not reasonable to assume multivariate
normal, then I don't know if it's reasonable to estimate a correlation
matrix.) I have not tried it, but I believe that missMDA should solve
this problem assuming all the uniquenesses are equal.
Hope this helps,
Spencer Graves
On 10/21/2010 5:03 PM
, Torsten Hothorn and Peter Westfall (2010), Multiple
Comparisons Using R, CRC Press, Boca Raton.
Hope this helps.
Spencer Graves
On 10/21/2010 7:50 PM, Timothy Spier wrote:
I am a new R user but a long time SAS user. I searched for a response to this question
but no luck, so forgive me
install.packages('sos')# if you don't have it already
library(sos)
rs - ???roots
# 216 matches
summary(rs)
# in 106 packages
rs # opens a web browser with all 216 matched in a table
# listing the package with the most matches first.
# This included roots{signal}, which referenced polyroot{base},
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President
...
On Sun, Oct 31, 2010 at 1:44 PM, David Winsemiusdwinsem...@comcast.netwrote:
On Oct 31, 2010, at 12:54 PM, Spencer Graves wrote:
Have you tried the 'sos' package?
I have, and I am taking this opportunity to load it with my .Rprofile to
make it more accessible. It works very well. Very clean display
://stat.ethz.ch/mailman/listinfo/r-help
PLEASE do read the posting guide http://www.R-project.org/posting-guide.html
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751
Hello:
I hope that someone more knowledgeable will confirm or correct
what I'm about to say. I don't have time now to check this by studying
the pspline code.
From reading the pspline{survival} help page, I believe it uses
standard B-splines, penalising the integrated second
To learn why sspir does not have a filter function, you need to
ask the package maintainer, Claus Dethlefsen c...@rn.dk. My belief is
that he, Soren Lundbye-Christensen and Anette Luther Christensen found
other outlets for their time since they completed the package and the
companion
...@gmail.com
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mailing list
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PLEASE do read the posting guide http://www.R-project.org/posting-guide.html
and provide commented, minimal, self-contained, reproducible code.
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President and Chief Operating Officer
Structure Inspection
Other people like R Site Search
(http://search.r-project.org/nmz.html), which is available via the
standard R function RSiteSearch.
For me, the fastest literature search on virtually anything
statistical is the findFn function in the sos package.
(Disclaimer: I'm the lead
Hi, Mike, et al.:
in line
On 11/22/2010 5:43 PM, Mike Marchywka wrote:
Date: Mon, 22 Nov 2010 17:28:57 -0800
From: spencer.gra...@structuremonitoring.com
To: g...@well.ox.ac.uk
CC: r-h...@stat.math.ethz.ch
Subject: Re: [R] Find in R and R books
.
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://stat.ethz.ch/mailman/listinfo/r-help
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and provide commented, minimal, self-contained, reproducible code.
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751
Hello:
That package needs to be compiled from source on the computer you
are using. Instructions for doing so can be found at
http://biostat.mc.vanderbilt.edu/wiki/Main/RMySQL;.
I'm not sure of all the issues, but I believe it needs to be
configured to the specific version of
ditto. Spencer Graves
On 11/25/2010 1:20 PM, Dennis Murphy wrote:
Since today is American Thanksgiving, I want to thank:
(a) R-core for all of their efforts to produce what is, IMHO,
the best statistical software around, not simply for the
convenience of doing more, better
/posting-guide.html
and provide commented, minimal, self-contained, reproducible code.
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President and Chief Operating Officer
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751 Emerson Ct.
San José, CA 95126
ph: 408-655-4567
and install the perl
gdata: libaries needed to support Excel XLS and XLSX formats.
Read ?installXLSXsupport
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President and Chief Operating Officer
Structure Inspection and Monitoring, Inc.
751 Emerson Ct.
San José, CA 95126
ph: 408-655-4567
prop.table divides every element by the matrix total, not its colSums:
m - matrix(1:4, 2)
m
[,1] [,2]
[1,]13
[2,]24
prop.table(m)
[,1] [,2]
[1,] 0.1 0.3
[2,] 0.2 0.4
m/rowSums(m) divides every row by its rowSum:
m/rowSums(m)
[,1] [,2]
Thanks: I didn't read the prop.table help page with sufficient care.
