Probability

  • This applet demonstrates the Central Limit Theorem. First, select a distribution (Normal, Uniform, Skewed, Custom) and add or delete data points by clicking on the graph. Then, sample from the parent population and the distribution of the sample mean is shown. Users can also choose to see the distribution of the median, standard deviation, variance, and range.
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  • This applet demonstrates the Binomial distribution by simulating Galton's Board, dropping balls through a triangular array of nails. When a ball hits a nail, it has a 50 percent chance of falling to the left or the right. Because Galton's Board consists of a series of experiments, the piles under the board are the sum of n random variables, where n is the number of rows of nails on the board.
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  • This applet demonstrates the Normal approximation to the Poisson Distribution. Users can set the rate, lambda (‘é), and the number of trials, n, and observe how the shape of the distribution changes. The Poisson distribution is shown in blue, and the Normal distribution is shown in red.
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  • This page helps readers know which statistcal tests are appropriate for the different types of data. Two charts display the information. A discussion of study design and sample size, as well as exercise questions with solutions are also provided.
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  • This page provides a t-table with degrees of freedom 1-30, 60, 120, and infinity and seven levels of alpha from .1 to .0005.

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  • This page provides a z-table with alpha levels from .00 to .09.

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  • This page provides a table of Chi-square distribution probabilities with degress of freedom 1-45.
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  • This page provides a table of F distribution probabilities for alpha = 0.10, 0.05, 0.025, and 0.01.

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  • This table shows the critical values values of the Wilcoxon-Mann-Whitney statistics (Us) for various sample sizes (N1 and N2) and p-values (p).
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  • This applet allows users to input their own data and perform one- and two-way Analyses of Variance. Key Word: ANOVA.

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