>From Moore and McCabe, Introduction to the Practice of Statistics (2003) p. 46

--------------

The interquartile range IQR is the distance between the first and third 
quartiles.
IQR = Q3 - Q1

The 1.5 x IQR Criterion for Outliers
Call an observation a suspected outlier if it falls more than 1.5 x IQR above 
the third quartile or below the first quartile.

---------------

(You should informally investigate suspected outliers, looking for a reason to 
throw them out.)

Kip Murray

Sent from my iPad


On Jan 9, 2012, at 6:49 PM, Roger Hui <[email protected]> wrote:

> I wonder if there are well-known techniques in statistics for dealing with
> the following problem.
> 
>      t
> 11 10 10 10 10 11 10 10 10 10 9 11 10 11 10 10 11 10 11 10 11 10 10
>      11 10 11 10 10 10 11 10 74 11 11 14 11 11 10 12 11 15 14 12 11
>      11 11 11 11 10 12 11 11 11 10 11 11 11 10 11 11 10 11 161241 49
>      32 12 11 11 12 10 11 10 12 11 12 11 11 12 11 11 12 11 11 11 12
>      11 11 12 11 11 11 11 11 11 11 10 11 11 12 12
> 
> t is a set of samples from a noisy source which is supposed to give the
> same integer answer.  Obviously, 161241 is an "outlier", and it is likely
> that 74, 49, or even 32 are outliers too.  Are there standard techniques
> for discarding outliers to clean up the data, before the application of
> statistical tests such as the means test or large sample test?
> ----------------------------------------------------------------------
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