It's erroneous to equate "empirical" with "experimental" or "quantitative". Those terms don't have a relationship like 4 = 4.0. Your example in your second sent

It's erroneous to equate "empirical" with "experimental" or "quantitative". Those terms don't have a relationship like 4 = 4.0. Your example in your second sentence is an example of equating empirical with quantitative. Empirical makes more sense when you contrast empiricism with rationalism. It's a split between things you observe and things you think. If you're doing chemistry calculations, that's not empirical but it is quantitative. If you're pouring stuff into beakers and writing down what you see, it is empirical and quantitative.