Re: test of normality
- From: Bruce Weaver <bweaver@xxxxxxxxxxxx>
- Date: Mon, 11 Jul 2005 13:05:32 -0400
"Luis A. Afonso" wrote:
Luis' response was below my sig file, so did not appear when I replied. Here it is:
---------------------------------------------------------------- Response
FOR GOD`S SAKE
What you say about * The mean gets pulled in the direction of the skewness. So your distribution of incomes would be right-skewed, or positively skewed.* is positively a blunder, the evidence of a complete ignorance what is random sampling.
If YOU ARE HONEST you must show me WITH DATA
this * MARVELLOUS, MIRACULOUS * skewed left migrating to the right. I am waiting.
No . I am not an expert statistician, but I NEVER made a
mistake alike.
(Statistics is not a matter of a priori subjective principles – it MUST be checked by REALITY) No . I am not an expert statistician, but I NEVER made a mistake alike. I began to think that I am indeed. ----------------------------------------------------------------
If I am making "blunder", I am not alone.
http://davidmlane.com/hyperstat/desc_univ.html (click on Skew) http://www.uwsp.edu/psych/stat/4/graphing.htm#III2 http://en.wikipedia.org/wiki/Skewness
From this last site:
"In probability theory and statistics, skewness is a measure of the asymmetry of the probability distribution of a real-valued random variable. Roughly speaking, a distribution has positive skew (right-skewed) if the higher tail is longer and negative skew (left-skewed) if the lower tail is longer (confusing the two is a common error)."
The confusion arises because people tend to focus on where the bulk of the observations are instead of the long tail. (I know I did that when first introduced to the concept of skewness.)
-- Bruce Weaver bweaver@xxxxxxxxxxxx www.angelfire.com/wv/bwhomedir .
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