This page consists of a web page and Java applet we found on the web. The HTML
and the applet are by Suresh Srinivasan of
Thomson Technology Services Group. There is a link to his home page here.
Sample Distributions
Here is a Java applet that shows how sample means
tend to the population mean as the sample size increases. To illustrate, consider
the experiment of flipping a coin. If the coin is fair, in the long run there
should be about equal numbers of heads and tails, although in small samples
this may not be evident. The same tendency can be observed when sampling from
distributions such as the Gaussian, Exponential and Uniform distributions.
The Probability Density Function (PDF) is overlaid on the sample histogram to show
the expected shape of the sample distribution. Population data is shown in red
and sample data in blue. The vertical lines show the population and current
sample means. [Source].
References
- Walpole, Ronald, E., Myers, Raymond H., "Probability and Statistics for
Engineers and Scientists", Fifth Edition.
- Press, William, H., et al, "Numerical Recipes, The Art of Scientific Computing"