Newsgroup sci.stat.math 11586

Directory

Subject: Career Opportunities at StatSoft in US and UK -- From: Win Noren
Subject: Re: Random number generation -- From: "Robert E Sawyer"
Subject: Help with vector spaces, please. -- From: rgelb@engr.csulb.edu (Robert Gelb)
Subject: Help with vector spaces, please. -- From: rgelb@engr.csulb.edu (Robert Gelb)
Subject: Mantel test -- From: Rossi Jean Pierre
Subject: Where can I find on the net on-line classes or glossary of math terms ? -- From: Cyril_@bitmailer.net (C-A)
Subject: Re: Monte Carlo Simulation of Regression Coefficients -- From: aacbrown@aol.com
Subject: Re: I have forgotten some rules -- From: aacbrown@aol.com
Subject: Re: Help with vector spaces, please. -- From: "Robert E Sawyer"
Subject: Re: Monte Carlo Simulation of Regression Coefficients -- From: hrubin@b.stat.purdue.edu (Herman Rubin)
Subject: Re: Meta-Analysis ?? -- From: orourke@utstat.toronto.edu (Keith O'Rourke)
Subject: Moments & Standard Normal -- From: "Jim Weeks"
Subject: Re: Random number generation -- From: Barry Hembree
Subject: Re: probability of drawing one's own name in a drawing -- From: T.Moore@massey.ac.nz (Terry Moore)
Subject: Re: Help with vector spaces, please. -- From: ebohlman@netcom.com (Eric Bohlman)
Subject: Re: Re: Meta-Analysis ?? -- From: Evgenii Borisovich Rudnyi

