NEW YORK — A hearing for Ray Rice appealing his NFL suspension concluded Thursday after two days and testimony from the former running back and the head of the league.

Rice and his wife Janay Rice left the hearing separately on Thursday about three hours apart after each testified at the New York office of a neutral arbiter. The arbitration hearing will determine whether the NFL overstepped its authority in modifying a two-game suspension of Rice, making it indefinite after video of the running back hitting his wife was released by TMZ.

“I can trust it’s a fair process,” said Rice’s attorney, Peter Ginsberg.

Two people familiar with the case said Thursday there’s no timetable for the former federal judge presiding over the case to make her decision, though one person said she has asked the sides to submit closing briefs next week. Both spoke to The Associated Press on condition of anonymity because the arbiter has told the sides not to discuss details of the private hearing.

NFL Commissioner Roger Goodell testified for more than two hours to start Rice’s appeal hearing on Wednesday, according to one of the sources. Ray and Janay Rice attended the full hearing on Wednesday.

AP Analysis: NFL HGH blood-testing setup has flaws: Exactly one month has passed since the NFL instituted blood testing for human growth hormone — a test experts say is almost impossible to fail.

An AP analysis of the testing protocol approved by the league and the NFL Players Association after more than three years of wrangling found that only the most reckless or uninformed player would seem to have a chance of getting caught using HGH.

Of nearly 2,800 HGH tests from various sports analyzed last year at labs accredited by the World Anti-Doping Agency, zero turned up positive.

Vikings

NFL says Peterson must wait for review process: The NFL has formally begun a review of Minnesota Vikings running back Adrian Peterson’s case, for potential punishment under the league’s personal conduct policy.

Spokesman Brian McCarthy said Peterson was told by the NFL on Thursday that his status on paid leave from the Vikings will not change until completion of the process.

That means Peterson’s return could take a while. He pleaded no contest in Texas on Tuesday to misdemeanor reckless assault, down from a felony charge of child abuse for disciplining his 4-year-old son with a wooden switch.

The league said it requested that Peterson submit relevant information from his case and meet with designated experts who will make recommendations for Commissioner Roger Goodell’s consideration.