there are two metrics that are already implemented:
Recall Parity: same as Equal Opportunity Difference.
False Positive Rate Parity: already used in Equalised Odds without exposing it to the end user.
The other two metrics we are planning to implement are:
Predictive Rate Parity: Compares Positive Predictive Value (Precision Score)
Group Benefit Disparity: Compares the rate at which a particular event is predicted to occur within a subgroup compared to the rate at which it actually occurs.