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The Design and Interpretation of Experiments based on a Four-fold Table : the Statistical Assessment of the Effect of Treatment

Published online by Cambridge University Press:  15 September 2014

W. O. Kermack  and
A. G. McKendrick
W. O. Kermack
Affiliation:
Laboratory of the Royal College of Physicians, Edinburgh
A. G. McKendrick
Affiliation:
Laboratory of the Royal College of Physicians, Edinburgh
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Summary

1. Formulæ are given in a convenient form for calculating the numbers of animals likely to be required in a controlled experiment for testing the effect of a treatment, when a rough knowledge of the possible maximum efficiency of the treatment is available, and the level of mortality amongst the controls is approximately known. For most purposes formula (8) is sufficiently accurate.

2. A formula (11) is deduced for calculating the limits between which the real advantage of the treated over the control is likely to lie.

3. The method has been extended to the case where various treatments are compared amongst themselves. A formula (15) is deduced for the calculation of the limits within which the real superiority (or inferiority) of any one treatment over the aggregate of all the treatments is likely to lie.

Type
Proceedings
Information
Proceedings of the Royal Society of Edinburgh , Volume 60 , Issue 4 , 1940 , pp. 362 - 375
Copyright
Copyright © Royal Society of Edinburgh 1940

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References

References to Literature

Udny Yule, G. and Kendall, M. G., 1937. An Introduction to the Theory of Statistics, IIth ed., Charles Griffin & Co., London.Google Scholar
M'kendrick, A. G., 1932–1940. Nine “Analytical Reviews of Reports from Pasteur Institutes on the Results of Anti-Rabies Treatment.” Quart. Bull. Health Organisation League of Nations, 1932, vol. i, pp. 110 and 725; 1933, vol. ii, p. 553; 1934, vol. iii, p. 613; 1935, vol. iv, p. 752; 1937, vol. vi. p. 17; 1938, vol. vii, p. 1; 1940, vol. ix, p. 31.Google Scholar