jimrandomh correctly pointed out to be that precision can have it’s own value for various kinds of comparison. I think he’s right. If A and B are each biased estimators of ‘a’ and ‘b’ but their bias is consistent (causing lower accuracy) but their precision is high, then I can make comparisons between A/a and B/b over time and between each other in ways I can’t even if the estimators were less biased but higher noise.
Still though it’s here is that the estimator is tracking a real fixed thing.
If I were to try to improve my estimator, I’d look at the process as a whole it implements and try to improve that rather than just trying to make the answer come out the same.
jimrandomh correctly pointed out to be that precision can have it’s own value for various kinds of comparison. I think he’s right. If A and B are each biased estimators of ‘a’ and ‘b’ but their bias is consistent (causing lower accuracy) but their precision is high, then I can make comparisons between A/a and B/b over time and between each other in ways I can’t even if the estimators were less biased but higher noise.
Still though it’s here is that the estimator is tracking a real fixed thing.
If I were to try to improve my estimator, I’d look at the process as a whole it implements and try to improve that rather than just trying to make the answer come out the same.