addition of a zero tolerance criterion through the PTI test would be a benefit or not.
A fixed zero tolerance criterion has been shown to degrade parametric tests, and this effect escalates with the sample size. This is simply due to the fact that if you introduce a nonparametric criterion, such as a zero tolerance criterion to a parametric test, that will convert the test from being parametric to being nonparametric and you will lose the efficiency.
So a zero tolerance criterion must scale with the sample size in order to avoid degrading the parametric test and to have no effect on producer risk. We have shown that such a scaled zero tolerance criterion has little or no effect on consumer protection, even for the most extreme non-normal distributions. So our conclusion is that zero tolerance does not help control product quality.
And this is just to illustrate my point and we can look at the lower row here. First, I'll tell you that this is the acceptance rate at the limiting quality, the 85 percent coverage. So the acceptance rate figures are given here with the zero tolerance criterion and without