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written by Wolfgang Christian
content provider: Anne Cox
A Galton board is a vertical board with n rows of pegs onto which a ball is dropped.   Each time a ball hits a peg, it has a probability p of bouncing to the left and a probability of 1-p of bouncing to the right. The simulation's histogram shows the distribution of x-coordinates as the balls leave the board and are collected into bins.

The simulation gives rise to the binomial distribution if the probabilities of left and right bounces are equal. At first there does not seem to be any pattern but after many trials the familiar "bell curve" shape begins to emerge.

The Galton Board model was created using the Easy Java Simulations (Ejs) modeling tool.  It is distributed as a ready-to-run (compiled) Java archive.  Double clicking the ejs_stp_GaltonBoard.jar file will run the program if Java is installed.  Ejs is a part of the Open Source Physics Project and is designed to make it easier to access, modify, and generate computer models.  Additional Ejs models for statistical and thermal physics are available.  They can be found by searching ComPADRE for Open Source Physics, OSP, or Ejs.

Please note that this resource requires at least version 1.5 of Java (JRE).
View the source code document attached to this resource
Subjects Levels Resource Types
General Physics
- Computational Physics
- Measurement/Units
= Error
Mathematical Tools
- Probability
Thermo & Stat Mech
= Binomial Distribution
- Upper Undergraduate
- Lower Undergraduate
- High School
- Instructional Material
= Model
= Simulation
Intended Users Formats Ratings
- Learners
- Educators
- application/java
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Access Rights:
Free access
License:
This material is released under a GNU General Public License Version 3 license.
Rights Holder:
Wolfgang Christian
PACSs:
01.50.hv
07.05.Tp
02.50.-r
Record Creator:
Metadata instance created June 6, 2008 by Wolfgang Christian
Record Updated:
June 6, 2014 by Andreu Glasmann
Other Collections:

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Record Link
AIP Format
W. Christian, Computer Program GALTON BOARD MODEL (2008), WWW Document, (http://www.compadre.org/Repository/document/ServeFile.cfm?ID=7407&DocID=553).
AJP/PRST-PER
W. Christian, Computer Program GALTON BOARD MODEL (2008), <http://www.compadre.org/Repository/document/ServeFile.cfm?ID=7407&DocID=553>.
APA Format
Christian, W. (2008). Galton Board Model [Computer software]. Retrieved September 3, 2014, from http://www.compadre.org/Repository/document/ServeFile.cfm?ID=7407&DocID=553
Chicago Format
Christian, Wolfgang. "Galton Board Model." http://www.compadre.org/Repository/document/ServeFile.cfm?ID=7407&DocID=553 (accessed 3 September 2014).
MLA Format
Christian, Wolfgang. Galton Board Model. Computer software. 2008. Java (JRE) 1.5. 3 Sep. 2014 <http://www.compadre.org/Repository/document/ServeFile.cfm?ID=7407&DocID=553>.
BibTeX Export Format
@misc{ Author = "Wolfgang Christian", Title = {Galton Board Model}, Year = {2008} }
Refer Export Format

%A Wolfgang Christian
%T Galton Board Model
%D 2008
%U http://www.compadre.org/Repository/document/ServeFile.cfm?ID=7407&DocID=553
%O application/java

EndNote Export Format

%0 Computer Program
%A Christian, Wolfgang
%D 2008
%T Galton Board Model
%U http://www.compadre.org/Repository/document/ServeFile.cfm?ID=7407&DocID=553


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The AIP Style presented is based on information from the AIP Style Manual.

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Galton Board Model:

Is Based On Easy Java Simulations Modeling and Authoring Tool

The Ejs tool is needed to explore the computational model.

relation by Anne Cox

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