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On the Standard Errors and Other Moments for Ratios of Biological Measurements

Published online by Cambridge University Press:  03 October 2008

B. A. Oyejola  and
R. Mead
B. A. Oyejola
Affiliation:
Department of Applied Statistics, University of Reading, Reading RG6 2AN, England
R. Mead
Affiliation:
Department of Applied Statistics, University of Reading, Reading RG6 2AN, England
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Summary

A method of obtaining the standard error and some other moments for the ratios of biological measurements is given, with the conditions to be satisfied by the variables used to form such ratios. Some applications of the distributional properties of the ratios in the analysis of results from experiments are discussed.

Type
Research Article
Information
Experimental Agriculture , Volume 25 , Issue 4 , October 1989 , pp. 473 - 484
Copyright
Copyright © Cambridge University Press 1989

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References

REFERENCES

Creasy, M. A. (1954). Limits for the ratio of means. Journal of the Royal Statistical Society B 16:186–194.Google Scholar
Fieller, E. C. (1954). Some problems in interval estimation. Journal of the Royal Statistical Society B 16:175–185.Google Scholar
Geary, R. C. (1930). The frequency distribution of the quotient of two normal variables. Journal of the Royal Statistical Society 93:442–446.CrossRefGoogle Scholar
Hinkley, D. V. (1969). On the ratio of two correlated normal random variables. Biometrika 56:635–639.CrossRefGoogle Scholar
Mead, R. & Willey, R. W. (1980). The concept of a ‘Land Equivalent Ratio’ and advantages in yields from intercropping. Experimental Agriculture 16:217–228.CrossRefGoogle Scholar
Oyejola, B. A. & Mead, R. (1982). Statistical assessment of different ways of calculating Land Equivalent Ratios. Experimental Agriculture 18:125–138.CrossRefGoogle Scholar
Oyejola, B. A. (1983). Some statistical considerations in the use of the Land Equivalent Ratio to assess yield advantages in intercropping. Ph.D. thesis, University of Reading.Google Scholar
Srivastava, A. B. L. (1959). Effect of non-normality on the power of analysis of variance test. Biometrika 46:114–122.CrossRefGoogle Scholar
Willey, R. W. (1979). Intercropping – its importance and research needs. I. Competition and yield advantages. Field Crop Abstracts 32:1–10.Google Scholar
Willey, R. W. & Rao, M. R. (1980). A competitive ratio for quantifying competition between intercrops. Experimental Agriculture 16:117–125.CrossRefGoogle Scholar