Thanks
Most thoughtful...
Regards
S
From: Spencer Graves [mailto:[EMAIL PROTECTED]
Sent: Mon 27/06/2005 19:52
To: Stephen
Cc: Douglas Bates; r-help@stat.math.ethz.ch
Subject: Re: [R] Mixed model
I often think carefully about what I want and store
This is based on a false premise. R _can_ read files containing such
names: use readLines() or scan(allowEscapes=FALSE). Someone else wrote
the C for you!
The restriction is that if you pass character strings to the parser, they
are interpreted according to the documented rules, including
On Tue, 28 Jun 2005, Ju-Sung Lee wrote:
I think I've misread the intent of the GetRNGstate() and other API
functions; these only work when embedded in C functions eventually called
from R. Apologies for the mistake.
First, the posting guide asks you to send programming questions to the
Hi,
Please, can you tell if there are any package or R
code for STAR models estimation and test
misspecification.
Thanks in advance
Best regards
AJMI Noomen
PHD Student
TUNISIA
__
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Mulholland, Tom wrote:
-Original Message-
From: [EMAIL PROTECTED]
[mailto:[EMAIL PROTECTED] Behalf Of Henrik Bengtsson
Sent: Tuesday, 28 June 2005 2:54 AM
To: Spencer Graves
Cc: r-help@stat.math.ethz.ch; Dirk Eddelbuettel
Subject: Re: [R] How to convert c:\a\b to c:/a/b?
... snipped
Goog morning!
How to construct a time serie in hours or in minuts, ...
The examples are all in years
Excuse for questions so basic!
Jver
[EMAIL PROTECTED]
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https://stat.ethz.ch/mailman/listinfo/r-help
PLEASE do
The general location model is assumed: continuous variables are assumed
normal conditional on the categorical variables. ft.
--
Fernando TUSELLe-mail:
Departamento de Econometría y Estadística [EMAIL PROTECTED]
Facultad de CC.EE. y Empresariales
Hi,
Can you tell me if there are an R package or code for STAR model estimation and
test misspecification. If no, how i could do this.
Thanks in advance
Best regards
AJMI Noomen
Phd student
TUNISIA
-
[[alternative HTML version
Dear useRs
is there any nonparametric test for the analysis of variance in a design
with two within-factors (repeated measures on both factors)? Friedman is not
appropriate here, therefore I am grateful for any alternative test.
thanks for any hint
cheers
christoph
--
Did some search but couldn't find useful result.
I am trying to read a n*m dimension data with read.table, what i need is a
numeric array,
is there any efficient way to allow me get this array directly instead of a
list?
I tried to use as.array() to change the mode, but seems it doesn't work
Dear useRs,
a new package for tree-structured regression is available on CRAN.
This package implements a unified framework for recursive partitioning
which embeds tree-structured regression models into a well defined
theory of conditional inference procedures. Stopping criteria based on
Please consult the `R Data Import/Export Manual'. You could be using
scan(), as in
matrix(scan(some_file, 0), nrow=n, byrow=TRUE)
On Tue, 28 Jun 2005, tong wang wrote:
Did some search but couldn't find useful result.
I am trying to read a n*m dimension data with read.table, what i need
Hi,
Your last email was excellent and I got it working using the following.
It did the job extremely quickly, more so a commercial piece of software
my university uses!
#This works fine -
Dataset - read.table(C:/Program Files/R/rw2011/data/miss/model1.dat,
header=TRUE, sep=\t,
On Tue, 28 Jun 2005 09:20:54 +0200 pir2.jv wrote:
Goog morning!
How to construct a time serie in hours or in minuts, ...
The examples are all in years
Excuse for questions so basic!
Look at the zoo package for time series with arbitrary time scale (e.g.,
Date, chron, POSIXct, ...). The zoo
Dear R list
Would anyone be able to tell me whether it is possible to do enhanced
multidimensional scaling (enhanced MDS) in R? In other words, something that
goes beyond cmdscale by iteratively improving the fit between observed
dissimilarities and inter-object distances, using the KYST
On Tue, 28 Jun 2005, Achim Zeileis wrote:
On Tue, 28 Jun 2005 09:20:54 +0200 pir2.jv wrote:
Goog morning!
How to construct a time serie in hours or in minuts, ...
The examples are all in years
Excuse for questions so basic!
