In most experiments, we assume that the response on each experimental unit
is affected by the treatment on that unit and by inherent features of that
experimental unit. However, tall sunflowers may shade shorter neighbouring
varieties, or disease may spread from an untreated plot to a neighbouring
plot. Neighbour designs allow for such neighbour effects.
A different departure from the usual assumptions is that responses on
neighbouring plots are correlated. It turns out that neighbour designs are
good for this situation too. However, the appropriate data analysis is quite
different in the two situations.
| Topics | Some of my
publications |
|---|
| Neighbour effects in one dimension or around a circle |
J.-M. Azaïs, R. A. Bailey and H. Monod:
A catalogue of efficient neighbour-designs with border plots.
Biometrics
49
(1993),
1252–1261.
doi: 10.2307/2532269
R. A. Bailey:
Design of experiments with edge effects and neighbour effects.
In The Optimal Design of Forest
Experiments and Forest Surveys
(eds. K. Rennolls and G. Gertner),
University of Greenwich, London,
1993,
pp. 41–48.
R. A. Bailey, M. A. Ollis and D. A. Preece:
Round-dance neighbour designs from terraces.
Discrete Mathematics
266
(2003),
69–86.
doi: 10.1016/S0012-365X(02)00799-9
[Maths Reviews 1991707 (2004k: 05043)]
R. E. L. Aldred, R. A. Bailey, Brendan D. McKay and Ian M. Wanless:
Circular designs balanced for neighbours at distances one and two.
Biometrika,
101
(2014),
943–956.
doi: 10.1093/biomet/asu036
|
| Neighbour effects in one dimension in one direction only |
R. A. Bailey:
Designs for one-sided neighbour effects.
Journal of the Indian Society of Agricultural Statistics
56
(2003),
302–314.
[Maths Reviews 2059549]
R. A. Bailey, Peter J. Cameron, Katarzyna Filipiak, Joachim Kunert and
Augustyn Markiewicz:
On optimality and construction of circular repeated-meaurements designs.
Statistica Sinica,
27,
(2017),
pp.1–22.
doi: 10.5705/ss.202015.0045
|
| Neighbour effects in two dimensions |
E. R. Williams and R. A. Bailey:
A note on designs for neighbor configurations.
Mathematical Biosciences
56
(1981),
153–154.
doi: 10.1016/0025-5564(81)90033-X
[Maths Reviews 0627089 (82h: 92050)]
R. A. Bailey:
Quasi-complete Latin squares: construction and randomization.
Journal of the Royal Statistical Society, Series B
46
(1984),
323–334.
doi: 10.1111/j.2517-6161.1984.tb01305.x
[Maths Reviews 0781893 (86i: 62161)]
|
| Neighbour effects of only one factor |
H. Monod and R. A. Bailey:
Two-factor designs balanced for the neighbour effect of one factor.
Biometrika
80
(1993),
643–659.
doi: 10.1093/biomet/80.3.643
[Maths Reviews 1248028 (95e: 62087)]
|
| How to randomize without destroying neighbour properties |
R. A. Bailey:
Quasi-complete Latin squares: construction and randomization.
Journal of the Royal Statistical Society, Series B
46
(1984),
323–334.
doi: 10.1111/j.2517-6161.1984.tb01305.x
[Maths Reviews 0781893 (86i: 62161)]
R. A. Bailey:
Restricted randomization for neighbour-balanced designs.
Statistics and Decisions
Supplement 2
(1985),
237–248.
[Maths Reviews 0829496 (87e: 62073)]
R. A. Bailey and C. A. Rowley:
Valid randomization.
Proceedings of the Royal Society, Series A
410
(1987),
105–124.
doi: 10.1098/rspa.1987.0030
|
| Design and analysis when responses on neighbouring plots are
correlated |
R. A. Bailey, J.-M. Azaïs and H. Monod:
Are neighbour methods preferable to analysis of variance for
completely systematic designs? `Silly designs are silly!'.
Biometrika
82
(1995),
655–659.
doi: 10.1093/biomet/82.3.655
[Maths Reviews 1366290 (96h: 62141)]
H. Monod, J.-M. Azaïs and R. A. Bailey:
Valid randomisation for the first difference analysis.
Australian Journal of Statistics
33
(1996),
91–106.
doi: 10.1111/j.1467-842X.1996.tb00367.x
[Maths Reviews 1410805 (97f: 62120)]
J.-M. Azaïs, H. Monod and R. A. Bailey:
The influence of design on validity and efficiency of neighbour methods.
Biometrics
54
(1998),
1374–1387.
doi: 10.2307/2533664
|
Page maintained by R. A. Bailey