On 11/28/2010 1:48 PM, casperyc wrote:
I am using
prop.table(m,1)
and
prop.table(m,2)
my aim.
which I think is the most 'easy' way.
Thanks.
Casper
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Spencer Graves, PE, PhD
President and Chief Operating Officer
. Then everything seemed to work appropriately.
Thanks to all.
Spencer
On 11/28/2010 7:49 AM, Gabor Grothendieck wrote:
On Sun, Nov 28, 2010 at 10:40 AM, Spencer Graves
spencer.gra...@structuremonitoring.com wrote:
I tried install.packages('gregmisc'), which Stephen said he had
to all.
Spencer
On 11/28/2010 7:49 AM, Gabor Grothendieck wrote:
On Sun, Nov 28, 2010 at 10:40 AM, Spencer Graves
spencer.gra...@structuremonitoring.comwrote:
I tried install.packages('gregmisc'), which Stephen said he had.
Then help(pac=gdata) seemed to work normally
commented, minimal, self-contained, reproducible code.
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751 Emerson Ct.
San José, CA 95126
ph: 408-655-4567
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President and Chief Operating Officer
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751
identify help pages whose name contains a
particular term.
The R Journal from last December contains an article describing
this:
http://journal.r-project.org/archive/2009-2/RJournal_2009-2_Graves~et~al.pdf;.
Hope this helps.
Spencer Graves
On 7/12/2010 7:08 AM
://stat.ethz.ch/mailman/listinfo/r-help
PLEASE do read the posting guide http://www.R-project.org/posting-guide.html
and provide commented, minimal, self-contained, reproducible code.
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President and Chief Operating Officer
Structure Inspection and Monitoring, Inc.
751
faster than posting a question to r-help.
Hope this helps.
Spencer Graves
On 7/22/2010 12:39 AM, Petr PIKAL wrote:
Hi
r-help-boun...@r-project.org napsal dne 22.07.2010 05:58:54:
Hi,
Are there any other forums on R where I can get quick responses to my
questions? I've lot
functions are designed to produce an Excel file with a summary page that
can help you identify the package that seems to be most actively
maintained among the relevant packages, as explained in a vignette.
Hope this helps.
Spencer Graves
On 7/22/2010 12:25 AM, Hans W Borchers wrote
you ask. This may not help, but it might.
Best Wishes,
Spencer
On 7/22/2010 5:00 AM, nuncio m wrote:
HI list,
I want to know whether tsdiag uses k-(p+q) as the lag in ljung box
test. How is it possible to save those values
nuncio
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President
in the sos vignette.
A shameless plug from the lead author of the sos package.
Spencer Graves
On 8/9/2010 10:01 AM, Ravi Varadhan wrote:
constrOptim can only handle linear inequality constraints. It cannot handle
equality (linear or nonlinear) as well as nonlinear inequality constraints
other than the a linear
combination of components of the state vector plus normal noise, then I
suggest you consider the sspir package, which is number 6 on this list
in terms of the number of help pages matching the search terms.
Hope this helps.
Spencer Graves
On 8/13/2010 2:06
in a variety of ways for whatever you want. It has union
capabilities to support combining the results of different searches.
Spencer Graves, lead author of sos
On 8/19/2010 6:49 AM, Frank Harrell wrote:
What do low level proc print and proc report have on Sweave or
http
The documentation is not clear. It would help if it had an
example like the following:
plot(1:2, 1:2/10)
plot(1:2, 1:2/10, asp=1)
Does looking at these two plots answer the question?
Spencer Graves
On 8/19/2010 2:36 PM, David Winsemius wrote:
On Aug 19, 2010, at 5
of different examples until
sufficient enlightenment is achieved.
Best Wishes,
Spencer Graves
On 8/19/2010 3:38 PM, r.ookie wrote:
Thanks for your example as well. Ted's example was exactly what I needed.
On Aug 19, 2010, at 3:18 PM, Gavin Simpson wrote:
On Thu, 2010-08-19 at 14:28 -0700
). The fda package includes
scripts to work all but one of the 76 examples in the book.
Hope this helps.
Spencer Graves
On 8/30/2010 4:13 PM, Duncan Murdoch wrote:
On 30/08/2010 6:40 PM, mtor...@math.carleton.ca wrote:
Dear all,
I was asked to send the following question:
We have
package includes
scripts to work all but one of the 76 examples in the book.
