Hostname: page-component-586b7cd67f-gb8f7 Total loading time: 0 Render date: 2024-11-24T21:48:54.318Z Has data issue: false hasContentIssue false

Lattice squares

Published online by Cambridge University Press:  27 March 2009

F. Yates
Affiliation:
Rothamsted Experimental Station, Harpenden, Herts

Extract

A new method of analysing the results of experiments arranged in lattice (quasi-Latin) square designs is described. By this method the information contained in the inter-row and inter-column comparisons is recovered. The procedure followed is to estimate the actual accuracy of the inter-row and inter-column comparisons relative to intra-row and column comparisons, and assign weights proportional to these relative accuracies.

The methods of computation by which this procedure can be carried out expeditiously are described in detail, and are illustrated by two experiments carried out at Rothamsted and Woburn. The gains in accuracy obtained in these two experiments (as compared with ordinary randomized blocks) were approximately 30% and 60% respectively, allowing for losses of information due to inaccuracies of weighting.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1940

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Fisher, R. A. & Yates, F. (1938). Statistical Tables for Biological, Agricultural and Medical Research. Edinburgh: Oliver and Boyd.Google Scholar
Stevens, W. L. (1939). Ann. Eugen., Lond., 9, 8293.CrossRefGoogle Scholar
Yates, F. (1937). Ann. Eugen., Lond., 7, 319–31.CrossRefGoogle Scholar
Yates, F. (1939). Ann. Eugen., Lond., 9, 136–56.CrossRefGoogle Scholar