From: Peter Dalgaard <p.dalgaard_at_biostat.ku.dk>

Date: Fri 22 Apr 2005 - 06:21:39 EST

Date: Fri 22 Apr 2005 - 06:21:39 EST

(Ted Harding) <Ted.Harding@nessie.mcc.ac.uk> writes:

> On 21-Apr-05 Paul Smith wrote:

*> > Dear All
**> >
**> > I am totally new to R and I would like to know whether R is able and
**> > appropriate to illustrate to my students the Central Limit Theorem,
**> > using for instance 100 independent variables with uniform distribution
**> > and showing that their sum is a variable with an approximated normal
**> > distribution.
**> >
**> > Thanks in advance,
**> >
**> > Paul
**>
**> Similar to Francisco's suggestion:
**>
**> m<-numeric(10000);
**> for(k in (1:20)){
**> for(i in(1:10000)){m[i]<-(mean(runif(k))-0.5)*sqrt(12*k)}
**> hist(m,breaks=0.3*(-15:15),xlim=c(-4,4),main=sprintf("%d",k))
**> }
*

Ted, you and several others in this thread may want to notice the existence of a little function called replicate():

...

m <- replicate(10000, (mean(runif(k))-0.5)*sqrt(12*k)) ...

-- O__ ---- Peter Dalgaard Blegdamsvej 3 c/ /'_ --- Dept. of Biostatistics 2200 Cph. N (*) \(*) -- University of Copenhagen Denmark Ph: (+45) 35327918 ~~~~~~~~~~ - (p.dalgaard@biostat.ku.dk) FAX: (+45) 35327907 ______________________________________________ R-help@stat.math.ethz.ch mailing list https://stat.ethz.ch/mailman/listinfo/r-help PLEASE do read the posting guide! http://www.R-project.org/posting-guide.htmlReceived on Fri Apr 22 06:24:23 2005

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