Police are continuing to investigate whether a man threw his 18-month-old daughter into an Oakland street on Saturday or whether the toddler ran into the street on her own, Oakland police spokeswoman Holly Joshi said today.At 5:39 p.m., an off-duty Oakland police officer saw a man, later identified as 21-year-old Oakland resident John Taylor, pick up his 18-month-old daughter and shake her. Seconds later, the toddler was in the street, where she was run over by a car.The incident happened on Fifth Avenue just south of East 15th Street. Joshi said police are still trying to determine how the child ended up in the street.The officer, a 13-year veteran of the Oakland Police Department, rendered aid to the child and then chased down Taylor, who had run away and started attacking motorists at the intersection of Fifth Avenue and International Boulevard, police said. The officer saw the suspect in a violent scuffle with several people and attempted to intervene, police said.As Taylor allegedly began attacking the off-duty officer, uniformed officers arrived at the scene and used a Taser to subdue him, police said.He was arrested on suspicion of several charges, including child abuse and child endangerment, and taken to a hospital for treatment of a head injury. He is expected to survive, Joshi said.The suspect later admitted to his involvement in the incident, police said.The toddler is expected to recover from her injuries.The off-duty officer was not seriously injured, Joshi said.