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February 2008 Using Correlation in Studies of Studies
Alan Safer, Saleem Watson
Missouri J. Math. Sci. 20(1): 33-39 (February 2008). DOI: 10.35834/mjms/1316032833

Abstract

Let $X$, $Y$, and $Z$ be random variables. If $X$ is positively correlated to $Y$ and $Y$ is positively correlated to $Z$, it does not necessarily follow that $X$ is positively correlated to $Z$. In this article we find ranges for the correlation coefficients $r_{XY}$ and $r_{YZ}$ that guarantee that $X$ and $Z$ have a specified level of correlation. We explore the implications of these results to finding relationships between variables investigated in different studies.

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Alan Safer. Saleem Watson. "Using Correlation in Studies of Studies." Missouri J. Math. Sci. 20 (1) 33 - 39, February 2008. https://doi.org/10.35834/mjms/1316032833

Information

Published: February 2008
First available in Project Euclid: 14 September 2011

zbMATH: 1134.62039
Digital Object Identifier: 10.35834/mjms/1316032833

Subjects:
Primary: 62H20

Rights: Copyright © 2008 Central Missouri State University, Department of Mathematics and Computer Science

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Vol.20 • No. 1 • February 2008
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