Hope this helps.
Spencer Graves
On 8/30/2010 4:13 PM, Duncan Murdoch wrote:
On 30/08/2010 6:40 PM, mtor...@math.carleton.ca wrote:
Dear all,
I was asked to send the following question:
We have some (raw
to that produced in the browser.
Hope this helps.
Spencer Graves
(lead author of sos)
On 9/5/2010 8:07 AM, David Winsemius wrote:
On Sep 5, 2010, at 10:53 AM, Donald Braman wrote:
Does anyone know of a package (or workaround) for fitting a dirichlet
distribution by maximum likelihood
an extended summary by package in one sheet with the
search results in another, documented in a vignette.
Hope this helps.
Spencer Graves
lead author of sos
On 9/7/2010 12:56 AM, Barry Rowlingson wrote:
On Tue, Sep 7, 2010 at 8:11 AM, raje...@cse.iitm.ac.in
raje...@cse.iitm.ac.in
comments, suggested
improvements, etc., via email.
Thanks,
Spencer Graves
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and provide
levels. The
output of predict can then be fed to contour to produce what you
want, I think. I'm sorry I don't have time now to fill in the details.
Hope this helps.
Spencer Graves
p.s. Disclaimer: I'm the lead author of the sos package and third
author on the Functional Data
commented, minimal, self-contained, reproducible code.
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President and Chief Operating Officer
Structure Inspection and Monitoring, Inc.
751 Emerson Ct.
San José, CA 95126
ph: 408-655-4567
[[alternative HTML version deleted
?
Yes. At least two. The obvious search strategy with your favrite
search tool should work well.
--
Spencer Graves, PE, PhD
President and Chief Operating Officer
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751 Emerson Ct.
San José, CA 95126
ph: 408-655-4567
]]
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President and Chief Operating Officer
Thanks. Spencer
On 10/2/2010 10:51 AM, Dirk Eddelbuettel wrote:
On Sat, Oct 02, 2010 at 10:38:22AM -0700, Spencer Graves wrote:
Is there anything on CRAN that is NOT free?
Lots.
Also notice that 'free' means more than redistribution.
I assumed that CRAN had a policy
* page 12 of reference manual of gsl.
http://cran.r-project.org/web/packages/gsl/gsl.pdf
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President and Chief Operating Officer
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751 Emerson Ct.
San José, CA 95126
ph: 408-655-4567
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R
to receive the news when it was removed from
CRAN, because the package had an obsolete email address for me. The
package will be back on CRAN by the end of this month. In the meantime,
I trust you can install.packages from the attached zip file.
Hope this helps.
Spencer Graves
-project.org/posting-guide.html
and provide commented, minimal, self-contained, reproducible code.
--
Spencer Graves, PE, PhD
President and Chief Operating Officer
Structure Inspection and Monitoring, Inc.
751 Emerson Ct.
San José, CA 95126
ph: 408-655-4567
-help@r-project.org mailing list
https://stat.ethz.ch/mailman/listinfo/r-help
PLEASE do read the posting guide http://www.R-project.org/posting-guide.html
and provide commented, minimal, self-contained, reproducible code.
--
Spencer Graves, PE, PhD
President and Chief Operating Officer
Structure
, b20101010, x2010, overwrite = T)
If this does not work, please note that there is a mailing list
specifically for questions regarding database issues with R (R-SIG-DB:
https://stat.ethz.ch/mailman/listinfo/r-sig-db;).
Hope this helps,
Spencer Graves
On 10/12/2010 5:57 PM, stephen
?
Beyond this, what would you suggest to update a real-time report
when new data arrives in a certain directory? A generalization of the
above works, but I'd like something more graceful.
Thanks,
Spencer Graves
sessionInfo()
R version 2.11.1 (2010-05-31)
i386-pc-mingw32
locale
more skill from the programmer or more user training than using escape
under Rgui or ctrl-g/c under Emacs.
Best Wishes,
Spencer
On 7/11/2010 12:02 PM, Duncan Murdoch wrote:
On 11/07/2010 2:29 PM, Spencer Graves wrote:
How can one interrupt the following gracefully:
while
the function -- or use a function in another package. Tsay
(2005) Analysis of Financial Time Series, 2nd ed. (Wiley) includes an
example on p. 103 that could be used for a reference.
Hope this helps.