Look at the zoo package for time series with arbitrary time scale
maybe you can use the array function,like
array(CO2,dim(CO2),list(rownames(CO2),colnames(CO2)))
and matrix is just a specif type of array,so maybe you can use as.matrix
as.matrix(CO2)
the above tow,the CO2 is a data.frame which can use read.table to read in.
the third way is:use the scan the
On Tue, 28 Jun 2005 10:53:11 +0100 (BST) Prof Brian Ripley wrote:
On Tue, 28 Jun 2005, Achim Zeileis wrote:
On Tue, 28 Jun 2005 09:20:54 +0200 pir2.jv wrote:
Goog morning!
How to construct a time serie in hours or in minuts, ...
The examples are all in years
Excuse for questions so
Hi again
Sorry, in looking again at sammon and isoMDS I see that they seem to do
exactly what I want, except that they are non-metric, which means, as I
understand it, that they relate the rank orders of the variables rather than
the actual distances.
Could I use these non-metric MDS
On Tue, 28 Jun 2005, Achim Zeileis wrote:
On Tue, 28 Jun 2005 10:53:11 +0100 (BST) Prof Brian Ripley wrote:
On Tue, 28 Jun 2005, Achim Zeileis wrote:
On Tue, 28 Jun 2005 09:20:54 +0200 pir2.jv wrote:
Goog morning!
How to construct a time serie in hours or in minuts, ...
The examples are
On Tue, 28 Jun 2005, Karen Kotschy wrote:
Hi again
Sorry, in looking again at sammon and isoMDS I see that they seem to do
exactly what I want, except that they are non-metric, which means, as I
understand it, that they relate the rank orders of the variables rather than
the actual
HI ALL
i would like to solve a complex set of equations. i have four parameters
and four equations. i could set up more equations since they are derived
from the momnets of a particular distribution.
the parameters are NON LINEAR!!!
AND the eqautions are of the form:
phi(i)=function(a,x,y,z)
hello
where can download R-postgresql from ?
regards
Ahmet Temiz
__
XamimeLT - installed on mailserver for domain @deprem.gov.tr
Queries to: [EMAIL PROTECTED]
__
The views and opinions expressed in this e-mail message are
orkun wrote:
hello
where can download R-postgresql from ?
Please read the posting guide.
What is R-postgresql? For which version of R on which platform?
The following two web pages might help you to precise your question:
http://www.omegahat.org/RSPostgres/
Supposing 'inmatrix' is a matrix with coloumn names 'x1', 'x2' and
'x3'; how about something like
model.matrix(~ (x1 + x2 + x3)^2 + log(x1) + log(x2) + log(x3) +
sqrt(x1) + sqrt(x2) + sqrt(x3) - 1,
as.data.frame(inmatrix))
--
Bjørn-Helge Mevik
Cristoph:
Take a look on
Brunner, E., Domhof, S. and Langer, F. (2002). Nonparametric analysis of
longitudinal data in factorial experiments. John Wiley Sons, New York.
for the theory.
The authors have R and SAS code available on
http://www.ams.med.uni-goettingen.de/de/sof/ld/makros.html
Hi list
I'm looking for statisitic measurements describing the pattern of points
within a given polygon. Is there a function calculating the Index of
Dispersion and/or are there other functions summarising an observed pattern?
Markus Schwarz
I am about to embark on the writing of a program for R and I wanted to
know a good reference book that would be useful. There has been some
talk about S programming the Springer publication ISBN:0387989668. Is
that what most people are using or are there other books that might be
dedicated
On 27-Jun-05 Spencer Graves wrote:
Thanks, Dirk, Gabor, Eric:
You all provided appropriate solutions for the stated problem.
Sadly, I oversimplified the problem I was trying to solve: I copy a
character string giving a DOS path from MS Windows Explorer into an R
script
Philip Bermingham wrote:
I am about to embark on the writing of a program for R and I wanted to
know a good reference book that would be useful. There has been some
talk about S programming the Springer publication ISBN:0387989668. Is
that what most people are using or are there other
Hello,
I have a data set with 9700 records, and 7 parameters.
The data were collected for a survey of forest communities. Sample plots
(1009) and species (139) are included in this data set. I need to determine
how species are accumulated as new plots are considered. Basically, I want
to
The only STAR model I have come across is Smooth Threshold Autoregressive
time series model, see Tong, Non Linear Time Series. I am not aware of any
package that has implemented threshold models.
