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Randomization-based models for multitiered experiments: I. A chain of randomizations
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dc.contributor.author | Bailey, Rosemary Anne | |
dc.contributor.author | Brien, C. J. | |
dc.date.accessioned | 2016-04-19T10:30:09Z | |
dc.date.available | 2016-04-19T10:30:09Z | |
dc.date.issued | 2016-06 | |
dc.identifier | 221690083 | |
dc.identifier | c91881a1-9abe-4bdb-bbc2-e1d794c49504 | |
dc.identifier | 84963623712 | |
dc.identifier | 000375175200009 | |
dc.identifier.citation | Bailey , R A & Brien , C J 2016 , ' Randomization-based models for multitiered experiments: I. A chain of randomizations ' , Annals of Statistics , vol. 44 , no. 3 , pp. 1131-1164 . https://doi.org/10.1214/15-AOS1400 | en |
dc.identifier.issn | 0090-5364 | |
dc.identifier.other | ORCID: /0000-0002-8990-2099/work/39600097 | |
dc.identifier.uri | https://hdl.handle.net/10023/8636 | |
dc.description.abstract | We derive randomization-based models for experiments with a chain of randomizations. Estimation theory for these models leads to formulae for the estimators of treatment effects, their standard errors, and expected mean squares in the analysis of variance. We discuss the practicalities in fitting these models and outline the difficulties that can occur, many of which do not arise in two-tiered experiments. | |
dc.format.extent | 34 | |
dc.format.extent | 338783 | |
dc.language.iso | eng | |
dc.relation.ispartof | Annals of Statistics | en |
dc.subject | Analysis of variance | en |
dc.subject | Expected mean square | en |
dc.subject | Mixed model | en |
dc.subject | Multiphase experiments | en |
dc.subject | Multitiered experiments | en |
dc.subject | Randomization-based model | en |
dc.subject | REML | en |
dc.subject | Structure | en |
dc.subject | Tier | en |
dc.subject | QA Mathematics | en |
dc.subject | 3rd-DAS | en |
dc.subject | BDC | en |
dc.subject | R2C | en |
dc.subject.lcc | QA | en |
dc.title | Randomization-based models for multitiered experiments: I. A chain of randomizations | en |
dc.type | Journal article | en |
dc.contributor.institution | University of St Andrews. Statistics | en |
dc.contributor.institution | University of St Andrews. Centre for Interdisciplinary Research in Computational Algebra | en |
dc.identifier.doi | 10.1214/15-AOS1400 | |
dc.description.status | Peer reviewed | en |
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