I guess my memory was rusty with the actual wording (egress), but here it is right out of the book. It's pretty clear that normal force is justified to make the citizen's arrest after the fact, but deadly force is not.
4. A private person acting on his own account may use physical force,
other than deadly physical force, upon another person when and to the
extent that he reasonably believes such to be necessary to effect an
arrest or to prevent the escape from custody of a person whom he
reasonably believes to have committed an offense and who in fact has
committed such offense; and he may use deadly physical force for such
purpose when he reasonably believes such to be necessary to:
(a) Defend himself or a third person from what he reasonably believes
to be the use or imminent use of deadly physical force; or
(b) Effect the arrest of a person who has committed murder,
manslaughter in the first degree, robbery, forcible rape or forcible
sodomy and who is in immediate flight therefrom.
According to my (and a 24-yr retired NY Police officer I know) interpretation of the entire article, arrest powers between a citizen and a peace officer only differ in that a peace officer can make an arrest based on probable cause (or is it reasonable suspicion?), whereas a citizen must witness the actual crime.
But, this is just NYS, YMMV.
ETA: Link http://ypdcrime.com/penal.law/article35.htm