What is the test for a claim of retaliation in violation of the First Amendment?

A viable claim of retaliation in violation of the First Amendment consists of five elements: "(1) An assertion that a state actor took some adverse action against an inmate (2) because of (3) that prisoner's protected conduct, and that such action (4) chilled the inmate's exercise of his First Amendment rights, and (5) the action did not reasonably advance a legitimate correctional goal." Rhodes v. Robinson, 408 F.3d 559, 567 (9th Cir. 2005); accord Watison v. Carter, 668 F.3d 1108, 1114 (9th Cir. 2012); Brodheim, 584 F.3d at 1269.