Consider an alcohol and an amine compound with roughly the same molar mass. If I understand correctly, the boiling point for the alcohol is greater for two reasons:
The $\ce{O-H}$ bond is more polar than $\ce{N-H}$ because oxygen is more electronegative than nitrogen.
The oxygen atom has two lone pairs of electrons to act as hydrogen acceptors, whereas the nitrogen has only one.
The question is, which one of these reasons (if they are valid) contributes more to the increase in boiling point?