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 Normal Experiment
The experiment generates a point (X, Y) from a bivariate normal distribution with mean (0, 0). The point is shown graphically as a red dot in the scatterplot, and the coordinates are recorded on each update. The distribution regression line is shown in blue in the scatterplot, and on each update, the sample regression line is shown in red. The density function and moments of X and of Y are shown in blue 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 the empirical moments are recorded in the distribution tables. The last table gives the distribution and empirical correlation. The distribution standard deviations and correlations can be varied with scroll bars. You may have to undock the toolbar to make all of the controls visible.
This experiment illustrates the bivariate normal distribution and its corresponding marginal distributions. In particular, students can vary the correlation parameter and see that the marginal distributions remain the same while the bivariate distribution changes dramatically. More generally, the experiment illustrates the concepts of correlation and regression. 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.BivariateNormalExperiment.class"
archive="BivariateNormalExperiment.jar" width="600" height="400"></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 BivariateNormalExperiment in the Object section of the Library.