Computing D-optimal experimental designs for estimating treatment contrasts under the presence of a nuisance time trend

  • We prove a mathematical programming characterisation of approximate partial D-optimality under general linear constraints. We use this characterisation with a branch-and-bound method to compute a list of all exact D-optimal designs for estimating a pair of treatment contrasts in the presence of a nuisance time trend up to the size of 24 consecutive trials.

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Metadaten
Author:Radoslav Harman, Guillaume Sagnol
Editor:Ansgar Steland, Ewaryst Rafajłowicz, Krzysztof Szajowski
Document Type:In Proceedings
Parent Title (English):Stochastic Models, Statistics and Their Applications
Volume:122
First Page:83
Last Page:91
Series:Springer Proceedings in Mathematics & Statistics
Publisher:Springer
Year of first publication:2015
Preprint:urn:nbn:de:0297-zib-53640
DOI:https://doi.org/10.1007/978-3-319-13881-7_10