# [R] plot - central limit theorem

Yihui Xie xieyihui at gmail.com
Thu Oct 16 06:51:25 CEST 2008

```Thanks, Roger, your demo is interesting. I'm thinking about improving it later.

I've also made a demo for the CLT in my package 'animation', in which
there's also normality testing for the sample means, because I don't
think "bell-shaped" alone means normality - so I performed the
Shapiro-Wilk test and plotted the P-values under the demo. See the
function clt.ani() in the package 'animation', or
http://animation.yihui.name/prob:central_limit_theorem

You can use any function to denote the population (specify the
argument 'FUN') in clt.ani().

Regards,
Yihui
--
Yihui Xie <xieyihui at gmail.com>
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Renmin University of China, Beijing, 100872, China

On Thu, Oct 16, 2008 at 4:22 AM, roger koenker <rkoenker at uiuc.edu> wrote:
> Galton's 19th century mechanical version of this is the quincunx.  I have a
> (very primitive) version of this for R at:
>
>        http://www.econ.uiuc.edu/~roger/courses/476/routines/quincunx.R
>
>
> url:    www.econ.uiuc.edu/~roger            Roger Koenker
> email    rkoenker at uiuc.edu            Department of Economics
> vox:     217-333-4558                University of Illinois
> fax:       217-244-6678                Champaign, IL 61820
>
>
>
>> Jörg Groß wrote:
>>>
>>> Hi,
>>>
>>>
>>> Is there a way to simulate a population with R and pull out m samples,
>>> each with n values
>>> for calculating m means?
>>>
>>> I need that kind of data to plot a graphic, demonstrating the central
>>> limit theorem
>>> and I don't know how to begin.
>>>
>>> So, perhaps someone can give me some tips and hints how to start and
>>> which functions to use.
>>>
>>>
>>>
>>> thanks for any help,
>>> joerg
>>>
>

```