Universally optimal designs for two interference models

dc.contributor.authorZheng, Wei
dc.contributor.departmentDepartment of Mathematical Sciences, School of Scienceen_US
dc.date.accessioned2015-07-10T18:00:19Z
dc.date.available2015-07-10T18:00:19Z
dc.date.issued2015
dc.description.abstractA systematic study is carried out regarding universally optimal designs under the interference model, previously investigated by Kunert and Martin [Ann. Statist. 28 (2000) 1728–1742] and Kunert and Mersmann [J. Statist. Plann. Inference 141 (2011) 1623–1632]. Parallel results are also provided for the undirectional interference model, where the left and right neighbor effects are equal. It is further shown that the efficiency of any design under the latter model is at least its efficiency under the former model. Designs universally optimal for both models are also identified. Most importantly, this paper provides Kushner’s type linear equations system as a necessary and sufficient condition for a design to be universally optimal. This result is novel for models with at least two sets of treatment-related nuisance parameters, which are left and right neighbor effects here. It sheds light on other models in deriving asymmetric optimal or efficient designs.en_US
dc.eprint.versionFinal published versionen_US
dc.identifier.citationZheng, W. (2015). Universally optimal designs for two interference models. The Annals of Statistics, 43(2), 501-518.en_US
dc.identifier.urihttps://hdl.handle.net/1805/6542
dc.language.isoen_USen_US
dc.relation.isversionof10.1214/14-AOS1287en_US
dc.relation.journalThe Annals of Statisticsen_US
dc.sourcePMCen_US
dc.subjectapproximate design theoryen_US
dc.subjectinterference modelen_US
dc.subjectlinear equations systemen_US
dc.titleUniversally optimal designs for two interference modelsen_US
dc.typeArticleen_US
Files
Original bundle
Now showing 1 - 1 of 1
Loading...
Thumbnail Image
Name:
Zheng_2015_universally.pdf
Size:
222.02 KB
Format:
Adobe Portable Document Format
License bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
1.71 KB
Format:
Item-specific license agreed upon to submission
Description: