In most experiments, a single set of treatments is allocated to a single
set of experimental units. See the book
Design
of Comparative Experiments,
or its
draft version.
What happens when three or more sets are involved?
| Topics | Some of my
publications |
|---|
| A wide range of examples, identifying several different cases |
C. J. Brien and R. A. Bailey:
Multiple randomizations (with discussion).
Journal of the Royal Statistical Society, Series B
68
(2006),
571–609.
doi: 10.1111/j.1467-9868.2006.00557.x
[Maths Reviews 2301010]
|
| How should the data vector space be decomposed? |
C. J. Brien and R. A. Bailey:
Decomposition tables for experiments. I. A chain of randomizations.
Annals of Statistics
37
(2009),
4184–4213.
doi: 10.1214/09-AOS717
[Maths Reviews 2572457 (2010k: 62294)]
C. J. Brien and R. A. Bailey:
Decomposition tables for experiments. II. Two-one randomizations.
Annals of Statistics
38
(2010),
3164–3190.
doi: 10.1214/09-AOS785
[Maths Reviews 2722467 (2011j:62187)]
|
| What model does randomization theory give? |
R. A. Bailey and C. J. Brien:
Randomization-based models for multitiered experiments: I. A chain of randomizations.
Annals of Statistics,
44
(2016),
1131–1164.
doi: 10.1214/15-AOS1400
[Maths Reviews 3485956]
|
| How should a multiphase experiment be designed? |
C. J. Brien, B. D. Harch, R. L. Correll and R. A. Bailey:
Multiphase experiments with at least one later laboratory phase.
I. Orthogonal designs.
Journal of Agricultural, Biological and Environmental
Statistics
16
(2011),
422–450.
doi: 10.1007/s13253-011-0060-z
[Maths Reviews 2843135]
R. A. Bailey:
Design keys for multiphase experiments.
In mODa 11—Advances in Model-Oriented Design and Analysis
(eds. Joachim Kunert, Christine H. Müller and Anthony C. Atkinson),
Springer International Publishing, 2016,
pp. 27–35.
doi: 10.1007/978-3-319-31266-8_4
|
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