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# Biserial Correlation Coefficient

Explanations > Social ResearchAnalysis > Biserial Correlation Coefficient

## Description

The Biserial Correlation Coefficient is used where there are two sets of scores for the same people or for two matched groups.

It is calculated as:

Rb = ( (M1 - M2) * p1p2 ) / ZSy

where M1 and M2 are the means of the two groups. p1 and p2 are the proportions of the two groups form of the total. Sy is the standard deviation on the continuous variable as a whole and Z is the Z-score from a table of the normal distributions for p1 or p2, whichever is smaller.

## Discussion

This coefficient should not be used if p1 or p2 is larger than 0.9 (and is shaky if close to this).

## See also

Correlation

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