Six Sigma and Beyond: Statistics and Probability, Volume III
The Pearson product-moment coefficient of correlation or the Pearson r , as it is sometimes called, was derived by the English statistician Karl Pearson. It is the most popular measure of correlation for measuring the linear relationship between two numerically valued random variables . In order to use this parametric measure, we assume the scores on each variable come from a normally distributed population. The requirements for the Pearson r are as follows :
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Relationship is linear.
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Scores of the population form a normal distribution curve.
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Scattergram is homoscedastic.
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Scores are at interval level of measurement.