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Statistical appendix

Published online by Cambridge University Press:  27 March 2009

R. C. Campbell
R. C. Campbell
Affiliation:
School of Agriculture, University of Cambridge
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Extract

Bleasdale & Nelder (1960) refer to several models which have been used in studying the relationship of yield and density in crop plants and indicate that they regard as most satisfactory the equation:

where ω = yield/plant, ρ = number of plants/unit area and A and B are constants. The estimation of the constants for any given case is a very unattractive arithmetic exercise requiring a fairly large number of observations and a tedious iterative calculation; Nelder (1961) has discussed the least squares fit with the equation in the form

which may readily be derived from (1) by the substitutions

The data in the present case do not justify attempting this process but some progress can be made by the substitutions

by means of which it is easy to derive from (1) that

Type
Research Article
Information
The Journal of Agricultural Science , Volume 59 , Issue 1 , August 1962 , pp. 63 - 66
Copyright
Copyright © Cambridge University Press 1962

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References

REFERENCES

Bleasdale, J. K. A. & Nelder, J. A. (1960). Nature, Lond., 188, 342.CrossRefGoogle Scholar
Nelder, J. A. (1961). Biometrics, 17, 89.CrossRefGoogle Scholar