This analysis really makes it look like this Deflate-gate business has been going on for years: http://www.sharpfootballanalysis.com/blog/
"In 2006, Tom Brady (and Peyton Manning) lobbied in favor of changing a NFL rule, and as a result, the NFL agreed to change policies. Brady wanted the NFL to let EVERY team provide its OWN footballs to use on offense, even when that team was playing on the road. Prior to that year, the HOME team provided ALL the footballs, meaning the home quarterback selected the footballs the ROAD quarterback would play with on offense.
Brady’s quote at the time, when pushing for the change was: “The thing is, every quarterback likes it a little bit different. Some like them blown up a little bit more, some like them a little more thin, some like them a little more new, some like them really broken in.”
Based on the assumption that plays per fumble follow a normal distribution, you’d expect to see, according to random fluctuation, the results that the Patriots have gotten since 2007 once in 5842 instances.
Which in layman’s terms means that this result only being a coincidence, is like winning a raffle where you have a 0.0001711874 probability to win. In other words, it’s very unlikely that results this abnormal are only due to the endogenous nature of the game."