Hostname: page-component-78c5997874-mlc7c Total loading time: 0 Render date: 2024-11-08T08:00:41.613Z Has data issue: false hasContentIssue false

Row-and-column designs with two replicates

Published online by Cambridge University Press:  27 March 2009

H. D. Patterson
Affiliation:
Scottish Agricultural Statistics Service, University of Edinburgh
Dorothy L. Robinson
Affiliation:
Scottish Agricultural Statistics Service, University of Edinburgh

Summary

This paper presents a series of 20 two-replicate row-and-column designs for field trials comparing between 25 and 100 varieties on small plots.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1989

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Clarke, G. M. (1963). A second set of treatments in a Youden square design. Biometrics 19, 98104.CrossRefGoogle Scholar
Cochran, W. G. & Cox, G. M. (1957). Experimental Designs, 2nd edn.New York: Wiley.Google Scholar
Fisher, R. A. (1935). The Design of Experiments. Edinburgh: Oliver & Boyd.Google Scholar
Haliburn, C. I. (1980). Resolvable Row-and-Column Designs. University of Edinburgh thesis.Google Scholar
John, J. A. (1987). Cyclic Designs. London: Chapman & Hall.Google Scholar
John, J. A. & Eccleston, J. A. (1986). Row-column α-designs. Biometrika 73, 301306.Google Scholar
Kempton, R. A. (1985). Comparison of nearest neighbour and classical methods of analysis. In Spatial Methods in Field Experiments, Papers presented at a Biometric Society workshop held at the University of Durham on 13 12 1984.Google Scholar
Kempton, R. A. & Howes, C. W. (1981). The use of neighbouring plot values in the analysis of variety trials. Applied Statistics 30, 5970.CrossRefGoogle Scholar
Patterson, H. D. & Hunter, E. A. (1983). The efficiency of incomplete block designs in National List and Recommended List cereal variety trials. Journal of Agricultural Science, Cambridge 101, 427433.Google Scholar
Pearce, S. C. (1983). The Agricultural Field Experiment. Chichester: Wiley.Google Scholar
Robinson, D. L. (1987). Estimation and use of variance components. The Statistician 36, 314.Google Scholar
Robinson, D. L., Kershaw, C. D. & Ellis, R. P. (1988). An investigation of two-dimensional yield variability in breeders' small plot barley trials. Journal of Agricultural Science, Cambridge 111, 419426.CrossRefGoogle Scholar
Williams, E. R. (1986). Row and column designs with contiguous replicates. Australian Journal of Statistics 28, 154163.CrossRefGoogle Scholar
Williams, E. R., Patterson, H. D. & John, J. A. (1976). Resolvable designs with two replications. Journal of the Royal Statistical Society B 38, 296301.Google Scholar
Yates, F. (1937). A further note on the arrangement of variety trials: Quasi-Latin squares. Annals of Eugenics 7, 121140.Google Scholar
Yates, F. (1940). Lattice squares. Journal of Agricultural Science, Cambridge 30, 672687.CrossRefGoogle Scholar
Yates, F. (1970). Experimental Design. London: Griffin.Google Scholar