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Normally distributed data errors

  1. Sep 9, 2011 #1
    1. The problem statement, all variables and given/known data
    Hello

    If my data errors are normally distributed, is this the same as the data being normally distributed? I mean, by "normally distributed data errors" is meant that with 68% confidence the data lies within the true value?
     
  2. jcsd
  3. Sep 11, 2011 #2

    Stephen Tashi

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    Science Advisor

    Re: Statistics

    You aren't expressing your question clearly. It isn't clear whether you have a set of measurements (such the heights of various persons) or a set of vectors of measurements (such as the height and weight of various persons). So it isn't clear what a "data error" would be.

    For example, if we use the rather strange terminology that the average height h_bar of the population is the "true" height, then for a person's height h, we could call h - h_bar an "error". However, I don't think most people regard deviating from the average as an error.

    If we have an equation H(.) that attempts to predict a persons height from their weight then for a given person with weight w and height h, we could call the quantity (h - H(w)) an "error" since it is an error in in how the equation predicts the weight.
     
    Last edited: Sep 11, 2011
  4. Sep 12, 2011 #3
    Re: Statistics

    I think I get it. My original question got answered by your post, even though my question is poorly formulated.

    Thanks!
     
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