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Guest
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 Posted: Tue May 17, 2005 12:27 pm Post subject:
Left skewed distributions--help
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Can someone help me with Rayleigh curves or left-skewed distributions?
Specifically, what are the best measures of central tendency? What is the
relationship between those measures of central tendency and the distribution
of scores? Can any conclusions be drawn about the distribution based upon
the mean or median? Lastly, is it necessarily the case that if the mean
and/or median increase that the dispersion of scores will increase? thanks
in advance. ps: please refer me to any good online resources that you know
of. thanks again. |
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Herman Rubin
science forum Guru
Joined: 25 Mar 2005
Posts: 730
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| Posted: Tue May 17, 2005 2:01 pm Post subject:
Re: Left skewed distributions--help
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In article <1116340023.30a54f87701dc7ec8dada1eede4c7278@meganetnews2>,
<txs@bsd.net> wrote:
| Quote: | Can someone help me with Rayleigh curves or left-skewed distributions?
Specifically, what are the best measures of central tendency? What is the
relationship between those measures of central tendency and the distribution
of scores? Can any conclusions be drawn about the distribution based upon
the mean or median? Lastly, is it necessarily the case that if the mean
and/or median increase that the dispersion of scores will increase? thanks
in advance. ps: please refer me to any good online resources that you know
of. thanks again.
|
There is no such thing as a "measure of central tendency",
typical textbooks to the contrary, unless the distribution
is symmetric, so the "center" is clear.
One can give examples for which the answers to your questions
are in the negative. Statistics is not a black box into which
one can feed data and get out the state of the universe.
--
This address is for information only. I do not claim that these views
are those of the Statistics Department or of Purdue University.
Herman Rubin, Department of Statistics, Purdue University
hrubin@stat.purdue.edu Phone: (765)494-6054 FAX: (765)494-0558 |
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Guest
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| Posted: Tue May 17, 2005 3:31 pm Post subject:
Re: Left skewed distributions--help
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my measures of central tendency I mean the mean and median. |
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Herman Rubin
science forum Guru
Joined: 25 Mar 2005
Posts: 730
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| Posted: Tue May 17, 2005 6:00 pm Post subject:
Re: Left skewed distributions--help
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In article <1116351064.4460fdae8a882665fe16cf61a77eaaff@meganetnews2>,
<txs@bsd.net> wrote:
| Quote: | my measures of central tendency I mean the mean and median.
|
These are reasonable parameters, but they are not measures
of central tendency. As far as functions of data, their
purpose is to help make decisions; start with the
probability models, and the consequences of bad decisions,
and THEN decide what functions of the observations to use.
It may well be that you do not even want to look at the
mean or the median of the data.
--
This address is for information only. I do not claim that these views
are those of the Statistics Department or of Purdue University.
Herman Rubin, Department of Statistics, Purdue University
hrubin@stat.purdue.edu Phone: (765)494-6054 FAX: (765)494-0558 |
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Guest
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| Posted: Sat May 21, 2005 1:36 am Post subject:
Re: Left skewed distributions--help
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thank you. |
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