Randomization-based models for multitiered experiments: I. A chain of randomizations

Bailey, Rosemary Anne; Brien, C. J.

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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.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	PURE: 221690083
dc.identifier.other	PURE UUID: c91881a1-9abe-4bdb-bbc2-e1d794c49504
dc.identifier.other	Scopus: 84963623712
dc.identifier.other	ORCID: /0000-0002-8990-2099/work/39600097
dc.identifier.other	WOS: 000375175200009
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.language.iso	eng
dc.relation.ispartof	Annals of Statistics	en
dc.rights	© 2016, Institute of Mathematical Statistics. This work is made available online in accordance with the publisher’s policies. This is the final published version of the work, which was originally published at https://dx.doi.org/10.1214/15-AOS1400	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.description.version	Publisher PDF	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	https://doi.org/10.1214/15-AOS1400
dc.description.status	Peer reviewed	en

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University of St Andrews Research

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