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An Analysis Of The Impact Of An Outlier On Correlation Coefficients Across Small Sample Data Where Rho Is Non-Zero, Maria A. Suchowski

Dissertations

This study addressed the problem o f the probable effectiveness o f the Pearson correlation coefficient (r) as an estimator o f moderate or strong population correlation (rho) when that estimate is based on small sample data which contains an outlier. In such a situation, three components contribute to the size o f a sample correlation coefficient, and so to the subsequent effectiveness o f the resulting estimation decision. These components are 1) rho, 2) sample size, and 3) outlier. Considered in this study were: two conditions o f rho (.5 and .8), three sample sizes (10, 30 and 50) …