# 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.

### Other articles related to "statistics":

Robert Solow - Biography
... Then he became interested in statistics and probability models ... a fellowship year at Columbia University to study statistics more intensively ... he taught courses in statistics and econometrics ...
Pensacola, Florida - Geography - Climate - Statistics
... Cantonment Clinch began providing meteorological observations in the 1830s ... Observations from the Pensacola area continued intermittently over the next several decades ...
Statistics Applied To Mathematics or The Arts
... Traditionally, statistics was concerned with drawing inferences using a semi-standardized methodology that was "required learning" in most sciences ... This has changed with use of statistics in non-inferential contexts ... by a distribution function may be transformed with familiar tools used in statistics to reveal underlying patterns, which may then lead to hypotheses ...

### 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)