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On an approximate method of determining the median effective dose and its error, in the case of a quantal response

Published online by Cambridge University Press:  15 May 2009

J. O. Irwin
Affiliation:
Of the Medical Research Council's Statistical Staff From the Division of Epidemiology and Vital Statistics, London School of Hygiene and Tropical Medicine
E. A. Cheeseman
Affiliation:
Of the Medical Research Council's Statistical Staff From the Division of Epidemiology and Vital Statistics, London School of Hygiene and Tropical Medicine
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Käber's method is, for many purposes, a sufficiently accurate way of determining the median effective dose, when we have a series of doses increasing in a constant ratio and a small number of animals on each. The standard error of the determination may also be rapidly found by a simple approximate method. Illustrative examples are given.

The standard error calculated by the approximate method is based on the assumption that the animals are homogeneous. It must be used with caution when any heterogeneity is suspected. With animals of similar heterogeneity to those used here, the differences between two different toxic-fractions should only be regarded as significant if they are from 3 to 3.5 times their standard errors so calculated.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1939

References

REFERENCES

Bliss, C. I. (1935a). Ann. appl. Biol. 22, 134.CrossRefGoogle Scholar
Bliss, C. I. (1935b). Ann. appl. Biol. 22, 307.CrossRefGoogle Scholar
Bliss, C. I. (1938). Quart. J. Pharm. Pharmacol. 11, 192.Google Scholar
Fisher, R. A. & Yates, F. (1938). Statistical Tables for Biological, Agricultural and Medical Research. Edinburgh and London.Google Scholar
Gaddum, J. H. (1933). Spec. Rep. Ser. med. Res. Coun., Lond., no. 183.Google Scholar
Irwin, J. O. (1937). J. Roy. Statist. Soc. Suppl. 4, 1.CrossRefGoogle Scholar
Kärber, G. (1931). Arch. exp. Path. Pharmak. 162, 480.CrossRefGoogle Scholar