Combinatorial Patterns of D-Optimal Weighing Designs Using a Spring Balance
dc.contributor.author | Pena Pardo, Monica | |
dc.contributor.author | Sarkar, Jyotirmoy | |
dc.contributor.department | Mathematical Sciences, School of Science | en_US |
dc.date.accessioned | 2023-02-17T21:44:06Z | |
dc.date.available | 2023-02-17T21:44:06Z | |
dc.date.issued | 2021 | |
dc.description.abstract | Given 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.version | Final published version | en_US |
dc.identifier.citation | Monica 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.issn | 2454-7395 | en_US |
dc.identifier.uri | https://hdl.handle.net/1805/31304 | |
dc.language.iso | en_US | en_US |
dc.publisher | SSCA | en_US |
dc.relation.journal | Statistics and Applications | en_US |
dc.rights | Publisher Policy | en_US |
dc.source | Publisher | en_US |
dc.subject | Design of experiments | en_US |
dc.subject | Estimable parameter | en_US |
dc.subject | Information matrix | en_US |
dc.subject | Credibility region | en_US |
dc.title | Combinatorial Patterns of D-Optimal Weighing Designs Using a Spring Balance | en_US |
dc.type | Article | en_US |
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