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|Home Statistics Distribution of the Correlation Coefficient|
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The correlation coefficient is one of the commonly used statistical measures. Despite its frequent use, the fact that the correlation coefficient shows a broad distribution if too few observations are used is not well-known.
This problem becomes worst when using only three or four observations for calculating the correlation. For example, if the actual correlation is zero, the correlation coefficient is distributed uniformly if only four observations are used (which means that the calculated correlation coefficient may in fact be any value between -1 and +1 with equal chances of occurrence).