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Multiple randomizations

C. J. Brien, R. A. Bailey

Journal of the Royal Statistical Society: Series B (Statistical Methodology) · 2006 · Volume 68 · Issue 4

DOI: 10.1111/j.1467-9868.2006.00557.x

Abstract

Summary.Multitiered experiments are characterized by involving multiple randomizations, in a sense that we make explicit. We compare and contrast six types of multiple randomizations, using a wide range of examples, and discuss their use in designing experiments. We outline a system of describing the randomizations in terms of sets of objects, their associated tiers and the factor nesting, using randomization diagrams, which give a convenient and readily assimilated summary of an experiment's randomization. We also indicate how to formulate a randomization-based mixed model for the analysis of data from such experiments.

Keywords

Design of experiments, Mixed models, Multiple randomizations, Multitiered experiments, Pseudofactors, Randomization, Superimposed experiments, Tiers, Two-phase experiments

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