Sunday, June 16, 2013

probability ^ statistics, hearsay

http://www.cs.sunysb.edu/~skiena/jaialai/excerpts/node12.html points out that

* P is about future; S is about past. Same as Chen Wei's view.
** Here's a longer version. Both try to estimate the frequency of some event happening. P tries to predict the exact likelihood; S analyzes historical data to compute the frequency.
* P is theoretical; S is applied math dealing with real data
** P deals with an idealized world; S deals with real world data -- often biased.
** [1] I believe if the real world data volume is very large and unbiased (like throwing thousands of coins many times) then the statistical conclusions should match the probability theory.

http://www.shodor.org/interactivate/discussions/ProbabilityVsStatis/ points out

- Statistics deals with data that may or may not be useful for finding probability. See my comments in [1].
- Statistics data can also be useful by itself, without any connection to probability.

Given the stringent requirement of probability, most stats data isn't useful. But beyond probability, everyday a lot of these data are consumed and used to make important decisions.

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