TY - JOUR
T1 - Multiple randomizations
AU - Brien, C. J.
AU - Bailey, R. A.
PY - 2006/9
Y1 - 2006/9
N2 - 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.
AB - 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.
KW - Design of experiments
KW - Mixed models
KW - Multiple randomizations
KW - Multitiered experiments
KW - Pseudofactors
KW - Randomization
KW - Superimposed experiments
KW - Tiers
KW - Two-phase experiments
UR - http://www.scopus.com/inward/record.url?scp=33746191855&partnerID=8YFLogxK
U2 - 10.1111/j.1467-9868.2006.00557.x
DO - 10.1111/j.1467-9868.2006.00557.x
M3 - Article
SN - 1369-7412
VL - 68
SP - 571
EP - 609
JO - Journal of the Royal Statistical Society. Series B: Statistical Methodology
JF - Journal of the Royal Statistical Society. Series B: Statistical Methodology
IS - 4
ER -