On Mon, 11 Nov 2013, Michael Britt went:

I did a survey which asked respondents how satisfied they are in
their current (romantic) relationship on a 1=10 point scale (where
10="very satisfied).  While there was some variation, not
surprisingly, the results are strongly negatively skewed.  That makes
sense - most people are probably satisfied with their relationships
or they would leave the other person

So you've got yourself the mirror image of one of these:

<http://psycnet.apa.org/psycinfo/1983-09462-001>

|The insidious L-shaped distribution.
|Bradley, James V.
|Bulletin of the Psychonomic Society, Vol 20(2), Aug 1982, 85-88.
|
|L-shaped distributions are probably more prevalent than generally
|realized. They are highly conducive to nonrobustness of
|normality-assuming statistical tests, and strongly resist
|transformation to normality. The thinner the tail of the
|distribution, the more unlikely it is that its L-shapedness will be
|detected by inspecting a sample drawn from it. Yet, as the tail of an
|L-shaped distribution becomes increasingly shallow, its skewness and
|kurtosis depart increasingly from their "normal-distribution" values,
|and the distribution becomes increasingly conducive to drastic
|nonrobustness. Worse, a fairly common type of experimental situation
|in psychological research produces shallow-tailed L-shaped
|distributions.

If you do a search on statistical techniques for "zero-inflated
continuous [or semicontinuous] data," you might be able to apply them
to your "ten-inflated data."

--David Epstein
  [email protected]


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