Bimultivariate Redundancy: A Comprehensive Measure of Interbattery Relationship
Multivariate Behavioral ResearchPublished 1 July 1971
John K. Miller, S. David Farr
Citations68
SJR quartileQ1
SJR score2.71
SNIP2.12
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Abstract
Abstract A generalized algorithm for estimating the proportion of total variance that one multivariate measurement battery explains in another is described. The generality of the algorithm is exemplified empirically by comparing and contrasting solutions based on alternative methods of orthogonalizing the same basic data. The results observed on the computed examples underscore 3 important characteristics of measures of interbattery association.
Keywords
MathematicsEngineering
PsychometrikaLinear Correlations between Sets of Variables
68 Citations1965William W. Rozeboom
While the traditional multiple correlation coefficient appears to be inherently an asymmetrical statistic, it is actually a special case of a more general measure of linear relationship between twosets of variables that rest upon the generalized variance of a multivariate distribution.