Because statistical techniques are used widely across many different
disciplines it is inevitable
i learn it from metrics: Towards a package for doing econometrics in Rbut i
can not find it in cran.
--
Department of Sociology
Fudan University,Shanghai
Blog:http://sociology.yculblog.com
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Look for package Ecdat.
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https://stat.ethz.ch/mailman/listinfo/r-help
PLEASE do read the posting guide! http://www.R-project.org/posting-guide.html
I am finding complex analyses easier than some elementary operations in
R. In particular I want to do some low level exploratory data analyses
with data in a data frame but cannot find commands to easily insert,
remove (delete), rename, and re-order (arbitrarily, not sort) columns.
I see that the
It is likely that here STAR means the Smooth Transition Autoregressive model
which generalizes the Threshold Autoregressive (TAR) model to allow for gradual
switching between regimes.
The model can be estimated in R by applying maximum likelihood (ML) estimation
or Monte Carlo Markov Chain
Using RODBC, when I select from a table strings (chars and varchars)
come as factors. What is the best way, speed wise, to convert these
columns back to strings (perhaps using as.character).
__
R-help@stat.math.ethz.ch mailing list
R News (www.r-project.org - Documentation: Newsletter, (4/1) June
2004, pp. 29-32, and (2/2) June 2002, pp. 2-10 contain excellent
articles on date-time classes and time series capabilities in R. In
addition, I have found ch. 14 in Venables and Ripley (2002) Modern
Applied
Federico Calboli wrote:
Hi All,
I am currently preparing some form of slideshow introducing R and its
capabilities for some colleagues. The thing will be about 30 mins, and
I'd like to have some pretty pictures and some amazing facts (I'm
trying to sell, obviously :)).
Can I ask if it's
Ben Fairbank [EMAIL PROTECTED] wrote in message
news:[EMAIL PROTECTED]
I ... cannot find commands to easily insert,
remove (delete), rename, and re-order (arbitrarily, not sort) columns.
...
Could a reader provide a reference where such commands are
documented?
There's a lot of info in the
On Tue, 28 Jun 2005 20:55:44 +0800 ronggui wrote:
i learn it from metrics: Towards a package for doing econometrics in
Rbut i can not find it in cran.
I guess you are referring to the talk of Hiroyuki Kawakatsu at useR!
2004. Contact him directly to ask for a version of the package.
Some of
How about Rmetrics, listed under misc: related projects on
www.r-project.org.
spencer graves
ronggui wrote:
i learn it from metrics: Towards a package for doing econometrics in Rbut i
can not find it in cran.
--
Spencer Graves, PhD
Senior Development Engineer
PDF
I'm not entirely sure what you want, but is it 9 5 3 for this data? (9
new species occur at the first point, 5 new at the second, and 3
new at the third). If this is right, then to get accumulation curve
when random Points are considered, you can probably just index rows of
dt appropriately.
Hi
I would recommend graphical methods to compare two samples from
possible different distributions. See ?qqplot
Since the Kolmogorov-Smirnov test has in many cases very small
power, you can not conclude that two sample come from the same
distribution only because the ks.test is not significant.
(Ted Harding) wrote:
On 27-Jun-05 Spencer Graves wrote:
Thanks, Dirk, Gabor, Eric:
You all provided appropriate solutions for the stated problem.
Sadly, I oversimplified the problem I was trying to solve: I copy a
character string giving a DOS path from MS Windows Explorer
Hello!
Does someone know how to produce
L(y|mu)
with plotmath?
Some code with unsuccessfull results:
plot(dnorm(x = seq(from = -4, to = 4, by = 0.1)), type = l)
## Not what I want
legend(legend = c(expression(L(y:mu))), x = topright)
## Strange, is this a bug?
legend(legend =
Gorjanc Gregor wrote:
Hello!
Does someone know how to produce
L(y|mu)
with plotmath?
Some code with unsuccessfull results:
plot(dnorm(x = seq(from = -4, to = 4, by = 0.1)), type = l)
## Not what I want
legend(legend = c(expression(L(y:mu))), x = topright)
## Strange, is
I sent this to r-devel the other day but didn't get any takers. This
may not be a bug but rather an inconsistency.
