An empirical law describing heterogeneity in the yields of agricultural crops
- 1 January 1938
- journal article
- research article
- Published by Cambridge University Press (CUP) in The Journal of Agricultural Science
- Vol. 28 (1), 1-23
- https://doi.org/10.1017/s0021859600050516
Abstract
Using data from a blank experiment with wheat it was found that the regression of the logarithms of the variances for plots of different areas on the logarithms of their areas was approximately linear. A graphical review of variances, etc., reported in the literature for thirty-nine other blank experiments indicates that the results of most such experiments conform to the same law.It is shown that the above law can be generalized (so as to be applicable to any size of field) by applying a certain adjustment to the regression coefficient b', so as to give a modified coefficient b applicable to an “infinite” field.From this generalized relationship there has been deduced an expression ((4), p. 16) to indicate average relative efficiencies to be expected for randomized block experiments with varying numbers of plots per block in a field for which the coefficient b is known.A formulae (5), which may be used to estimate the most efficient size of plot for any given experiment, has also been deduced. The cost of using plots of other than the most efficient size is indicated graphically in Fig. 7.Keywords
This publication has 7 references indexed in Scilit:
- A FURTHER NOTE ON THE ARRANGEMENT OF VARIETY TRIALS: QUASI‐LATIN SQUARESAnnals of Eugenics, 1937
- A Catalogue of Uniformity Trial DataSupplement to the Journal of the Royal Statistical Society, 1937
- A new method of arranging variety trials involving a large number of varietiesThe Journal of Agricultural Science, 1936
- Complex ExperimentsJournal of the Royal Statistical Society Series B: Statistical Methodology, 1935
- The Importance of the Shape of Plots in Field ExperimentationThe Journal of Agricultural Science, 1931
- On a Criterion of Substratum Homogeneity (Or Heterogeneity) in Field ExperimentsThe American Naturalist, 1915
- The Interpretation of Experimental ResultsThe Journal of Agricultural Science, 1910