# How to test whether correlation measures differ when controlling or not for a third variable?

If the correlation between demographic dissimilarity and satisfaction is $r=.-14$ and the partial correlation, with career development partialled out, between demographic dissimilarity and satisfaction is $r=-.06$ across a very large sample of size $n$, what is the appropriate test to determine if these correlations are significantly different?

Steiger (1980) appears to be the authoritative article on this but the article and most other sources assume one is comparing the correlation between x/y and v/y with dependent groups. This one has stumped our school's statistic resource center.