I'm not sure if this is intentional. summary.lm stores weighted
residuals whereas I think most users will want print.summary.lm to
summarize unweighted ones as if saying
On Tue, 28 Jun 2005, Frank E Harrell Jr wrote:
I sent this to r-devel the other day but didn't get any takers. This
may not be a bug but rather an inconsistency.
I'm not sure if this is intentional. summary.lm stores weighted
residuals whereas I think most users will want print.summary.lm
Hello,
I was wondering if you can help me
I am a final year PhD student and I am trying to do a logistic regression in R
and look at the sign of the linear coefficient estimated from this regression
in order to decide which model curve I should fit in my data??
How can I do this??
thank
On Tue, 28 Jun 2005, Omar Lakkis wrote:
Using RODBC, when I select from a table strings (chars and varchars)
come as factors. What is the best way, speed wise, to convert these
columns back to strings (perhaps using as.character).
FAQ Q7.10, replacing numeric by character.
You do have
Dear All,
I've a question about scaling the input variables for an analysis with svm
(package e1071). Most of my variables are factors with 4 to 6 levels but there
are also some numeric variables.
I'm not familiar with the math behind svms, so my assumtions maybe completely
wrong ... or
if i want to rename the data frame,say data1,to data2,have i use those
data2-data1
rm(dat1)
or these is simpler way to do this? thank you !
On Tue, 28 Jun 2005 10:08:55 -0500
Earl F. Glynn [EMAIL PROTECTED] wrote:
Ben Fairbank [EMAIL PROTECTED] wrote in message
news:[EMAIL PROTECTED]
I ...
Hi,
I need to calculate Kendall's tau for large data
vectors (length 100'000).
Is somebody aware of a faster algorithm or package
function than cor(, method=kendall)?
There are ties in the data to be considered (Kendall's
tau-b).
Any suggestions?
Regards
Ferdinand
Two alternatives to the zero inflated Poisson (ZIP) model are mentioned
in Jung, Jhun, and Lee (Biometrics, vol 61, no 2, June 2005, p626):
Although the ZIP model is more general than the standard Poisson, count
data with many zeros are often more dispersed than the ZIP model. In
this case,
Hi, a question about the circular mean function in the package
CircStats:
Can anyone shed some light on why the circ mean function seems to make
sense for the first 2 set of bearings and then the mean of 225 and 45
degrees gives an unexpected 180 deg.
deg(circ.mean(c(rad(222),rad(45%%360
Hi,
do anyone know which statistical software have the Brown-Forsythe Test for
differences of numerical continue data groups wich variance heterogenity?
not ofr evaluate the homogenity of variances, for evaluated the differences
between groups as ANOVA.
thanks
José Herrera
México
?oneway.test
Jose Herrera Bazán wrote:
Hi,
do anyone know which statistical software have the Brown-Forsythe Test for
differences of numerical continue data groups wich variance heterogenity?
not ofr evaluate the homogenity of variances, for evaluated the differences
between groups as
[EMAIL PROTECTED] wrote:
Dear All,
I've a question about scaling the input variables for an analysis with svm
(package e1071). Most of my variables are factors with 4 to 6 levels but
there are also some numeric variables.
I'm not familiar with the math behind svms, so my assumtions
On Tue, 2005-06-28 at 13:03 -0400, ferdinand principia wrote:
Hi,
I need to calculate Kendall's tau for large data
vectors (length 100'000).
Is somebody aware of a faster algorithm or package
function than cor(, method=kendall)?
There are ties in the data to be considered (Kendall's
I am curious if there is code developed to plot confidence regions in 3D.
The scatterplot3d function generates the plot I want, but would like an 3D
equivalent to the data.ellipse function.
Any help in this direction would be appreciated, be it theoretical,
graphical, or otherwise.
Melanie
XLSolutions Corporation (www.xlsolutions-corp.com) is proud to
announce 2-day R/S-plus Fundamentals and Programming
Techniques at 4 locations nationwide.
www.xlsolutions-corp.com/Rfund.htm
Seattle, WA - July 11th-12th, 2005
Reserve your seat now at the early bird
Hi Mike,
You should think of vector sums rather than arithmetic sum. So the mean
is really the direction of the resultant vector of all the unit vectors.
