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Multiple randomizations

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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

Document Type: Research Article


Affiliations: 1: University of South Australia, Adelaide, Australia 2: Queen Mary, University of London, UK

Publication date: 2006-09-01

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