Need Good book on foundations of statistics

2001-06-09 Thread Neville X. Elliven

R. Jones wrote:

>Can anyone refer me to a good book on the foundations of statistics?
>I want to know of the limitations, assumptions, and philosophy
>behind statistics.

"Probability, Statistics, and Truth" by Richard von Mises is available 
in paperback [ISBN 0-486-24214-5] and might be just what you seek.

>A discussion of how the quantum world may have
>different laws of statistics might be a plus.

The statistical portion of statistical mechanics is fairly simple, and 
no different conceptually from other statistics.


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Re: errors in journal articles

2001-05-15 Thread Neville X. Elliven

jim clark <[EMAIL PROTECTED]> wrote:

>> in the journal's 1995 volume, was exactly the same sentence:
>> "Every year since 1950, the number of American children
>> gunned down has doubled."
>
>In the article he describes tracking down the original
>basis for the statistic.  At some point, doubling _since_ 1950
>got translated into doubling every year since 1950.

This would appear to be an effect due to the fondness of Americans for 
the word "every", which seems to get itself inserted unnecessarily into 
"seven out of every ten statistical statements".


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Re: a problem in probability

2001-05-15 Thread Neville X. Elliven

Ronghua Zhang wrote:

>Suppose there exist N distinct objects, each time get n objects out
>of them(these n objects must be different) and then put them back,
>keep sampling for k rounds, and at last, what is the
>probability of at least x distinct objects have been
>selected at least once?

Look at the complementary event: what is the probability P 
that exactly N - x distinct objects have not been selected? 
Then the probability you seek is 1 - P .

>Yes, I'v already thought of that. But the complement probability is also
>hard for me. Can you help me?

Let x be fixed; when you make one pick of n objects out of N distinct 
objects, what is the probability that none of N - x distinct objects has 
been selected?

Replace the n objects, mix well, and pick again. What is the probability 
that none of those same N - x distinct objects has been selected?

Repeat this procedure k times.


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Re: Combinometrics

2001-05-04 Thread Neville X. Elliven

David Heiser wrote:

>We seem to have a lot of recent questions involving combinations,
>and probabilities of combinations.
>I am puzzled.
>Are these concepts no longer taught as a fundamental starting point in stat?

I haven't seen a Combinatorics course in a college class 
schedule in nearly twenty years, but combinations and their 
probabilities are still taught in Statistics courses 
[perhaps not with as much emphasis as previously].


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Re: a problem in probability

2001-05-04 Thread Neville X. Elliven

Ronghua Zhang wrote:

>Suppose there exist N distinct objects, each time get n objects out
>of them(these n objects must be different) and then put them back,
>keep sampling for k rounds, and at last, what is the
>probability of at least x distinct objects have been
>selected at least once?

Look at the complementary event: what is the probability P 
that exactly N - x distinct objects have not been selected? 
Then the probability you seek is 1 - P .


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Re: Question: Assumptions for Statistical Clustering (ie. Euclidean

2001-04-22 Thread Neville X. Elliven

Robert Ehrlich wrote:

>to my knowledge, there is no satisfying "theory"
>associated withcluster analyis--only rules of thumb.

The underlying theory is classification theory; see Jardine 
& Sibson, Sokal & Sneath, or The Classification Society 
Bulletin.


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Time Series Data. Significant movement

2001-04-22 Thread Neville X. Elliven

Philip Bouchier wrote:

>I have a set of measurements (e.g. number of errors, faults, etc) over a
>period of time (e.g. 9 Months) and measurements are taken weekly. These
>measurements are graphed on a spreadsheet. I need to select a small number
>of measurements and graphs then display the measurements and the graphs to
>my audience.

Nine months of weekly measurements comprise only 39 data; 
surely that's not too great a number to display at once.

>My question is, Is there a statistical way of selecting the set of
>measurement that show movement up or down other than just
>eye balling the graphs??

If by "movement up or down" you mean "trend", then there are 
a great many methods of detecting and displaying trend, none 
of which require a selection of any subset of only 39 data.


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edstat-l@jse.stat.ncsu.edu

2001-03-18 Thread Neville X. Elliven

Jerry Dallal <[EMAIL PROTECTED]> wrote:

>It is frustrating to keep getting errors when I try to access a
>printable version of the report, whether by using IE or Netscape.
>Is there a known workaround?

Yes, it's called Opera:

http://www.operasoftware.com


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