When two unit vectors are exactly opposing each other (as in your example
with angles 45 and 225 degrees), they cancel each other out and the
Hi user's
How to modify the color background on lattice plot. I am trying to
plotting histogram from lattice package.
Thank very much
*
Juan Carlos Quiroz
Instituto de Fomento Pesquero
CHILE
__
R-help@stat.math.ethz.ch
Juan Carlos Quiroz Espinosa wrote:
Hi user's
How to modify the color background on lattice plot. I am trying to
plotting histogram from lattice package.
Thank very much
Try:
trellis.par.set(theme = col.whitebg())
or create your own theme.
See ?trellis.par.set.
HTH,
--sundar
Dear R users,
I fitted a repeated measure model without random effects by using lme. I will
use the estimates from that model as an initial estimates to do multiple
imputation for missing values of the response variable in the model. I am
trying to extract the within group correlation matrix
Dear Melanie,
I think that you're referring to the data.ellipse function in the car
package. What you're suggesting is a nice idea but I haven't done it. I
think that it might be easier to draw the ellipsoid using the rgl
package rather than scatterplot3d. (See, e.g., the scatter3d function
in
Have you tried VarCorr(f)?
spencer graves
liqiu jiang wrote:
Dear R users,
I fitted a repeated measure model without random effects by using lme. I
will use the estimates from that model as an initial estimates to do multiple
imputation for missing values of the
JGR users on Windows may be interested that Sun has released a preview
of its latest Java development kit and runtime engine at
http://www.java.net/download/jdk6/binaries/
This removes the main problem I have had with JGR and other Java
programs on Windows: poor font rendering. On Windows XP
Dear List,
How can I convert a list with elements being character strings, like:
c(1,2,3,4), “c(1,3,4,2) … to a list with elements as numerical
vectors: c(1,2,3,4), c(1,3,4,2)…?
Thanks!
Anna
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R-help@stat.math.ethz.ch mailing list
Newbies (and others!) may find useful the R Reference Card made available by
Tom Short and Rpad at http://www.rpad.org/Rpad/Rpad-refcard.pdf or through
the Contributed link on CRAN (where some other reference cards are also
linked). It categorizes and organizes a bunch of R's basic, most used
Can you fit a single model that includes the two classifiers from
which the model with one classifier could be obtained as a special case?
If yes (and if neither parameter was at a boundary crudely similar to
a zero variance component in lme), then you could use the theory that
For the following code is there a way to make the jitter all line up
horizontally, instead of them being just randomly spread around a value. So for
ex if there are multiple values at 63 for genotype wt then all the values
should be plotted on the same y value of 63 but spaced apart by a
Anna Oganyan wrote:
Dear List,
How can I convert a list with elements being character strings, like:
c(1,2,3,4), “c(1,3,4,2) … to a list with elements as numerical
vectors: c(1,2,3,4), c(1,3,4,2)…?
Thanks!
Anna
Try:
x - list(c(1,2,3,4), c(1,3,4,2))
lapply(x, function(x)
Hi,
I have a big dataset which has many missing values and want to implement
Multiple imputation via Monte carlo markov chain by following J Schafer's
Analysis of incomplete multivariate data. I don't know where to begin
and is looking for a sample R code that implements multiple imputation
On Tue, 2005-06-28 at 17:23 -0400, Anna Oganyan wrote:
Dear List,
How can I convert a list with elements being character strings, like:
c(1,2,3,4), “c(1,3,4,2) … to a list with elements as numerical
vectors: c(1,2,3,4), c(1,3,4,2)…?
Thanks!
Anna
l - list(c(1,2,3,4), c(1,3,4,2))
l
[[1]]
Hi there,
Could anybody help me on how to sort a dataframe by one variable in the
dataframe?
Thank you
Lisa Wang
Princess Margaret Hospital
Toronto, Ca
tel: 416 946 4501
__
R-help@stat.math.ethz.ch mailing list
as.numeric?
spencer graves
Anna Oganyan wrote:
Dear List,
How can I convert a list with elements being character strings, like:
c(1,2,3,4), “c(1,3,4,2) … to a list with elements as numerical
vectors: c(1,2,3,4), c(1,3,4,2)…?
Thanks!
