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Multivariate correlation analysis plays an important role in various fieldssuch as statistics, economics, and big data analytics. In this paper, wepropose a pair of measures, the unsigned correlation coefficient (UCC) and theunsigned incorrelation coefficient (UIC), to measure the strength ofcorrelation and incorrelation (lack of correlation) among multiple variables.The absolute value of Pearson's correlation coefficient is a special case ofUCC for two variables. Some important properties of UCC and UIC show that theproposed UCC and UIC are a pair of effective measures for multivariatecorrelation. We also take the unsigned tri-variate correlation coefficient asan example to visually display the effectiveness of the proposed UCC, and thegeometrical explanation of UIC is also discussed. All the properties and thefigures of UCC and UIC show that the proposed UCC and UIC are the generalmeasures of correlation for multiple variables.

Measures of Correlation for Multiple Variables