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Below you will find descriptions and details for the 5 formulas that are used to compute p-values for Pearson correlation coefficients.

Beta function:

Lower incomplete beta function:

Regularized lower incomplete beta function:

where the numerator is the lower incomplete beta function, and the denominator is the beta function.

t-distribution cumulative distribution function (CDF):

where

t-value for a Pearson correlation:

where

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