List of Paradoxes - Mathematics - Statistics

Statistics

  • Accuracy paradox: predictive models with a given level of accuracy may have greater predictive power than models with higher accuracy.
  • Berkson's paradox: a complicating factor arising in statistical tests of proportions.
  • Freedman's paradox describes a problem in model selection where predictor variables with no explanatory power can appear artificially important
  • Friendship paradox: For almost everyone, their friends have more friends than they do.
  • Inspection paradox: Why one will wait longer for a bus than one should.
  • Lindley's paradox: Tiny errors in the null hypothesis are magnified when large data sets are analyzed, leading to false but highly statistically significant results.
  • Low birth weight paradox: Low birth weight and mothers who smoke contribute to a higher mortality rate. Babies of smokers have lower average birth weight, but low birth weight babies born to smokers have a lower mortality rate than other low birth weight babies. (A special case of Simpson's paradox.)
  • Will Rogers phenomenon: The mathematical concept of an average, whether defined as the mean or median, leads to apparently paradoxical results — for example, it is possible that moving an entry from an encyclopedia to a dictionary would increase the average entry length on both books.

Read more about this topic:  List Of Paradoxes, Mathematics

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Famous quotes containing the word statistics:

    We ask for no statistics of the killed,
    For nothing political impinges on
    This single casualty, or all those gone,
    Missing or healing, sinking or dispersed,
    Hundreds of thousands counted, millions lost.
    Karl Shapiro (b. 1913)

    O for a man who is a man, and, as my neighbor says, has a bone in his back which you cannot pass your hand through! Our statistics are at fault: the population has been returned too large. How many men are there to a square thousand miles in this country? Hardly one.
    Henry David Thoreau (1817–1862)

    and Olaf, too

    preponderatingly because
    unless statistics lie he was
    more brave than me: more blond than you.
    —E.E. (Edward Estlin)