Monte Carlo simulations are used to investigate the effect of two factors, the amount of variability and an outlier, on the size of the Pearson correlation coefficient. Some simulation algorithms are developed, and two theorems for increasing or decreasing the amount of variability are suggested.
Eledum, H. Y. (2017). A Monte Carlo Study of the Effects of Variability and Outliers on the Linear Correlation Coefficient. Journal of Modern Applied Statistical Methods, 16(2), 231-255. doi: 10.22237/jmasm/1509495180