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r - How are asymptomatic p-values calculated in Hmisc: rcorr?

I am using the rcorr function within the Hmisc package in R to develop Pearson correlation coefficients and corresponding p-values when analyzing the correlation of several fishery landings time series. The data isn't really important here but what I would like to know is: how are the p-values calculated for this? It states that the asymptotic P-values are approximated by using the t or F distributions but I am wondering if someone could help me find some more information on this or an equation that describes how exactly these values are calculated.

question from:https://stackoverflow.com/questions/65945840/how-are-asymptomatic-p-values-calculated-in-hmisc-rcorr

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