Many research studies involving Pearson correlations are conducted in settings where one of the two variables has a restricted range in the sample. For example, this situation occurs when tests are used for selecting candidates for employment or university admission. Often after selection, there is interest in correlating the selection variable, which has a restricted range, to a criterion variable. The focus of this research was to evaluate the effectiveness of different methodologies using Monte Carlo simulation when the assumption of normal distribution is disturbed in a particular way.