Articles

Subject: Career Opportunities at StatSoft in US and UK
From: Win Noren
Date: Mon, 04 Nov 1996 15:36:08 -0600
StatSoft, Inc., a leading manufacturer of statistics software 
(STATISTICA) is seeking qualified applicants to fill several positions 
in our US and UK offices, all available immediately.  Opportunities 
exist in technical support, customer sales, assisting in program design, 
software testing, developing program documentation, and teaching courses 
and seminars.
Applicants are sought from any field of science (e.g., Statistics, 
Mathematics, Computer Science, Psychology, Biology) for the following 
positions:
Application Developer	
Applicant must have a degree in computer science or related field, 
experience with C, FORTRAN, and C++.  The ideal applicant will be 
familiar with programming in the Windows environment, easy to work with, 
and capable of quickly learning new concepts.
Senior Statistical Developer	
Applicant must have a degree in computer science or related field and a 
M.S. or Ph.D. in statistics or related field.  Applicant much have 
experience in numerical analysis programming.  The ideal applicant will 
also be familiar with programming in the Windows environment.
Technician	
Applicant must have a minimum of 9 semester hours of statistics (or 
equivalent), extensive microcomputer experience, and experience with at 
least one commercial statistical analysis package.  Excellent written 
and oral communication skills are required.  The ideal applicant will be 
familiar with the Windows environment and application software.
Consultant	
Applicant must have a M.S. or Ph.D. in statistics or related field, 
extensive microcomputer experience, and experience with data analysis 
software.  Excellent written and oral communication skills are required, 
as well as experience with data analysis in any area of statistics.  The 
ideal applicant with be familiar with the Windows environment 
application software.  Programming experience is a plus.
Technical Writer/Desktop Publisher
Applicant must have extensive experience with micro-computers, including 
application software such as Word, Corel, PaintShop.  Excellent written 
and oral communication skils are required.
Please submit your application by mail, fax (attention: Personnel), or 
e-mail: jobs@statsoft.com
StatSoft
Attn: Personnel
2300 E. 14th Street
Tulsa, OK 74104
phone: 918-749-1119
fax: 918-749-2217
StatSoft, Inc. is an Equal Opportunity Employer.
-- 
* * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * *
*  Win Noren                    *   phone : 918-749-1119        *
*  Technical Services Manager   *   fax   : 918-749-2217        *
*  StatSoft, Inc.               *                               *
*                               *   2300 E. 14th Street         *
*  e-mail: win@statsoft.com     *   Tulsa, OK 74104             *
*  www: http://www.statsoft.com *                               *
* * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * *
Return to Top
Subject: Re: Random number generation
From: "Robert E Sawyer"
Date: 4 Nov 1996 22:48:48 GMT
Richard F Ulrich  wrote in article <55l3im$2bl@usenet.srv.cis.pitt.edu>...
| John Olsson (d91johol@isy.liu.se) wrote:
| : I'm looking for a pseudo random number algorithm which enables me to
| : choose the n:th number in the sequence without needing to generate the
| : first n-1 numbers (where n can be quite big). Does such a thing exist?
| 
|   --  If you can predict the value in advance, that is 
| contrary to the whole idea of a "random number", isn't it?
| What you seem to be requesting is somebody's  "really rotten
| pseudo random number generator";  with even the worst of those
| (among the practical ones), you can only make the future prediction
| as a statistical one, for example, "the 10th number PROBABLY will be
| SMALL..."
Given the necessary caveats about limitations of PRNGs, the request seems 
a reasonable one in context.  Since (almost?) every PRNG has a (large) finite 
cycle length L, it makes sense to wonder whether, in theory, a generator might 
somehow be designed to allow the user to select among the L rotations of the 
cycle. In principle, the cycle itself would not need to be known to do this, only 
its length. And this wouldn't make the generator any "more rotten" than if its 
cycle were not rotation selectable. I don't know if such a generator has ever 
been designed, but I believe it is at least possible in theory.
(Of course, theoretically you could store a cycle of values, and then select from
them, but I'm refering to algorithms that don't calculate intermediate values).
--
Robert E Sawyer (soen@pacbell.net)
Return to Top
Subject: Help with vector spaces, please.
From: rgelb@engr.csulb.edu (Robert Gelb)
Date: 5 Nov 1996 07:00:56 GMT
Help with homework (vector spaces):
The problem is to find out whether a given set is a vector space.
The problem is as follows:
W' is the set of all ordered pairs(x,y) of real numbers that satisfy the
equation 2x+3y=1.
The answer at the end of the book says, that this set is not a vector
space.
Can someone explain to me why?  I would consult the book but it provides
theoretical examples, however no practical ones.
Thanks
Robert
-- 
Robert Gelb
Senior Systems Analyst
Data Express
Garden Grove, California USA
(714)895-8832
Return to Top
Subject: Help with vector spaces, please.
From: rgelb@engr.csulb.edu (Robert Gelb)
Date: 5 Nov 1996 07:00:56 GMT
Help with homework (vector spaces):
The problem is to find out whether a given set is a vector space.
The problem is as follows:
