Hostname: page-component-cd9895bd7-7cvxr Total loading time: 0 Render date: 2024-12-26T05:54:13.892Z Has data issue: false hasContentIssue false
  • English
  • Français

The factorial combination of treatments in rotation experiments

Published online by Cambridge University Press:  27 March 2009

H. D. Patterson
H. D. Patterson
Affiliation:
Rothamsted Experimental Station
Get access Rights & Permissions [Opens in a new window]

Extract

The paper deals with points arising in the design of factorial schemes for incorporating fertilizer and other treatments in rotation experiments. These schemes make extensive use of fractional replication and confounding, including split-plot confounding. They are complicated by the need to apply some treatments cumulatively and others with levels changed between plots in successive cycles so as to minimize errors due to constant plot differences.

Design keys are used to identify the treatment main effects and rotation differences with particular plot contrasts. The keys exhibit the structure of a design more compactly and clearly than a complete enumeration of identities and confounded contrasts and enable treatment combinations to be generated systematically.

Type
Research Article
Information
The Journal of Agricultural Science , Volume 65 , Issue 2 , October 1965 , pp. 171 - 182
Copyright
Copyright © Cambridge University Press 1965

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

Cochran, W. G. (1939). Long-term agricultural experiments. J. E. Statist. Soc. (Suppl.), 6, 104–48.Google Scholar
Cochban, W. G. & Cox, G. M. (1957). Experimental Designs. New York: Wiley and Sons Inc.Google Scholar
Finney, D. J. (1960). The Theory of Experimental Design. Chicago: University of Chicago Press.Google Scholar
Fisher, R. A. (1942). The theory of confounding in factorial experiments in relation to the theory of groups. Ann. Eugen., Lond., 11, 341–53.CrossRefGoogle Scholar
Fisher, R. A. (1945). A system of confounding for factors with more than two alternatives, giving completely orthogonal cubes and higher powers. Ann. Eugen., Lond., 12, 283–90.CrossRefGoogle Scholar
Pattebson, H. D. (1964). Theory of cyclic rotation experiments. J. R. Statist. Soc. B, 26, 1–45.Google Scholar
Peabce, S. C. & Taylor, J. (1948). The changing of treatments in a long-term trial. J. Agric. Sci. 38, 402–10.Google Scholar
Yates, F. (1937). The design and analysis of factorial experiments. Tech. Commun. Commonw. Bur. Soil Sci. no. 35. Harpenden.Google Scholar
Yates, F. (1949). The design of rotation experiments. Commonwealth Bur. Soil Sci. Tech. Commun. no. 46.Google Scholar