[bravura]

“ If your x noise was greater than your y noise, you generally wouldn't bother taking the measurement in the first place.”

Why not? You could still do inference in this case.

[jjk166]

You could, and maybe sometimes you would, but generally you won't. If at all possible, it makes a lot more sense to improve your setup to reduce the x noise, either with a better setup or changing your x to be something you can better control.