Computes an estimate of a biserial-phi correlation and its standard error using the frequency counts from a 2 x 2 contingency table where one variable is naturally dichotomous and the other variable is artifically dichotomous. The biserial-phi correlation approximates a point-biserial correlation between the naturally dichotomous variable and the unobserved quantitative variable that was measured on a dichotomous scale. A biserial-phi correlation biserial-phi estimate and the standard error from this function can be used as input in the meta.ave.cor.gen function in a meta-analysis where a point-biserial correlation has been obtained in some studies and a biserial-phi correlation has been obtained in other studies.