Dave Weigel provides a helpful primer on Six Sigma, a popular two-day business seminar. Jim Manzi explains Gingrich's thinking:
I assume that Gingrich’s real purpose in calling for this is to connect with the huge swath of Republican primary voters who work in or around Fortune 1000 companies. They can hear him saying things that they hear at work every day, but that they never hear politicians mention. This makes Gingrich seem more practical and connected to their world, and less a creature of what they take to be out-of-touch Washington. I’ve informally observed that Gingrich has used something like this technique for many years, probably effectively in terms of the politics.