se.biphi: Computes the standard error for a biserial-phi correlation
Description
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.
Usage
se.biphi(f1, f2, n1, n2)
Value
Returns a 1-row matrix. The columns are:
Estimate - estimated biserial-phi correlation
SE - standard error
Arguments
f1
number of participants in group 1 who have the attribute
f2
number of participants in group 2 who have the attribute