Which is a failure rate of 4.5 sigma. Better to have a catchy name, than to be mathematically precise in naming your statistical quality improvement program, obviously.
It is worth noting that Motorola moved on from Six Sigma starting about 1991. GE, under Jack Welch, was an adopter, and many Jack Welch worshiping CEOs followed suit. Post Welch, GE is using Six Sigma…not so much.
And that is just the start of the bullshit. My experience in three different companies is that it has never been anything more than busy-work eyewash. When Larry Bossidy (a Jack Welch protege’) announced his Six Sigma implementation initiative via a video-taped message to AlliedSignal employees, the ONLY reason he gave is that he hoped it would impress Wall Street and bump the stock price. Neither product quality, nor yield were apparently any sort of goal.
There was a mention up-thread of of “design of experiments” (but not by that name.) In every case this requires that you start by deciding which process variables matter, and which can be ignored. In other words, you have to understand how the variables impact the process. In which case you aught to be able to analyze the process by traditional means, instead of the DoE methodology that often resolves to either a local minimum/maximum, or a boundary condition. It is an essential truth that if you understand something well enough to get good DoE results, you don’t need DoE.
One great proponent of DoE was Genichi Taguchi, and “The Taguchi Method” is a widely used DoE technique. But Taguchi’s work does not withstand scrutiny. His most used example is that of optimizing a voltage regulator. But it turns out his “optimization” results in a circuit that doesn’t regulate at all, because he started out by assuming constant supply voltage, and constant load current…which are the very things, variations of, that a voltage regulator circuit is intended to counter. If you hold those constant, then the entire circuit can be replaced by a single resistor. Further, Taguchi’s optimization was to replace precision resistors with transistors with tightly controlled “Beta” parameters. Beta in a typical transistor has a -50 +100% spread. It is really hard to control, and EE’s work around that. If you want a tighter value, you test individual components and select for what you want…but Taguchi claimed that his technique would result in so much savings that you were taking food from the mouths of widows and orphans if you didn’t follow them.
My personal hero, Bob Pease explains it in detail here, but you probably need to be a EE to follow him.