Spencer Graves
tom soyer wrote:
Hi,
Does anyone know if R has a Lagrange multiplier
= denominator
degrees of freedom; http://en.wikipedia.org/wiki/F-distribution], while
the expected value for a chi-square is the number of degrees of freedom
Unfortunately, I don't feel I can afford the time to dig into this
further right now.
Thanks for your help.
Spencer Graves
with this.
Spencer Graves
tom soyer wrote:
Spencer,
Sorry, I forgot that the default lag in arch is 16. Here is the fix. Can you
try it again and see if it gives the correct (or at least similar compared
to a true LM test) result?
archTest=function(x, lags=12){
#x is a vector
require(vars)
s=embed(x
inflations, Econometrica 50: 987-1007, cited by Tsay (p. 101).
However, that's not on my critical path for today. SG
On 2/2/08, Spencer Graves [EMAIL PROTECTED] wrote:
Dear Tom:
Your revised function eliminates the discrepancy in the degrees of
freedom but is still very different from
work... hmm...
On 2/2/08, Spencer Graves [EMAIL PROTECTED] wrote:
Dear Tom:
Your revised function eliminates the discrepancy in the
degrees of
freedom but is still very different from the numbers reports
on Tsay, p.
102:
archTest(log(1+as.numeric
1. Have you tried a search at http://www.insightful.com/;?
2. Have you asked Insightful tech support and / or
[EMAIL PROTECTED]?
3. Do you have S-PLUS 8? Insightful claims that with S-PLUS 8,
open source analytics developed in R ... can be imported
with Pinheiro and Bates.
Spencer Graves
Erin Hodgess wrote:
Dear R People:
Sorry for the off-topic. Could someone recommend a good reference for
using the EM algorithm on mixed models, please?
I've been looking and there are so many of them. Perhaps someone here
can narrow things
can learn much quicker how to use, modify and extend the
statistical tools discussed.
Spencer Graves
[EMAIL PROTECTED] wrote:
Comment 1 raises a real issue. R is just a tool. Too often people do
confuse the tool with the real skill that the people who use it should
have
see also the 'multcomp' and 'multcompView' packages.
Henrique Dallazuanna wrote:
See ?TukeyHSD
On 13/02/2008, Kes Knave [EMAIL PROTECTED] wrote:
Dear all,
I have finally managed to get a Analysis of Variance Table:
Response: LogHand
Df Sum Sq MeanSq F
of many
ACF plots in Tsay (2005) Analysis of Financial
Time Series, 2nd ed. (Wiley) that follow this secondary standard.
Spencer Graves
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Hi, Kathy, John, et al.:
Has there been an answer to the question of why R has been much
more successful than Octave?
In this regard, can anyone provide a price comparison of student
versions for S-Plus and Matlab during R's gestation period, 10-15 years
ago? I had the
Have you looked at the 'dlm' package? It has a vignette to help
you learn to use it. Also, I've heard that a book about that package is
scheduled to appear in the next few months.
I have looked at the Kalman functions in the 'stats' package but
have not found documentation that
I'm not familiar with the Schuster system, but
RSiteSearch(Schuster) produced 34 hits and RSiteSearch(river, fun)
produced 133 for me just now.
If this does not lead you to an answer to your question, PLEASE do
read the posting guide http://www.R-project.org/posting-guide.html and
. It may include more than you want to consider, but for me,
too much is usually better than nothing.
hope this helps.
Spencer Graves
p.s. If you try it and have trouble, please submit another question
including commented, minimal, self-contained, reproducible code, as
requested
Many people love Mathematica, but it's strength is symbolic
mathematics, not data analysis. Googling for data analysis in
Mathematica and R led me to an advertisement for a Mathematica add-on
called RLink, which is an exciting new tool [to] leverage the
statistical analysis power of R
Have you considered using 'corCAR1' with 'lme' in the 'nlme'
package?
Hope this helps.
Spencer Graves
p.s. If you are not familiar with this, I highly recommend Pinheiro,
J.C., and Bates, D.M. (2000) Mixed-Effects Models in S and S-PLUS
(Springer). The ~R\library\nlme
again for your reply regarding %*%.
Spencer Graves
knoblauch wrote:
Joe Cainey jcainey at gmail.com writes:
Is it possible to supply a new method for the %*% operator?
clipped
I've tried to do the same thing with %*%:
%*%.ad - function(a,b)
{
# further code
Dear Martin:
This is wonderful. Thank you very much.
