From: Subject: Stata Teaching Tools: Dice rolling simulation Date: Fri, 6 May 2005 13:19:15 +0200 MIME-Version: 1.0 Content-Type: multipart/related; type="text/html"; boundary="----=_NextPart_000_015A_01C5523E.33BF9250" X-MimeOLE: Produced By Microsoft MimeOLE V6.00.2900.2180 This is a multi-part message in MIME format. ------=_NextPart_000_015A_01C5523E.33BF9250 Content-Type: text/html; charset="Windows-1252" Content-Transfer-Encoding: quoted-printable Content-Location: http://www.ats.ucla.edu/stat/stata/ado/teach/clt.htm Stata Teaching Tools: Dice rolling simulation
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Stat=20 Computing > Stata=20 > Ado = > Teach
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Stata Teaching Tools:  Central limit theorem

Purpose:  The purpose of this program is to=20 illustrate the central limit theorem.  The user may select the = type of=20 distribution, the number per sample and the number of samples.  = Several=20 display options are also available.

Download:  You can download this = program from=20 within Stata by typing findit clt (see How can I=20 used the findit command to search for programs and get additional=20 help? for more information about using=20 findit).

Use of program:  To use this program, type clt = in the=20 Stata command window.  This opens a dialogue window with numerous = pull-down menus, check boxes and buttons.  The first pull-down = menu=20 allows the user to select the type of distribution:  normal, = log-normal,=20 exponential, bimodal, binomial or uniform.  If binomial is = selected, a=20 pull-down menu allows the user to select the probability.  = Pull-down=20 menus also allow the user to select the number (N) per sample and the = number=20 of samples.  Four check boxes allow the user to modify the graph = that=20 will be displayed by 1) showing a normal curve overlaid on the = histogram, 2)=20 draw lines at one and two standard deviations above and below the = mean, 3)=20 show the means as z-scores and 4) show sums instead of means.  = This last=20 option is useful when working with a binomial distribution.  = Another=20 check box has the program show the distribution being built (i.e., = animating=20 the building of the histogram).  A pull-down menu allows the user = to=20 control the speed of the frames of the animation.  This can be = done by=20 clicking on the down-arrow to the right of "delay between steps =3D = ".  The=20 higher the number, the slower the animation.  Once all of the = selections=20 have been made, click on the "show" button to view the resulting=20 histogram.  To exit the program, click on the "done"  = button.

Examples:  The following example shows the dialogue = window that=20 opens after issuing the clt command and the resulting histogram = if only=20 the "show" button is pressed without altering any of the default=20 settings.  

The following shows the results of requesting a binomial = distribution with=20 a probability of .8, using a sample size of five and 500 = samples.  Note=20 that the sums are used on the X axis instead of the = means.

The following shows the results of requesting an exponential = distribution=20 with a sample size of 100 and 2000 samples.  Lines are drawn at = the mean,=20 as well as one and two standard deviations above and below the=20 mean.

The following shows the results of requesting a uniform = distribution with a=20 sample size of 200, 1000 samples and a normal curve overlaid on the=20 graph.


Still have questions?
UCLA Researchers are invited = to our Statistical = Consulting=20 Services, including sending us questions at 3D"ATSstat.
We recommend others to our list of Other Resources = for=20 Statistical Computing Help.

Comments? Suggestions?=20 Corrections?
Please send your comments/suggestions/corrections to the = ATS=20 Stat Consulting Group at 3D"ATSstat.


SAS | SPSS | = Stata | HLM | MLwiN | SUDAAN | WesVar | S-Plus/R | Limdep
Statistical=20 Computing
These pages are Copyrighted (c) by = UCLA=20 Academic Technology Services

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