# Resource Library

#### Statistical Topic

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• ### Poisson Sampling Distribution Generator

This page generates a Poisson distribution, as approximated by the Binomial. After clicking continue, users must enter the sample size (n>39) and probability of success (between 0.0 and 0.2, inclusive). A graph of the Poisson distribution with mean=np is shown as well as a table of the Poisson probabilities. Key Word: Poisson Calculator.

• ### Poisson Sampling Distribution Generator (with Specific Mean)

This page generates a histogram of a Poisson distribution and the associated table of probabilities. Upon opening the page, users will be prompted to enter the mean of the distribution (between 0.01 and 20.0, inclusive). Key Word: Poisson Calculator.

• ### Standard Error Calculator of the Difference Between the Means of Two Samples

The page displays the sampling distribution and the standard error of the difference between two sample means. To calculate standard error, enter the standard deviation of the source population, along with the sample sizes, Na and Nb, and then click "Calculate".

• ### Textbook: Concepts and Applications of Inferential Statistics

This textbook from VassarStats introduces various statistical topics and contains interactive components. Topics include: Measurement Principles; Distributions; Correlation; Regression; Partial Correlation; Rank-Order Correlation; Statistical Significance; Sampling Distributions; Hypothsis Tests; Probability; Chi-Square; Fisher's Exact Test; t-Distribution; t-test; Mann-Whitney Test; Wilcoxon Signed-Rank Test; Analysis of Variance; F-Distribution; Kruskal-Wallis Test; Friedman Test; Analysis of Covariance. Several calculators and generators include: Binomial Probability; Normal Probability; Binomial Sampling Distribution; Chi-Square Sampling Distribution.

• ### Central Limit Theorem

Illustrates the central limit theorem by allowing the user to increase the number of samples in increments of 100, 1000, or 10000.

• ### Chi-Square Sampling Distribution Generator

This page generates a graph of the Chi-Square distribution and displays the associated probabilities. Users enter the degrees of freedom (between 1 and 20, inclusive) upon opening the page.

• ### z to P Calculator

Calculates the areas under the curve of the normal distribution falling to the left of -z, to the right of +z, and between -z and +z.

• ### Analysis Tool: Bayes' Theorem and Conditional Probabilities

To perform calculations using Bayes' theorem, enter the probability for one or the other of the items in each of the following pairs (the remaining item in each pair will be calculated automatically). A probability value can be entered as either a decimal fraction such as .25 or a common fraction such as 1/4

• ### Analysis Tool: Bayes' Theorem and "Adjustment of Subjective Confidence"

An application of Bayes Theorem that performs the same calculations for the situation where the several probabilities are constructed as indices of subjective confidence.

• ### Analysis Tool: Binomial Distribution

This page will generate a graphic and numerical display of the properties of a binomial sampling distribution, for any values of p and q, and for values of n between 1 and 40, inclusive.