It would be a great help if your suggestions could be added to
See Also and Examples for methods.
Thanks again,
Spencer Graves
Martin Morgan wrote:
Spencer Graves wrote:
Thanks, Ken.
1. How can I
- (F(x))^n - (1-F(x))2] dx.
Thanks,
Spencer Graves
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: The exact distribution of the range, p. 339).
Unfortunately, either I don't understand this formula, or it's wrong.
Using expression (14.1) in the same reference, I get the following:
E(R) = n*integral{-Inf to Inf of [(F(x))**(n-1) -
(1-F(x))**(n-1)]dF(x).
Thanks,
Spencer Graves
).
Thanks,
Spencer Graves
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Hi, Greg:
Thanks very much for the reply.
1. The 'ptukey' and 'qtukey' function are the distribution of the
studentized range, not the range. I tried sum(ptukey(x, 2, df=Inf,
lower=FALSE))*.1 and got 1.179 vs. 1.128 in the standard table of d2
for n = 2 observations per
.
*From:* Spencer Graves [mailto:[EMAIL PROTECTED]
*Sent:* Fri 3/21/2008 3:39 PM
*To:* Greg Snow
*Cc:* r-help@r-project.org
*Subject:* Re: [R] function for the average or expected range?; CORECTION
Hi, Greg:
Thanks very much for the reply.
1. The 'ptukey' and 'qtukey
' -- while
perhaps illustrating the need to use these parameters.
Hope this helps.
Spencer Graves
library(mvtnorm)
(mle2 - optim(rep(0, 2), dmvnorm, method='CG',
control=list(fnscale=-10, parscale=c(.3, 3), trace=9),
mean=1:2, hessian=TRUE, log=TRUE
Have you tried the vignette:
(dse - vignette(dse-guide))
Stangle(dse$file)
This should open dse-guide.pdf in Acrobat and create a file
dse-guide.R in the working directory. The latter file should contain
the R commands used in the vignette.
Do you
variable, collect
anova(glm.D93t, glm.D93)[2, Deviance] in a vector, and then find out
how extreme the deviance you actually got is relative to this
permutation distribution.
Hope this helps.
Spencer Graves
p.s. Regarding your 'dread', please see fortune(children)
Monica Pisica
be misused.
Hope this helps.
Spencer Graves
Monica Pisica wrote:
Hi Spencer and David,
Thanks for your answers first - yes it is deviance but just
before i just spoke and explain that it is the equivalent of r square
from the normal regression.
I hope i can do
Consider also the following:
a - 1.2
b - 1.0
(a-b)%%.1
[1] 0.1
(a-b)%/%.1
[1] 1
.2%%.1
[1] 0
.2%/%.1
[1] 2
This performs as described on ?%/%. In particular, the second
paragraph under Value:
'%%' indicates 'x mod y' and '%/%' indicates integer division. It
is
.
Spencer Graves
[EMAIL PROTECTED] wrote:
Dear R users,
I´m trying to optimize simultaneously two binomials inequalities (used in
acceptance sampling) which are nonlinear solution, so there is no simple
direct solution. Please, let me explain shortly the the problem and the
question as following
replies quicker.
¡Buena Suerte!
Spencer Graves
mergullo wrote:
Hi R users
I try to use the lme but I can´t!
My script is (some words in french, sorry!!):
rm(list=ls(all=TRUE)) #Efface tous les objets en mémoire pour éviter des
erreurs
library(MASS) #Chargement des Librairies
Hi, Erin:
I just got 46 hits from RSiteSearch('predict garch'). Might any
of these help you?
Spencer
Erin Hodgess wrote:
Dear R People:
Is there a predict method for garch methods, please?
I tried the usual predict(d1.garch,n.ahead=3)
but only got values for the original
Dear Michael:
There are doubtless better ways to do this, but the I just got the
following ugly hack to work for me:
rawDat - readLines('linthall.dat')
(N - length(rawDat))
N2 - ((N-1)/2)
outDat - character(N2+1)
outDat[1] - rawDat[1]
for(i in 1:N2)
outDat[i+1] -
a different set for each Mare in this example?
Thanks,
Spencer Graves
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and provide
from my study of it.
