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.
| 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 |
