Support for the
Java 2 runtime environment (version 1.4 or later). Click on the icon to download the appropriate
plug-in.Object Library > Applets > Bivariate Uniform Experiment
The experiment generates a point (X, Y) from a uniform distribution on a region of the plane. Any of the following regions can be selected with the list box:
The random point is shown has a red dot in the scatterplot, and the coordinates are recorded on each update. The scatterplot also shows the distribution regression line in blue and the empirical regression line in red. The distribution density and moments are shown in blue in the distribution graphs and the moments are recorded in the distribution tables. On each update, the empirical density and moments are shown in red in the distribution graphs and are recorded in the distribution tables. The distribution and empirical correlations are recorded in the last table.
This experiment illustrates the bivariate uniform distribution and the corresponding marginal distributions. In particular, students can see the relationship between the marginal distributions and the geometry of the region. More generally, the experiment illustrates the concepts of regression and correlation. For a more detailed mathematical analysis, see
Click on the link below to download the Java archive file:
To add the applet to your web page, insert the following in the html file, at the point where you want the applet to appear:
<applet code="edu.uah.math.experiments.BivariateUniformExperiment.class"
archive="BivariateUniformExperiment.jar" width="600" height="450"></applet>
The jar file and the html file must be in the same folder.
This width and height dimensions are simply suggestions and can be varied. Generally, components such as graphs and tables expand and contract proportionally, while components such as buttons, scrollbars, dice, and coins are fixed in size.
Support for the
Java 2 runtime environment (version 1.4 or later). Click on the icon to download the appropriate
plug-in.Copyright © 2001-2003 Kyle Siegrist, Dawn Duehring
This program is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 2 of the License, or (at your option) any later version.
This program is distributed in the hope that it will be useful, but without any warranty; without even the implied warranty of merchantability or fitness for a particular purpose. See the GNU General Public License for more details.
If you are interested in the Java source code or the Java documentation and object model for this applet, please visit BivariateUniformExperiment in the Object section of the Library.