• DocumentCode
    1404999
  • Title

    Extreme values from skewed distributions [mathematics education]

  • Author

    Ratz, Herbert C.

  • Author_Institution
    Dept. of Electr. & Comput. Eng., Waterloo Univ., Ont., Canada
  • Volume
    43
  • Issue
    4
  • fYear
    2000
  • fDate
    11/1/2000 12:00:00 AM
  • Firstpage
    400
  • Lastpage
    402
  • Abstract
    Data from observations that cannot have negative values, such as pollution concentrations, traffic counts, or time intervals, are generally asymmetric with positive skew. If problems are assigned involving confidence limits, or the chances of rare events, with such skewed data, then the use of Gaussian-based statistics can result in substantial error. The magnitude of the error depends upon the mean value of the data expressed in units of the standard deviation. A set of curves is given which provides a method for correcting the Gaussian based tests, or at least for estimating the possible magnitude of the error.
  • Keywords
    Gaussian distribution; engineering education; statistical analysis; statistics; Gaussian-based statistics; Gaussian-based tests correction; engineering mathematics education; engineers; extreme values; pollution concentrations; positive skew asymmetric data; skewed distributions; standard deviation; time intervals; traffic counts; Blood; Error analysis; Error correction; Gaussian processes; Pollution; Probability distribution; Statistical distributions; Tail; Testing; Traffic control;
  • fLanguage
    English
  • Journal_Title
    Education, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9359
  • Type

    jour

  • DOI
    10.1109/13.883349
  • Filename
    883349