Mathematical Proceedings of the Cambridge Philosophical Society

Research Article

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

W. G. Cochrana1

a1 St John's College

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.

(Received February 17 1934)

(Accepted March 05 1934)