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Analysis of size-grouped potato yield data using a bivariate normal distribution of tuber size and weight

Published online by Cambridge University Press:  27 March 2009

J. E. Hall  and
C. A. Glasbey
J. E. Hall
Affiliation:
Scottish Agricultural Statistics Service, Scottish Crop Research Institute, Invergowrie, Dundee DD2 5DA, UK
C. A. Glasbey
Affiliation:
Scottish Agricultural Statistics Service, The University of Edinburgh, JCMB, The King's Buildings, Edinburgh EH9 3JZ, UK
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Summary

A bivariate normal model is proposed for the joint distribution of potato tuber size and weight. Parameters in the model are estimated from the yields and numbers of tubers in a range of riddle-size categories. The method is illustrated using data from a field experiment; parameters are estimated for each plot, and subjected to analysis of variance. The result is a more succinct summary of treatment effects than that produced in the traditional analysis, where data from each riddle size are analysed separately.

Type
Crops and Soils
Information
The Journal of Agricultural Science , Volume 121 , Issue 2 , October 1993 , pp. 193 - 198
Copyright
Copyright © Cambridge University Press 1993

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References

REFERENCES

Dempster, A. P., Laird, N. M. & Rubin, D. B. (1977). Maximum likelihood from incomplete data via the EM algorithm (with discussion). Journal of the Royal Statistical Society, Series B 39, 1–38.Google Scholar
Glasbey, C. A., McRae, D. C. & Fleming, J. (1988). The size distribution of potato tubers and its application to grading schemes. Annals of Applied Biology 113, 579–587.CrossRefGoogle Scholar
Johnson, N. L. & Kotz, S. (1970). Distributions in Statistics: Continuous Univariate Distributions, Volume 1. New York: Wiley.Google Scholar
Johnson, N. L. & Kotz, S. (1972). Distributions in Statistics: Continuous Multivariate Distributions, Volume 4. New York: Wiley.Google Scholar
MacKerron, D. K. L., Marshall, B. & Jefferies, R. A. (1988). The distributions of tuber sizes in droughted and irrigated crops of potato. II. Relation between size and weight of tubers and the variability of tuber-size distributions. Potato Research 31, 279–288.CrossRefGoogle Scholar
Marshall, B. & Thompson, R. (1986). Tuber-size distribution. Potato Research 29, 261–262.Google Scholar
Sands, P. J. & Regel, P. A. (1983). A model of the development and bulking of potatoes (Solanum tuberosum L.). V. A simple model for predicting graded yields. Field Crops Research 6, 25–40.CrossRefGoogle Scholar
Travis, K. Z. (1987). Use of a simple model to study factors affecting the size distribution of tubers in potato crops. Journal of Agricultural Science, Cambridge 109, 563–571.CrossRefGoogle Scholar