cov2corr

Convert covariance to standard deviation and correlation coefficient

Syntax

[ExpSigma,ExpCorrC] = cov2corr(ExpCovariance)

Arguments

ExpCovariance

n-by-n covariance matrix; for example, from cov or ewstats. n is the number of random processes.

Description

[ExpSigma,ExpCorrC] = cov2corr(ExpCovariance) converts covariance to standard deviations and correlation coefficients.

ExpSigma is a 1-by-n vector with the standard deviation of each process.

ExpCorrC is an n-by-n matrix of correlation coefficients.

ExpSigma(i) = sqrt(ExpCovariance(i,i))
ExpCorrC(i,j) = ExpCovariance(i,j)/(ExpSigma(i)*ExpSigma(j))

Examples

Convert Covariance to Standard Deviations and Correlation Coefficients

This example shows how to convert a covariance matrix to standard deviations and correlation coefficients.

ExpCovariance = [0.25 -0.5
                -0.5   4.0];

[ExpSigma, ExpCorrC] = cov2corr(ExpCovariance)

ExpSigma = 1×2

    0.5000    2.0000

ExpCorrC = 2×2

    1.0000   -0.5000
   -0.5000    1.0000