W' is the set of all ordered pairs(x,y) of real numbers that satisfy the
equation 2x+3y=1.
The answer at the end of the book says, that this set is not a vector
space.
Can someone explain to me why?  I would consult the book but it provides
theoretical examples, however no practical ones.
Thanks
Robert
-- 
Robert Gelb
Senior Systems Analyst
Data Express
Garden Grove, California USA
(714)895-8832
Return to Top
Subject: Mantel test
From: Rossi Jean Pierre
Date: Tue, 05 Nov 1996 11:25:09 +0100
Hello everybody
I am trying to learn about the Mantel statistic in the field of soil 
ecology. If the method is useful in the study of linear structures, its 
ability to investigate relationships between matrices in the case of 
strong non-linearity seems to be doubtful. Unfortunately, in soil 
biology, most of the spatial structures encountered or not linear 
gradient!
Can you help?
Jean Pierre ROSSI                   Tel: (33) 1 48 02 55 01   
Laboratoire d'Ecologie              Fax: (33) 1 48 47 36 78         
des Sols Tropicaux                  Email: rossijp@bondy.orstom.fr      
ORSTOM Centre de Bondy          
32 Av. VARAGNAT        
93143 Bondy Cedex FRANCE
Return to Top
Subject: Where can I find on the net on-line classes or glossary of math terms ?
From: Cyril_@bitmailer.net (C-A)
Date: Mon, 04 Nov 1996 18:25:24 GMT
	I'm interested mainly on stochastic differential equations,
but have some problem understanding the several books I bought.
Return to Top
Subject: Re: Monte Carlo Simulation of Regression Coefficients
From: aacbrown@aol.com
Date: 5 Nov 1996 16:56:52 GMT
Paige Miller  in <32762AB9.7BE2@kodak.com> writes:
> A colleague and I are trying to do Monte Carlo
> simulations of regression coefficients
Maybe I don't understand what you're trying to do. It seems as if you are
using the theoretical distributions of regression statistics (based on
standard assumptions) to compute the prediction error distribution. But
the prediction error distribution is known for standard assumptions.
In any event, I think the best way to accomplish your goal is to generate
random data sets and compute regressions. Then you can find the
distribution of any regression statistic for any data model. If you have
real data and no good model, you could consider resampling instead.
This should lead to results that pass peer review.
Aaron C. Brown
New York, NY
Return to Top
Subject: Re: I have forgotten some rules
From: aacbrown@aol.com
Date: 5 Nov 1996 16:49:33 GMT
STALMI@IX.NETCOM.COM in <327e219c.8183934@NNTP.IX.NETCOM.COM> asks:
> Anyone remember what the rules are for significant figures. 
I assume you mean:
(1) When adding numbers, the sum should be carried to the same number of
decimal places as the summand with the fewest number of decimal places,
(2) When multiplying numbers, the product should have the same number of
digits as the multiplicand with the fewest number of digits.
There are many exceptions to these rules and they are fundamentally
non-statistical in nature. A statistician is concerned with the error
distribution of a function as a result of the error distribution of the
arguments. Significant figure rules are based on a worst-case approach.
Aaron C. Brown
New York, NY
Return to Top
Subject: Re: Help with vector spaces, please.
From: "Robert E Sawyer"
Date: 5 Nov 1996 21:13:08 GMT
The space would consist of ordered pairs of form (x, y)=(x, (1-2x)/3), for all real x.
Consider two arbitrary reals x' and x'', and add the two corresponding would-be
vectors. In a vector space, this sum must also result in an element of the space.
Try it and see ...
-- 
Robert E Sawyer (soen@pacbell.net)
Robert Gelb  wrote in article <55mon8$7ft@hatathli.csulb.edu>...
| Help with homework (vector spaces):
| 
| The problem is to find out whether a given set is a vector space.
| 
| The problem is as follows:
| W' is the set of all ordered pairs(x,y) of real numbers that satisfy the
| equation 2x+3y=1.
| 
| The answer at the end of the book says, that this set is not a vector
| space.
| Can someone explain to me why?  I would consult the book but it provides
| theoretical examples, however no practical ones.
| 
| Thanks
| Robert
| -- 
| Robert Gelb
| Senior Systems Analyst
| Data Express
| Garden Grove, California USA
| (714)895-8832
| 
Return to Top
Subject: Re: Monte Carlo Simulation of Regression Coefficients
From: hrubin@b.stat.purdue.edu (Herman Rubin)
Date: 5 Nov 1996 14:55:01 -0500
In article <32762AB9.7BE2@kodak.com>, Paige Miller   wrote:
>A colleague and I are trying to do Monte Carlo simulations of regression 
>coefficients; that is, we would like to sample the regression coefficients from 
>their distributions. We want to do this sampling in a multivariate 
>fashion, which takes into account the fact that they are not independent.  
>Our first approach was to fit a model to a data set to estimate the regression 
>coefficients and the mean squared error; sample the mean squared error from its 
>Chi-squared distribution; then sample the coefficients from a multivariate Normal 
>distribution which is conditional on the outcome of the Chi-squared results.  
>At a peer review, another colleague suggested that our method is not going to 
>"integrate out" the mean squared error, and that what we really need is a random 
>sample from a multivariate t. I'm not sure how to do this. The books are pointing 
>me towards a Wishart distribution and even showing me how to generate Wishart 
>distributed numbers, but I'm not sure what to do with these numbers. Any 
>suggestions?

