Pretty flimsy, but interesting nonetheless.
http://www.slate.com/articles/sports/sports_nut/2015/01/ballghazi_the_new_england_patriots_lose_an_insanely_low_number_of_fumbles.html
I hope this goes away this week and the media can re-focus on what should be a banger game. From the press conference yesterday, it's clear Belichick wants it gone.
Here is an article with another statistical analysis (the Pats have a ridiculously high average number of total offensive plays per fumble, 73 versus the NFL average 48 or so)
http://www.wsj.com/articles/patriots-always-keep-a-tight-grip-on-the-ball-1422054846
Someone notes (in the comments) that the measure of fumbles per offensive play is meaningless, as a many, and sometimes most, offensive plays end in an incomplete pass (ie pass plays that are dropped, overthrown, underthrown, intercepted or broken up).
A more accurate measure is the number of fumbles per sum of _ total completed passes + total running plays_ (passes that don't end up in the receiver's possession will NEVER be fumbled). Not total number of offensive plays.
So based only on completed pass plays and running plays, New England are hardly outliers - Baltimore are first, the Pats second, Falcons 3rd, Packers 4th in a fairly orderly progression. In the raw statistics - simple "Fumbles per game" - a pure measure of fumbles, New England is tied for second with 2 other teams (Jacksonville and San Diego - Minnestoa is first). Its hardly an indication of a runaway lead in not fumbling. In fact, a lower QB rating could skew the fumble stats in the above graph down with more incomplete passes (they are statistically fumble-proof).
"There are 3 types of untruth - lies, damn lies and statistics".