Here's my Solution:
ALL Games should be archived by the NFL and submitted to a "Officials Review Panel" consisting of 15-20 qualified league officials/arbitrators.
The Panel then reviews each game three times. Tuesday, Wednesday and Thursday.
Tuesdays are spent reviewing Flagged Plays (both accepted AND declined penalties).
Wednesdays are spend doing "Ghost Officiating", meaning they watch the film as if they are refs during the game looking to see any calls that were NOT flagged.
Thursday is "Evaluation Day". If it's determined that a referee made an error in throwing a flag on more than 2 plays, they receive a fine equal to their pay rate of 7% of a Gameday check.
(It takes me about 30 minutes to review a game on the ALL-22 Camera, and that's with my baby daughter drooling on my lap)
An allowance of 2 missed calls are given to every referee. If it's determined from Ghost Officiating that a ref missed more than 3 calls (ie. a non-call), they receive a fine equal to the pay rate of 10% of a Gameday check. If a referee is fined more than 5 times in a season, he is suspended for 2 weeks.
If a referee is suspended three times in one season, they are exiled from the NFL indefinitely.
The league can get a large portion of the funding for this Review Panel from the fine money they receive from the players each week.
[ Edited by SaksV on Feb 6, 2014 at 7:22 PM ]