Open AccessOn the theory of correlation for any number of variables, treated by a new system of notation
Publication year - 1907
Publication title -
proceedings of the royal society of london. series a, containing papers of a mathematical and physical character
Language(s) - English
Resource type - Journals
eISSN - 2053-9150
pISSN - 0950-1207
DOI - 10.1098/rspa.1907.0028
Subject(s) - notation , mathematics , correlation , simple (philosophy) , simple correlation , arithmetic , regression analysis , statistics , epistemology , philosophy , geometry
1. The systems of notation hitherto used by writers on the theory of correlation are somewhat unsatisfactory when many variables are involved. In the present paper a new notation is proposed which is simple, definite, and quite general, thus very greatly facilitating the treatment of the subject. The majority of the results given in the sequel were, in fact, first suggested by the notation itself. 2. Letx 1 x 2 ...x n denote deviations in the values of then variables from their respective arithmetic means. Then the regression equation may be written :—x 1 =b 12.34...n x 2 +b 13.24...n x 3 + ... +b 1n .23...n -1xn