Please use this identifier to cite or link to this item:
https://hdl.handle.net/2440/116137
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Type: | Journal article |
Title: | Randomization-based models for multitiered experiments: I. A chain of randomizations |
Author: | Bailey, R. Brien, C. |
Citation: | Annals of Statistics, 2016; 44(3):1131-1164 |
Publisher: | Institute of Mathematical Statistics |
Issue Date: | 2016 |
ISSN: | 0090-5364 |
Statement of Responsibility: | R. A. Bailey and C. J. Brien |
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. |
Keywords: | Analysis of variance; expected mean square; mixed models; multiphase experiments; multitiered experiments; randomization-based model; REML; structure; Tier; QA Mathematics; 3rd-DAS |
Rights: | © 2016, Publisher / the Author(s). 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 www.projecteuclid.org / https://dx.doi.org/10.1214/15-AOS1400 |
DOI: | 10.1214/15-AOS1400 |
Published version: | http://dx.doi.org/10.1214/15-aos1400 |
Appears in Collections: | Aurora harvest 8 Mathematical Sciences publications |
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hdl_116137.pdf | Published version | 335.19 kB | Adobe PDF | View/Open |
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