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

Rosemary Anne Bailey; C. J.  Brien

doi:10.1214/15-AOS1400

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

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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.

Original language	English
Pages (from-to)	1131-1164
Number of pages	34
Journal	Annals of Statistics
Volume	44
Issue number	3
Early online date	11 Apr 2016
DOIs	https://doi.org/10.1214/15-AOS1400
Publication status	Published - Jun 2016

Keywords

Analysis of variance
Expected mean square
Mixed model
Multiphase experiments
Multitiered experiments
Randomization-based model
REML
Structure
Tier

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10.1214/15-AOS1400

AOS1400
© 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
Final published version, 331 KB

R. A. Bailey
- rab24st-andrews.acuk
- Statistics - Professor
- Centre for Interdisciplinary Research in Computational Algebra
Person: Academic

Cite this

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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.",

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KW - Expected mean square

KW - Mixed model

KW - Multiphase experiments

KW - Multitiered experiments

KW - Randomization-based model

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KW - Structure

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

Abstract

Keywords

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R. A. Bailey

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