It is always difficult to compare accidents rates for 'rare' events due to the 
wide 95% confidence intervals.
http://www.evanmiller.org/ab-testing/poisson-means.html

As mentioned by others, there often needs to be an order of magnitude 
difference (i.e. a 10 tenfold increase or decrease of an accident rate) to 
demonstrate statistical significance at the 95% level (this also means that 
there is a 5% chance of accepting a chance variation as being significant). It 
is not lies and damned statistics, but a 5% chance that the result is in error 
(using commonly accepted practice).

See:
https://en.wikipedia.org/wiki/Poisson_distribution

Comments from statisticians welcome.

Mark Newton's comments about threat and error management are very useful!
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