The statement says Anderson is being fired for noncompliance with university policies that require full and timely reporting of disclosures of sexual conduct - including domestic violence - and prohibit employees from investigating disclosures of sexual misconduct themselves.

I have no idea what the incident was.  Clearly it was some type of sexual assault incident, and given the way the statement was written it would be reasonable to assume it involved some type of domestic violence incident (something between a player and a spouse/girfriend). 

Anyway, the incident occurred, and the coach became aware of it.  Instead of reporting it, Anderson probably went to the victim to talk to her.  Anderson probably has made the claim that he felt like he needed to do some type of investigation.  The victim is likely reporting back to the univiersity that Anderson wasn't so much interested in investigating.  Rather he was motivated to try to convince the victim to keep quiet about the incident.

Some variation of that scenario is most likely.  The timeline matches up with the staffer that murdered his wife and unborn child in Nashville last year, but that would be nuts for this to be related to that incident.  Anderson would have to have some knowledge that his employee murdered his wife, possibly pre-existing knowledge that it was going to happen.  It doesn't fit the statement the university put out.  How would Anderson have "investigated" that incident?

More likely it involves some local incident where it looks like Anderson may have tried to cover it up instead of reporting it.  When he got caught, he claims he was investigating the incident, not trying to get the victim to shut up.