The Victorian coroner will examine police tactics involved in the shooting of a man who killed his son, Luke Batty, at a cricket oval last month.

Police fatally shot Greg Anderson, 54, of Chelsea Heights after he bashed and stabbed his 11-year-old son to death at Tyabb, south-east of Melbourne on February 12.

Anderson lunged at police with a knife as they tried to subdue him with capsicum spray.

At the time of Anderson's death, there were outstanding warrants for his arrest and pending criminal charges over the alleged assault of a flatmate.

Homicide detective Alan Birch will head up the coronial investigation into both Anderson and Luke's deaths.

He told the court four police officers attended the scene but made a tactical retreat.

The coroner heard Anderson was killed by a single shot to the chest.

The investigation will focus on whether police could have used alternative tactics such as a dog squad, critical response teams or Tasers.

It will also look at police training, policies on unexecuted warrants and also whether Anderson had received treatment for any mental illness.

State coroner Ian Gray has confirmed he will hold inquests into both deaths, but has not decided if they will be joined.

Among those to provide statements so far are Anderson's former partner and their 24-year-old son, as well as Anderson's former housemate.

Police have also spoken with the parents and children who were at the cricket ground and have identified five witnesses.

The inquest has been set down for October.