Return to Top
Subject: Re: Meta-Analysis ??
From: orourke@utstat.toronto.edu (Keith O'Rourke)
Date: Mon, 4 Nov 1996 14:45:50 GMT


Return to Top
Subject: Moments & Standard Normal
From: "Jim Weeks"
Date: 5 Nov 1996 19:56:42 GMT
Anyone remember how this is done... I'm so old
the I don't remember where I am at any given moment :-)
Seriously, I need to be able to determine the Even
Order Moments of a Standard Normal Dist..
Where E[X^2k]
&
N(x;0,1)
To look this up would mean a trip into the attic... brrrrrrrrr!!!!
Thanks in Advance..
Jim Weeks
Intergraph Corporation
Return to Top
Subject: Re: Random number generation
From: Barry Hembree
Date: Tue, 05 Nov 1996 14:37:53 -0600
Robert E Sawyer wrote:
> 
> Richard F Ulrich  wrote in article <55l3im$2bl@usenet.srv.cis.pitt.edu>...
> | John Olsson (d91johol@isy.liu.se) wrote:
> | : I'm looking for a pseudo random number algorithm which enables me to
> | : choose the n:th number in the sequence without needing to generate the
> | : first n-1 numbers (where n can be quite big). Does such a thing exist?
Myself and Bruce Collings wrote a paper on how to do what you ask for 
arbitrary length sequence RNGs.  It was published in the Oct 1984 issue 
of JACM.
Barry
Return to Top
Subject: Re: probability of drawing one's own name in a drawing
From: T.Moore@massey.ac.nz (Terry Moore)
Date: 5 Nov 1996 20:46:31 GMT
In article <327A838F.C1D@worldaccess.nl>, Els en/of Guus
 wrote:
> 
> In the Netherlands we know a feast that is called "Sinterklaas". At this
> feast little children get presents from the holy saint (that's what THEY
> think).
In english speaking countries, the character who was inspired by
Saint Nicholas is variously known as Father Christmas, or
Santa Claus. Obviously there is a common deritage.
 Grown-ups however often have parties at which one makes a 
> surprise
> -present for one of the others. To determine who has to make a present 
> for 
> who a drawing system is used. Everyone writes his name on a piece of
> paper and puts it in a bowl. Then everyone draws one piece from the 
> bowl.
> The only problem is that everytime someone draws his own name the 
> drawing
> has to start all over again because who draws who must be a perfect 
> secret.
> 
> Doing such a drawing I wondered how big the chance was to have a "good"
> drawing, that is a drawing at which noone draws his own name, and how 
> this
> chance depended on the number of participants n.
This is also known as the "envelope stuffing problem".
A secretary puts letters in envelopes at random. What is
the probability that noone gets the right letter? This
first seems to have been posed, and solved by Montmort
around 1715.
> n=11  p=14684570/11!=0.367879439=1/2.718281843... or almost exacly 1/e.
Yes, the answer is asymptotically 1/e.
The recurrence formula is p_n = (n-1)/n p_(n-1) + 1/n p_(n-2).
This leads to a solution p_n = 1 - 1/2! - 1/3! + - ... + (-1)^n /n!
This may not be obvious, but is easily checked by induction.
There is a generalisation. What is the chance, p_n(k), that k people
draw their own names? We know that p_n(0) = p_n.
It turns out that p_n(k) = p_(n-k)/k! which is asymptotically
1/k!e.
See W.A. Thompson Jr., Applied Probability for a discussion.
Terry Moore, Statistics Department, Massey University, New Zealand.
Imagine a person with a gift of ridicule [He might say] First that a
negative quantity has no logarithm; secondly that a negative quantity has
no square root; thirdly that the first non-existent is to the second as the
circumference of a circle is to the diameter. Augustus de Morgan
Return to Top
Subject: Re: Help with vector spaces, please.
From: ebohlman@netcom.com (Eric Bohlman)
Date: Wed, 6 Nov 1996 01:43:55 GMT
Robert Gelb (rgelb@engr.csulb.edu) wrote:
: Help with homework (vector spaces):
: The problem is to find out whether a given set is a vector space.
: The problem is as follows:
: W' is the set of all ordered pairs(x,y) of real numbers that satisfy the
: equation 2x+3y=1.
: The answer at the end of the book says, that this set is not a vector
: space.
: Can someone explain to me why?  I would consult the book but it provides
: theoretical examples, however no practical ones.
For one thing, W' isn't closed under scalar multiplication; if 2x+3y=1, 
then 2ax+3ay=a, so unless a=1, a(x,y) isn't in W'.
Return to Top
Subject: Re: Re: Meta-Analysis ??
From: Evgenii Borisovich Rudnyi
Date: 6 Nov 1996 12:50:31 +0300
>It appears that you are trying to deal with un-explained
>systematic variation by variance components (accounting
>for them as random effects) it would be better if you
>could explain (model) this systematic variation (effects).
Unfortunately, there is no good explanation from point of view of
physical chemistry. There is the difference between different
experiments, and it is greater than reproducibility error -
between-errors are greater than within-errors. That is it.
The problem is that in
order to explain this from physico-chemical point of view, it is
necessary to repeat all the experiments again because existing papers
does not allow us to make any good suggestion but to describe it as some
unexplained systematic error.
Evgenii Rudnyi
--
Chemistry Department       rudnyi@comp.chem.msu.su rudnyi@mch.chem.msu.su
Moscow State University    http://www.chem.msu.su/people/rudnyi/welcome.html
119899 Moscow              +(095)939 5452, fax+(095)932 8846, +(095)939 1205
Russia
Return to Top

Downloaded by WWW Programs
Byron Palmer