3 ms·

You are trying to add in a factor effect and call it an outlier. Its just unmodeled variation.

• civilized 4y ago
  Are you sure you know the difference between an outlier and a point that is far out of the distribution of the other points because of unmodeled variation? Just because you have a name for something doesn't mean it doesn't have other names as well.
  • uoaei 4y ago
    Anyone who knows what they're doing would describe it as a probabilistic model, which necessarily includes likelihoods and confidence bounds with probabilities other than 0 or 1. There is a certain probability that it is a part of one distribution, and an inverse probability that it is part of another distribution. Statisticians worth their salt will not state certainties as you seem to demand.
    • civilized 4y ago
      Hmm, I'm not sure where I demanded a certainty?
      • uoaei 4y ago
        > the difference between an outlier and a point that is far out of the distribution of the other points because of unmodeled variation The phrasing implies mutual exclusivity here, which thus implies probability one of a data point belonging to one set and probability zero of that point belonging to the other set. To be fair, in natural language it tends to be difficult to unambiguously represent ambiguity.
        • civilized 4y ago
          I wasn't drawing a dichotomy between "an outlier and a point that is far out of the distribution of the other points because of unmodeled variation". I was suggesting that they may be the same thing.