I am currenty doing a fraud detection analysis. I have 2 groups of data points with several features that I create myself. 1 group is fraud people and another group is non fraud.
I found out that the features are mostly similar between the 2 groups that it is hard to distinguish the group based on these features. If I map the datapoint in 2D space, the points are overlapping. There is still very slight difference we can observe between the features.
My main objective is to find a feature that best distinguish the 2 groups. Is there any test that I can use to support my hypothesis for this problem? Or is there any other statistical approach I can use for this problem?
Sorry for the very general question. I am just starting in the field of statistics. I tried to make it more specific with questions I got from you.