Object Library > Applets > Probability Plot Experiment
The experiment is to select a random sample of size n from a specified distribution and graphically test the data against a hypothesized parametric family of distributions. The sampling distribution can be chosen from the list box; the options are the normal, exponential, and uniform; in each case the appropriate parameters can be varied with scroll bars. Similarly, the test distribution can be selected from a list box; the options are the standard normal distribution, the uniform distribution on (0, 1), or the exponential distribution with parameter 1.
The density function of the sampling distribution is shown in the first graph in blue, and on each update, the sample values are shown in red. The sample values are arranged in increasing order (these are the order statistics) and recorded in the first table on each update. The density function of the test distribution is shown in blue in the second graph. The quantiles of order i / (n + 1) for i = 1, 2, ..., n are shown in red in the second graph and are recorded in the second table. On each update, the order statistic-quantile pairs are plotted in the third graph (this is the probability plot).
This applet illustrates the topics and concepts in the list below. Click on the links to learn more about the mathematical theory.
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.ProbabilityPlotExperiment.class"
archive="ProbabilityPlotExperiment.jar" width="650" 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.
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 ProbabilityPlotExperiment in the Object section of the Library.