2 ms·
That brings up an interesting issue, which is that many systems do have more noise in y than in x. For instance, time series data from an analog-to-digital conv
by analog31 10mo ago
That brings up an interesting issue, which is that many systems do have more noise in y than in x. For instance, time series data from an analog-to-digital converter, where time is based on a crystal oscillator.
- GardenLetter27 10mo agoThis fact underlies a lot of causal inference.
- randrus 10mo agoI’m not an SME here and would love to hear more about this.
- jjk166 10mo agoWell yeah, x is specifically the thing you control, y is the thing you don't. For all but the most trivial systems, y will be influenced by something besides x which will be a source of noise no matter how accurately you measure. Noise in x is purely due to setup error. If your x noise was greater than your y noise, you generally wouldn't bother taking the measurement in the first place.
- bravura 10mo ago“ 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 10mo agoYou 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.