As much as it might be fun to generalise and beat up on statistics, lets
clear up a few points:
i) The word statistics refers to: an area of mathematical study; a single
piece, or group, of numerical data which describes a characteristic of some
object; and a set of methods use in the analysis of said data.
ii) Whilst numerical data is generally considered to be factual, the quality
of the methodology used, the assumptions made about that data, the
objectivity of the statistician, and the quality of the conclusions all
affect how accurately the resulting description of the object of study
reflect reality;
iii) the usefulness of quantitative analysis should not be confused with the
quality of some particular piece of analysis. Just because I make aweful
sketches doesn't mean sketching is a bad idea (it just means you should hide
the pencils & crayons from me).
iv) You don't need a statistician to analyse quantitative data, but it
certainly helps in some circumstances, particularly when dealing with
complex statistical analysis;
v) A small sample does not mean your data is useless (or an anecdote). It
just means that the margin of error in any conclusions that you draw might
be so great as to render the result meaningless in the context of your
inquiry.
vi) A large sample does not create inherently 'better' results. It does give
you more data to work with, and it does reduce the margin of error.
vii) There is no single statistical method that makes your analysis more or
less correct. Different techniques will provide different insights.
viii) You can never be 100% certain when dealing with statistics or
statistical analysis. The whole point is not to be certain, but to be able
to quantify the uncertainty.

I do encourage everyone to learn more about statistics, and particularly
about how to critically assess the quality of statistical analysis when it's
presented to you.

To the OP, analytics fall under the UX purview in my team, but that's
because I prefer to do my own analysis. I can see how that might not be the
case in other environments, but I would definitely suggest the UX team gains
access to the outputs from whoever does handle it.

Regards
Steve

----------------------------------------------
Steve 'Doc' Baty B.Sc (Maths), M.EC, MBA
User Experience Strategist
M: +61 417 061 292

Member, UPA - www.upassoc.org
Member, IxDA - www.ixda.org
Member, Web Standards Group - www.webstandardsgroup.org
Contributor, UXMatters - www.uxmatters.com
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