Correlation coefficients are indicators of the strength of the linear relationship between two different variables, x and y. A linear correlation coefficient that is greater than zero indicates a ...

What Is the Correlation Coefficient? The correlation coefficient is a metric that measures the strength and direction of a relationship between two securities or variables, such as a stock and a ...

Correlation coefficients range from -1 to +1, indicating the strength of relationships between variables. Investors use correlation coefficients for portfolio diversification to reduce risk.

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In the first case, there is a strong upward-sloping relationship between X and Y; in the second case, no apparent relationship; in the third case, a strong downward-sloping relationship. Note the ...

Canonical correlation was developed by Hotelling (1935, 1936). Its application is discussed by Cooley and Lohnes (1971), Kshirsagar (1972), and Mardia, Kent, and Bibby (1979). It is a technique for ...

The Annals of Statistics publishes research papers of the highest quality reflecting the many facets of contemporary statistics. Primary emphasis is placed on importance and originality, not on ...

Recurrence formulae for the density function and the probability integral of the multiple correlation coefficient from a normal sample are obtained. When the number of independent variates is odd ...

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