" /> Canonical Correlation Analysis - CISMeF





Preferred Label : Canonical Correlation Analysis;

MeSH definition : Mathematical procedure that transforms vectors of variables into canonical variate pairs and finds their correlation to describe strength of association.;

Définition CISMeF : In statistics, canonical-correlation analysis (CCA), also called canonical variates analysis, is a way of inferring information from cross-covariance matrices. If we have two vectors X (X1, ..., Xn) and Y (Y1, ..., Ym) of random variables, and there are correlations among the variables, then canonical-correlation analysis will find linear combinations of X and Y which have maximum correlation with each other. T. R. Knapp notes that virtually all of the commonly encountered parametric tests of significance can be treated as special cases of canonical-correlation analysis, which is the general procedure for investigating the relationships between two sets of variables. The method was first introduced by Harold Hotelling in 1936, although in the context of angles between flats the mathematical concept was published by Jordan in 1875 (source https://en.wikipedia.org/wiki/Canonical_correlation).;

MeSH synonym : Analysis, Canonical Correlation; Canonical Correlation Analyses; Correlation Analysis, Canonical;

CISMeF acronym : CCA;

Related MeSH term : Canonical Correlations; Correlation, Canonical; Canonical Variates; Variate, Canonical;

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Mathematical procedure that transforms vectors of variables into canonical variate pairs and finds their correlation to describe strength of association.
In statistics, canonical-correlation analysis (CCA), also called canonical variates analysis, is a way of inferring information from cross-covariance matrices. If we have two vectors X (X1, ..., Xn) and Y (Y1, ..., Ym) of random variables, and there are correlations among the variables, then canonical-correlation analysis will find linear combinations of X and Y which have maximum correlation with each other. T. R. Knapp notes that virtually all of the commonly encountered parametric tests of significance can be treated as special cases of canonical-correlation analysis, which is the general procedure for investigating the relationships between two sets of variables. The method was first introduced by Harold Hotelling in 1936, although in the context of angles between flats the mathematical concept was published by Jordan in 1875 (source https://en.wikipedia.org/wiki/Canonical_correlation).

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03/05/2025


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