CronoDAS comments on Causality does not imply correlation - Less Wrong

13 Post author: RichardKennaway 08 July 2009 12:52AM

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Comment author: CronoDAS 08 July 2009 02:34:09AM 5 points [-]

The output of a pseudorandom number generator is determined by the seed value, but good luck finding a correlation between them! ;)

Comment author: SilasBarta 08 July 2009 05:17:35PM 8 points [-]

As per my comment here, there is no statistical correlation between the PRNG and the seed value, but there is mutual information.

When someone says "no correlation" to mean "no statistical correlation", people hear "no correlation", which invokes that clump of conceptspace in their minds which implies "no mutual information". But that isn't true. There are other ways for variables to be related than statistical correlation, and mutual information is one way, and this is an important distinction to make before you get all giddy!

Comment author: CronoDAS 08 July 2009 10:04:37PM 0 points [-]

Ah, yes, this clears things up... correlation and mutual information are the kind of things that can get confused easily.

Comment author: RichardKennaway 08 July 2009 01:08:54PM 0 points [-]

That is another way that correlations can fail to detect what is happening.