Hostname: page-component-78c5997874-94fs2 Total loading time: 0 Render date: 2024-11-03T05:35:05.439Z Has data issue: false hasContentIssue false

Recent developments in the design of field experiments. IV. Lattice squares with split plots

Published online by Cambridge University Press:  27 March 2009

O. Kempthorne
Affiliation:
Rothamsted Experimental Station, Harpenden, Herts

Extract

The testing of a large number of varieties or treatments can generally be most conveniently made by the use of the quasi-factorial designs devised by Yates. The value of such designs is enhanced by the possibility of introducing further treatments on parts of the plots. The present paper describes a lattice square trial testing 25 organic treatments (actually 22 different treatments with a control represented three times) in which all combinations of nitrogen, phosphate and potash were also tested by splitting the plots and confounding the three-factor interaction with whole plots, the total number of split-plots being 300. Both the design and analysis are comparatively simple and straight-forward, and will serve as an example of the use of split-plot confounding in most types of quasi-factorial designs.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1947

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

REFERENCES

Bartlett, M. S. (1937). Proc. Roy. Soc. A, 160, 268.Google Scholar
Finney, D. J. (1946 a). J. Agric. Sci. 36, 66.Google Scholar
Finney, D. J. (1946 b). J. Agric. Sci. 36, 63.CrossRefGoogle Scholar
Finney, D. J. (1946 c). J. Agric. Sci. 36, 184.CrossRefGoogle Scholar
Fisher, R. A. & Yates, F. (1943). Statistical Tables for Biological, Agricultural and Medical Research, 2nd ed. Edinburgh: Oliver and Boyd.Google Scholar
Yates, F. (1936a). Ann. Eugen., Lond., 7, 121.CrossRefGoogle Scholar
Yates, F. (1936b). J. Agric. Sci. 26, 424.CrossRefGoogle Scholar
Yates, F. (1937a). Ann. Eugen., Lond., 7, 319.CrossRefGoogle Scholar
Yates, F. (1937b). Tech. Commun. Imp. Bur. Soil Sci. no. 35.Google Scholar
Yates, F. (1939). Ann. Eugen., Lond., 9, 136.CrossRefGoogle Scholar
Yates, F. (1940a). Ann. Eugen., Lond., 10, 317.CrossRefGoogle Scholar
Yates, F. (1940b). J. Agric. Sci. 30, 672.CrossRefGoogle Scholar