# Resource Library

#### Statistical Topic

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• ### Probability Sampling

This website lists five different types of probability sampling, giving the advantages and disadvantages of each.

• ### ** Binomial Distribution

This JAVA applet is designed to give students practice in calculating basic probabilities using the binomial distribution. The applet gives students short problem descriptions that require a binomial probability to solve. The user is then prompted to follow a step by step process to find the probability. Users must answer a step correctly before the applet will allow them to move on to the next step. The page also gives further exercises that allow the user to think about binomial distributions more deeply and gives a link to a more detailed information about the binomial distribution.
• ### Myth and Reality in Reporting Sampling Error

This article gives a description of typical sources of error in public opinion polls. It gives a short but insightful explanation of what the margin of error indicates as well as other common errors in opinion polls.
• ### Age-Structured Population Growth Applet

This applet allows you to manipulate the starting population, age-class survival rates, and age-class fecundity rates over 10 generations for up to 6 age classes. The default gives you the same population size for each age class as well as the same fecundity rate and survival rates. Move the sliders for each age class to manipulate each of these factors. You will see the relative proportions of each age class will change over time, but will eventually reach a stable age distribution.
• ### Variance and standard deviation

This source defines and explains variance and standard deviation.
• ### The One-Sample t Test

This section on Common Statistical Tests uses an example on faculty publications to show users how to perform a one-sample t test. The discussion includes one-tailed and two-tailed tests.
• ### Likelihood Ratio Test

This site focuses on using the LRT to compare two competing models.
• ### Log-likelihood ratio

This site offers an involved definition of the likelihood ratio test with examples and formulas.
• ### Kruskal-Wallis "Analysis of Variance" by Ranks

Explains how to set up the Kruskal-Wallis test and gives the formula for the test statistic.