Anomalistics is a noun that refers to the use of scientific methods to try and find a rational explanation for seemingly unusual phenomena. 

An anomaly refers to something that deviates from the norm. Its origin is the Greek word anomilos (ah NO me losse) which means ‘against the laws or norms.’ A study of something abnormal to understand it is called anomalistics. Example:

Even after years of anomalistics, the group of scientists couldn’t understand the social phenomenon taking place in town. Apparently, some strange behavior can never be fully understood.