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math.ST2013
Randomization-based models for experiments: I. A chain of randomizations
R. A. Bailey, C. J. Brien
We derive randomization-based models for experiments with a chain of randomizations. The estimation theory for these models leads to formulae for the estimators of treatment effect…
math.ST2010★ 6 cited
Decomposition tables for experiments. II. Two--one randomizations
C. J. Brien, R. A. Bailey
We investigate structure for pairs of randomizations that do not follow each other in a chain. These are unrandomized-inclusive, independent, coincident or double randomizations. T…
math.ST2009★ 11 cited
Decomposition tables for experiments I. A chain of randomizations
C. J. Brien, R. A. Bailey
One aspect of evaluating the design for an experiment is the discovery of the relationships between subspaces of the data space. Initially we establish the notation and methods for…