Accession Number : AD0763462

Title :   Vector Correlation. Part 1.

Descriptive Note : Technical rept.,

Corporate Author : GEORGE WASHINGTON UNIV WASHINGTON D C DEPT OF STATISTICS

Personal Author(s) : Stephens,M. A.

Report Date : 05 JUN 1973

Pagination or Media Count : 30

Abstract : It is sometimes of interest to examine whether two sets of unit vectors, paired in some way, are correlated. The two sets of vectors, u(1), u(2),...,u(n) and v(1), v(2),...,v(n), may for example denote directional data e.g. the direction of magnetization of rock samples before and after laboratory treatment, and one wants to know if u(1) is correlated with v(1), u(2) with v(2), etc. A definition of vector correlation is proposed which makes the set v well-correlated with u if an orthogonal transformation can be found to align the v(i) close to the corresponding u(i). This can be sharpened to insist that the necessary transformation be a rotation, or can be adapted to the case where the vectors must be taken as they are, with no rotation permitted. (Modified author abstract)

Descriptors :   (*CORRELATION TECHNIQUES, VECTOR ANALYSIS), SAMPLING, MATRICES(MATHEMATICS), TRANSFORMATIONS(MATHEMATICS), GEOMAGNETISM

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE