Access the full text.
Sign up today, get DeepDyve free for 14 days.
Loading next page...
/lp/wiley/some-comments-on-gerechte-designs-A0F7WTSHel
References (33)
-
Tjur Tjur (1984)
Analysis of variance models in orthogonal designs (with discussion)Internat. Statist. Rev., 52
-
E. Pearson (1939)
"Student" as StatisticianBiometrika, 30
-
W. Youden (1964)
Query 1: Inadmissible Random AssignmentsTechnometrics, 6
-
J. Nelder (1965)
The analysis of randomized experiments with orthogonal block structure. I. Block structure and the null analysis of varianceProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 283
-
B. Welch (1937)
ON THE z-TEST IN RANDOMIZED BLOCKS AND LATIN SQUARESBiometrika, 29
-
A. Atkin, L. Hay, R. Larson (1977)
Construction of Knut Vik designsJournal of Statistical Planning and Inference, 1
-
R. Bailey (1981)
A Unified Approach to Design of Experiments, 144
-
W. Youden (1972)
Randomization and ExperimentationTechnometrics, 14
-
T. Tjur (1984)
Analysis of Variance Models in Orthogonal DesignsInternational Statistical Review, 52
-
R. Bailey (1987)
One-way blocks in two-way layoutsBiometrika, 74
-
F. Yates (1964)
Sir Ronald Fisher and the Design of ExperimentsBiometrics, 20
-
Eden Eden, Yates Yates (1933)
On the validity of Fisher's z test when applied to an actual example of non‐normal dataJ. Agric. Sci., 23
-
G. Dyke (1964)
Restricted randomization for blocks of sixteen plotsThe Journal of Agricultural Science, 62
-
O. Tedin (1931)
The Influence of Systematic Plot Arrangement upon the Estimate of Error in field Experiments.The Journal of Agricultural Science, 21
-
Oscar Kempthorne (1952)
The Design and Analysis of ExperimentsSoil Science, 73
-
Behrens Behrens (1956a)
Die Eignung verschiedener Feldversuchsanordnungen zum Ausgleich der BodenunterschiedeZ. Acker- u. Pflanzenbau, 101
-
Bailey Bailey, Kunert Kunert, Rowley Rowley (1987)
Valid randomizationProc. Roy. Soc. A, 410
-
A. Hedayat, W. Federer (1975)
On the Nonexistence of Knut Vik Designs for All Even OrdersAnnals of Statistics, 3
-
J. Robinson (1972)
The Randomization Model for Incomplete Block DesignsAnnals of Mathematical Statistics, 43
-
D. Preece, R. Bailey, H. Patterson (1978)
A RANDOMIZATION PROBLEM IN FORMING DESIGNS WITH SUPERIMPOSED TREATMENTS1Australian & New Zealand Journal of Statistics, 20
-
Behrens Behrens (1956b)
Feldversuchsanordnungen mit verbessertem Ausgleich der BodenunterschiedeZ. f. landwirtsch. Vers.- u. Unters.-Wesen, 2
-
Schuster Schuster, Zschoche Zschoche, Leonhäuser Leonhäuser (1978)
Über die Wirkung zusätzlicher Rechenarbeit zum Ausgleich von Bodenunterschieden in Block‐versuchenLandwirtsch. Forschung, 31
-
R. Bailey (1985)
Restricted Randomization versus BlockingInternational Statistical Review, 53
-
Bailey Bailey (1983a)
Restricted randomizationBiometrika, 70
-
Youden Youden (1964)
Answer to “Query 1, Inadmissable random assignments”Technometrics, 6
-
Grundy Grundy, Healy Healy (1950)
Restricted randomization and quasi‐Latin squaresJ. R. Statist. Soc. B, 12
-
D. Preece, S. Pearce, J. Kerr (1973)
Orthogonal designs for three-dimensional experimentsBiometrika, 60
-
T. Eden, F. Yates (1933)
On the validity of Fisher's z test when applied to an actual example of non-normal data. (With five text-figures.)The Journal of Agricultural Science, 23
-
Bailey Bailey, Kunert Kunert, Martin Martin (1990)
Some comments on gerechte designs. II. Randomization analysis, and other methods that allow for inter‐plot dependenceJ. Agron. Crop Sci.
-
Dagnelie Dagnelie (1959)
Le carré latin magique: technique ďanalyse de la varianceRevue de ľAgriculture, 12
-
F. Yates (1939)
THE COMPARATIVE ADVANTAGES OF SYSTEMATIC AND RANDOMIZED ARRANGEMENTS IN THE DESIGN OF AGRICULTURAL AND BIOLOGICAL EXPERIMENTSBiometrika, 30
-
Ortlepp Ortlepp (1957)
Überlegungen und Vorschläge zur Anordnung der Teilstücke in FeldversuchsanlagenZ. f. landwirtsch. Vers.- u. Unters.-Wesen, 3
-
J. Nelder (1965)
The analysis of randomized experiments with orthogonal block structure. II. Treatment structure and the general analysis of varianceProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 283
- Publisher
- Wiley
- Copyright
- Copyright © 1990 Wiley Subscription Services, Inc., A Wiley Company
- ISSN
- 0931-2250
- eISSN
- 1439-037X
- DOI
- 10.1111/j.1439-037X.1990.tb00842.x
- Publisher site
- See Article on Publisher Site
Abstract
Gerechte designs are row and column designs which have an additional blocking structure formed by spatially compact regions. In this paper, and a companion paper (Baileyet al. 1990) we consider the correct analysis of these designs. In this paper we discuss the purpose of gerechte designs, and we note that the regions are not orthogonal to the rows and columns. This means that the usual sums of squares for rows, columns and regions are not additive. We show how the correct analysis can be performed, either through the use of appropriate formulae, or by the use of a statistical package. In the companion paper we show that the correct analysis cannot be justified by a randomization argument, and we outline other developments in analysis and design that may be more satisfactory.
Journal
Journal of Agronomy and Crop Science – Wiley
Published: Sep 1, 1990