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Multiple randomizations
Article first published online: 19 JUL 2006
DOI: 10.1111/j.1467-9868.2006.00557.x
Issue
Journal of the Royal Statistical Society: Series B (Statistical Methodology)
Volume 68, Issue 4, pages 571–609, September 2006
Additional Information
How to Cite
Brien, C. J. and Bailey, R. A. (2006), Multiple randomizations. Journal of the Royal Statistical Society: Series B (Statistical Methodology), 68: 571–609. doi: 10.1111/j.1467-9868.2006.00557.x
Publication History
- Issue published online: 19 JUL 2006
- Article first published online: 19 JUL 2006
- [Read before The Royal Statistical Society at a meeting organized by the Research Section on Wednesday, February 1st, 2006, Professor T. J. Sweeting in the Chair]
- Abstract
- Article
- References
- Cited By
Keywords:
- Design of experiments;
- Mixed models;
- Multiple randomizations;
- Multitiered experiments;
- Pseudofactors;
- Randomization;
- Superimposed experiments;
- Tiers;
- Two-phase experiments
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.