Anna
Ghosh, Sandeep wrote:
For the following code is there a way to make the jitter all line up
horizontally, instead of them being just randomly spread around a value. So
for ex if there are multiple values at 63 for genotype wt then all the values
should be plotted on the same y value of 63
On Tuesday 28 June 2005 15:30, [EMAIL PROTECTED] wrote:
Re : 37. Re: A. Mani : colours in Silhouette (Mulholland, Tom)
Message: 37
Date: Tue, 28 Jun 2005 09:08:24 +0800
From: Mulholland, Tom [EMAIL PROTECTED]
Subject: Re: [R] A. Mani : colours in Silhouette
To: [EMAIL PROTECTED],
Lisa Wang wrote:
Hi there,
Could anybody help me on how to sort a dataframe by one variable in the
dataframe?
Thank you
See ?order.
x - data.frame(a = runif(10), b = 1:10)
x[order(x$a), ]
--sundar
__
R-help@stat.math.ethz.ch mailing
Try RSiteSearch(Sort data frame).
Anyhow, use order() or sort.list() as follows:
dat[order(dat[,'myColumn']),]#Sorts data.frame dat by column myColumn
dat-dat[sort.list(dat$myColumn, decreasing = T),] #Another option to do the
same. You can specify decreasing or increasing within both function
Sorry,
I should specifiy in more detail what my data looks
like. The data vectors (simulations) are mostly
composed of floats (for which it's pretty unlikely to
produce ties), but there are integer values to be
found as well (up to 10% of vector elements).
As I undestand, Marc's algo is not
I'd guess Jun meant the mle() in the stats4 package. It comes with R, but
is not loaded by default, so one would need to do library(stats4) first.
Andy
From: Spencer Graves
Did you do install.packages('nlme') and then
'library(nlme)' before
trying to use 'lme'?
spencer
Hi all,
I was wondering how to create a graph (boxplot) setting the y range of the
graph manually. Something like this:
x - c(1:100)
boxplot(x, yrange(0, 1000))
Thanks for your time,
Adrian
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R-help@stat.math.ethz.ch mailing list
Something like this?
boxplot(runif(100, 0, 100), ylim=c(0, 1000))
Andy
From: Adrian L. Garcia-Lomana
Hi all,
I was wondering how to create a graph (boxplot) setting the y
range of the
graph manually. Something like this:
x - c(1:100)
boxplot(x, yrange(0, 1000))
Thanks for
I'm working with the kmeans function in the stats package. This
function calls complied fortran program:
.Fortran(kmns, as.double(x).)
Is there a way to get the source code for this compiled program kmns??
Philip Bermingham
[[alternative HTML version deleted]]
I feel like a dope for asking this, but after reading various articles I'm
still not quite sure I get it. What is the relationship or similarity
between a probability prediction from a classfication random forest and a
Bayesian posterior probability? Can they be considered similar, or would I
Dear R users,
I have a data with 1000 variables named x1, x2, ..., x1000, and
I want to construct a formula like this format:
~x1+x2+...+x1000+x1:x2+x1:x3+x999:x1000+log(x1)+...+log(x1000)
That is: the base variables followed by all interaction terms and all
base feature log-transformations. I
Off course. That's the beauty of open source :)
You will find the source code at http://cran.r-project.org/ under R
Sources.
Cheers
Francisco
From: Philip Bermingham [EMAIL PROTECTED]
To: r-help@stat.math.ethz.ch
Subject: [R] looking for the source
Date: Tue, 28 Jun 2005 22:36:04 -0400
I'm
I couldn't resist adding a more literal answer
unback - function(x) {
chars - unlist(strsplit(deparse(x),))
chars - chars[-c(1,length(chars))]
paste(gsub(,/,chars),collapse=)
}
unback(\n)
| David Duffy (MBBS PhD) ,-_|\
| email: [EMAIL
Close, but does not work generally with RGui 2.1.1 patched, Windows
XP:
unback(x=n\o)
[1] no
I'm also unable to parse echo, suggested by Ten Harding and Henrik
Bengtsson:
echo D:/spencerg/statmtds/R/Rnews tmp.txt
Error: syntax error
echo cat(gsub(, /,
There is also the mice package at http://www.multiple-imputation.com/
which uses mcmc but is different to Schafer's packages.
Simon.
At 09:30 AM 29/06/2005, James Reilly wrote:
Schafer's functions have been ported to R in the packages norm, cat, mix
and pan. Their documentation includes sample
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