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June 2016 Randomization-based models for multitiered experiments: I. A chain of randomizations
R. A. Bailey, C. J. Brien
Ann. Statist. 44(3): 1131-1164 (June 2016). DOI: 10.1214/15-AOS1400


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.


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R. A. Bailey. C. J. Brien. "Randomization-based models for multitiered experiments: I. A chain of randomizations." Ann. Statist. 44 (3) 1131 - 1164, June 2016.


Received: 1 August 2013; Revised: 1 May 2015; Published: June 2016
First available in Project Euclid: 11 April 2016

zbMATH: 1338.62028
MathSciNet: MR3485956
Digital Object Identifier: 10.1214/15-AOS1400

Primary: 62B15 , 62J05
Secondary: 62J10

Keywords: Analysis of variance , expected mean square , mixed model , multiphase experiments , multitiered experiments , randomization-based model , REML , structure , tier

Rights: Copyright © 2016 Institute of Mathematical Statistics


Vol.44 • No. 3 • June 2016
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