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The Geometry of Path Coefficients and Correlations
Author(s) -
Rao B. Raja,
Li C. C.
Publication year - 1982
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.4710240707
Subject(s) - mathematics , euclidean space , path (computing) , euclidean geometry , correlation , geometry , mathematical analysis , computer science , programming language
Abstract In the present paper, a generalized cosine formula is obtained for the difference between two angles in a k ‐dimensional Euclidean space, which is utilized to derive one of the principles of path analysis, namely, the correlation between two random variables is the sum of all connecting paths between them.