My mom was a registered nurse in Canada, and on every full moon the emergency room would get more emergencies, the mental health facility would get more check ins, and the patients for mental illness were usually more agitated.
This perception may have been because of expectations, however, and not fact. But who knows?
I have never heard of agitation occurring on the new moon. We all know about various rituals held at these times, which are considered significant.
Supposedly there are energies that can be used for various purposes at these times.