Skip to main content Accesibility Help

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

  • W. G. Cochran (a1)

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.

Hide All
(1)Wishart, J. and Bartlett, M. S., Proc. Camb. Phil. Soc. 29 (1932), 260270 (261).
(2)Fisher, R. A., Statistical Methods for Research Workers, 4th edition (1932).
(3)Irwin, J. O., Journal Royal Statistical Soc. 94 (1931), 284300.
(4)Fisher, R. A., Metron (5) (1926), 90–104 (97).
Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Mathematical Proceedings of the Cambridge Philosophical Society
  • ISSN: 0305-0041
  • EISSN: 1469-8064
  • URL: /core/journals/mathematical-proceedings-of-the-cambridge-philosophical-society
Please enter your name
Please enter a valid email address
Who would you like to send this to? *


Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Abstract views

Total abstract views: 0 *
Loading metrics...

* Views captured on Cambridge Core between <date>. This data will be updated every 24 hours.

Usage data cannot currently be displayed