# Univariate Distributions

• ### Introduction to Biostatistics (Estimation)

The sixth chapter of an online Introduction to Biostatistics course. Three sets of lecture notes are provided (only the first one works). Additionally, links for additional reading and exercises with solutions are provided.

• ### introduction to Biostatistics (Bernoulli and Binomial Distributions)

This resource provides two sets of detailed notes on the Bernoulli and Binomial distributions. Additional readings, examples, exercises, and links to applets illustrating the respective distributions are also given.

• ### "Probability by Surprise" Applets

A collection of several applets related to probability.

• ### Student's T Distribution

The larger the degrees of freedom, the closer the t-density is to the normal density. This reflects the fact that the standard deviation s approaches for large sample size n. You can visualize this in the given applet by moving the sliders.
• ### ** 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.
• ### 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.
• ### Hypothesis Testing for a Proportion and Small Samples

This site explains small sample hypothesis testing for a normal population and hypothesis testing for a population proportion. Includes examples and exercises.
• ### 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.
• ### The Kruskal-Wallis Test for 3 or More Independent Samples

This chapter of the "Concepts and Applications of Inferential Statistics" online textbook describes in detail the Kruskal-Wallis test, it's formulas, variables, and procedures using an example involving wine-tasters.