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Randomization analysis for multitiered experiments

(C Brien with R Bailey)

Some suggest that the only basis for statistical inference in experiments is the randomization employed in them. A theory that uses the randomization as a means of testing hypotheses without making the assumption of normality has been developed for experiments in which there is just a single randomization. We are developing a randomization theory for experiments that involve multiple randomizations. The relationship between the analysis of variance and REML-estimates for multitiered experiments will be described.

Investigators and affiliations:
Dr C. J. Brien, Prof. R. A. Bailey1
1
School of Mathematical Sciences, Queen Mary, University of London, UK.

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