Randomization-based models for multitiered experiments : I. a chain of randomizations
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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.
Bailey , R A & Brien , C J 2016 , ' Randomization-based models for multitiered experiments : I. a chain of randomizations ' Annals of Statistics , vol 44 , no. 3 , pp. 1131-1164 . DOI: 10.1214/15-AOS1400
Annals of Statistics
© 2016, Publisher / the Author(s). 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 www.projecteuclid.org / https://dx.doi.org/10.1214/15-AOS1400