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.
Citation
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
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