[jvanderbot]

You're talking about a specific measurement, not a derived measurement from statistical analysis, though, right? Is there an instrument? If not, we're not talking about precision or accuracy, we're talking about variance about the mean, and the mean is assumed to move towards true.

In that case, the assumption is zero mean error b/c systemic errors average out, so the accuracy is the mean minus true, and the precision is established by the Cramer rao lower bound, and estimated my the posterior variance about the mean. My point is that calling it anything but a statistical certainty (e.g. confidence interval) is just jargon.

[zmgsabst]

You can’t derive the correct value if all your measurements are (eg) +1ns due to inaccurate path length in your model.

Your collection of measurements will converge, just as if you had built the device you intended to — but they’ll converge to the wrong value, because you’re measuring the time incorrectly every measurement, and so averaging that out doesn’t do anything.

Your test is precise but inaccurate.

The whole context of this is about a specific instrument measuring electron properties — or in my example, timing neutrino flights. So… yes, we’re talking about precision and accuracy.

[jvanderbot]

You're explaining accuracy vs precision, which I get.

The answer actually was: Yes, there's only one instrument. So yes, you can't average out systemic biases. So yes, I guess you can say something about

"We measure eccentricity zero with 1 part in 1E+17, which is really precise, but you'll just have to trust us it's also accurate."

Anyway, we know what everyone meant.