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The distribution of quadratic forms in a normal system, with applications to the analysis of covariance

Published online by Cambridge University Press:  24 October 2008

W. G. Cochran
W. G. Cochran
Affiliation:
St John's College
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Extract

Many of the most frequently used applications of the theory of statistics, such for example as the methods of analysis of variance and covariance, the general test of multiple regression and the test of a regression coefficient, depend essentially on the joint distribution of several quadratic forms in a univariate normal system. The object of this paper is to prove the main-relevant results about this distribution. As an application of these results, the theory involved in the method of analysis of covariance will be investigated.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 30 , Issue 2 , 30 April 1934 , pp. 178 - 191
Copyright
Copyright © Cambridge Philosophical Society 1934

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References

REFERENCES

(1)Wishart, J. and Bartlett, M. S., Proc. Camb. Phil. Soc. 29 (1932), 260–270 (261).CrossRefGoogle Scholar
(2)Fisher, R. A., Statistical Methods for Research Workers, 4th edition (1932).Google Scholar
(3)Irwin, J. O., Journal Royal Statistical Soc. 94 (1931), 284–300.CrossRefGoogle Scholar
(4)Fisher, R. A., Metron (5) (1926), 90–104 (97).CrossRefGoogle Scholar