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A note on differential responses in blocks

Published online by Cambridge University Press:  27 March 2009

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

The purpose of this note is to present the results of the analysis of a series of experiments for the existence of interactions between treatments tested and blocks. It is implicit in all modern designs which involve confounding and/or fractional replication that such interactions are negligible compared with the effects and interactions which the experiments are designed to estimate. The matter has been discussed from the theoretical point of view in a recent paper on confounding and fractional replication (Kempthorne, 1947). This note will consist of a short statement of the problem and the results of an examination of a series of experiments on sugar beet which provide information on the point in question.

Type
Research Article
Information
The Journal of Agricultural Science , Volume 37 , Issue 3 , July 1947 , pp. 245 - 248
Copyright
Copyright © Cambridge University Press 1947

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References

REFERENCES

Cornish, E. A. & Fisher, R. A. (1937).Moments and cumulants in the specification of distributions. Extr. Rev. Inst. Int. Statist. 4, 1–14.Google Scholar
Finney, D. J. (1946). Recent developments in the design of field experiments. III. Fractional replication. J. Agric. Sci. 36, 184–91.CrossRefGoogle Scholar
Kempthorne, O. (1947). A simple approach to confounding and fractional replication in factorial experiments. Biometrika, 34 (in the press).Google Scholar
Yates, F. (1935). Complex experiments. Suppl. J. R. Statist. Soc. 2, 181–223.CrossRefGoogle Scholar