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The problem in statistics of testing several variances

Published online by Cambridge University Press:  24 October 2008

M. S. Bartlett
Affiliation:
Queens’ College

Extract

The test of significance of the difference between two means was extended by means of Fisher's methods of analysis of variance to test jointly the differences between several means, the test being essentially the same as the test of significance of two variances. But though it is true in many cases that we are chiefly concerned with two independent estimates of variance, and the method of analysis of variance is available, the problem of jointly testing the variances obtained from several independent samples does not fit obviously into this scheme.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1934

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References

REFERENCES

(1)Neyman, J. and Pearson, E. S., Bulletin de l'Académie Polonaise des Sciences et des Lettres, A (1931), 460481.Google Scholar
(1)Neyman, J.Bulletin de l'Académie Polonaise des Sciences et des Lettres, A (1930), 7396.Google Scholar
(3)Fisher, R. A., Statistical Methods for Research Workers (4th ed. 1932).Google Scholar
(4)K., Pearson, Tables of the Incomplete Beta-Function (1934).Google Scholar
(5)Pearson, E. S. and Wilks, S. S., Biometrika, 25 (1933), 353378.CrossRefGoogle Scholar
(6)Bartlett, M. S., Proc. Roy. Soc. Edin., 53 (1933), 260283.Google Scholar