Hope this helps.
Spencer Graves
Rebecca Sela wrote:
I tried to use LME (on a fairly large dataset, so I am not including it), and I
got this error message:
Error in lme.formula(formula(paste(c(toString(TargetName), as.factor(nodeInd)), :
nlminb problem
' graphics from self-study of a book.
Hope this helps.
Spencer Graves
Roberto Laforgia wrote:
See the following link:
http://www.amazon.com/Graphics-Computer-Science-Data-Analysis/dp/158488486X/ref=wl_itt_dp?ie=UTF8coliid=I3TIYS7LRDPIEDcolid=1ZQCB91VGW5UR
Regards,
R.L.
Marcin Kozak
I believe that 'optim' will not accept equality constraints.
However, you do not need the generality of 'optim' to minimize a
quadratic function with boundary conditions and one equality
condition. This type of problem is called quadratic programming,
and RSiteSearch(quadratic
I just got 37 hits from RSiteSearch('differential equation',
'fun') including odesolv{fda}, rk4{deSolve}, rk4{odesolve}, in addition
to lsoda{odesolve} and the Rsundials package.
hope this helps.
Spencer Graves
Michael Lawrence wrote:
On Tue, Jun 17, 2008 at 6:25 PM, David
If this were my problem, I think I'd express it as a Kalman filter
and use the 'dlm' package. Fortunately, the package contains a vignette.
Hope this helps.
Spencer Graves
Bernardo Rangel Tura wrote:
Hi R masters,
In my work I analyse a time serie of number of birth
as I seen. Spencer Graves
stephen sefick wrote:
This discussion has already occurred- to my knowledge at least once. I
would suggest searching the archived list, and see what you get. If you
still have questions after you have a look then fire a couple of specifics,
but speaking for myself I
Maybe I missed it, but I haven't seen in this tread mention of
Venables and Ripley (2000) S Programming (Springer). I found it
interesting and useful, though I have not used it as much as MASS --
partly because it is more specialized and it's coverage is not as broad.
Spencer
in the posting guide http://www.R-project.org/posting-guide.html;.
Hope this helps.
Spencer Graves
Cleber Nogueira Borges wrote:
Hello all useRs,
I am using the OPTIM function with particular interest in the method
L-BFGS-B,
because it is a box-constraint method.
I have interest
believe in
magic, but sometimes it requires a little creative thought.
Hope this helps.
Spencer Graves
Rolf Turner wrote:
On 25/06/2008, at 6:01 AM, Roger Leenders wrote:
R 2.7.0, WinXP
Hi list,
I have written some code in R that I would like to share with others who
If you want to hide the fact that you are using R -- especially if
you charge people for your software that uses R clandestinely -- that's
a violation of the license (GPL). I doubt if anyone associated with R
would bother with a lawsuit, but a competitor who offers related
software
in S
and S-Plus (Springer).
Hope this helps. Spencer Graves
Cleber Nogueira Borges wrote:
Hello all useRs,
I am using the OPTIM function with particular interest in the method
L-BFGS-B,
because it is a box-constraint method.
I have interest in the errors estimates too.
I make
The question seems too general for me to offer specific suggestions.
What problem are you trying to solve that you think 'multiple
comparisons' will answer?
Can you produce a similar problem that is completely self-contained
example that eliminates complexity that may not be needed to
If I had only a very limited time to do this, I might include
'month' as another effect, probably coded as 'sin' and 'cos' on an
annual cycle rather than as 12 individual Indicators. This would allow
you to explore not only main effects but interactions with plots.
Before I did
', with methods for 'plot', 'lines', and 'plotfit'. In
addition, there have also been improvements to the 'plotfit' function
and the 'CanadianWeather' data. Also, a function 'norder' has been
added, which returns the order of a B-spline.
Spencer Graves
The 'polynom' package provides one example of how to do this.
However, getAnywhere(+.polynomial) just told me no object named
‘+.polynomial’ was found; I don't know why. The documentation says it
uses S3 classes. The 'Matrix' package should provide other examples,
using S4 classes.
Did you try 'RSiteSearch(unable to restore saved data in
.RData)'? This just produced 61 hits for me, the second of which
http://finzi.psych.upenn.edu/R/Rhelp02a/archive/85451.html; looks to me
like it might answer your question.
Hope this helps.
Spencer
Susana
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