This site is an index of modules which cover probability and statistics topics including basic probability, random variables, moments, distributions, data analysis including regression, moving averages, exponential smoothing, and clustering.
DataCounts! is an interactive website designed to help integrate social statistics into the classroom setting. Each collection contains a wide variety of datasets that can be viewed online with WebCHIP. DataCounts! also houses a collection of teaching modules that have been created by teachers across the country to integrate social science data into their classes.
StatVillage is a hypothetical village in Canada. Homes in StatVillage are laid out in a system of blocks on a rectangular grid with 8 homes per block. In the middle of each group of 8 homes is a playing area. Houses are addressed using a block and unit-within-block system. Services (e.g. food stores, shops) are located on the periphery of the village and are not shown on the map. Households can be selected for a survey by using a clickable map.
This site lists a set of case studies that cover regression topics, random number calculations of pi, as well as limit theorems. On the individual case study pages are the descriptions and/or instructions.
This page is a guide to writing and using statistics in the field of science. It is aimed at biology students. It contains information on formatting and the use of tables as well as links to pages about frequency analysis, t-tests, and regression.
The Marble Game is a "concept model" demonstrating how a binomial distribution evolves from the occurence of a large number of dichotomous events. The more events (marble bounces) that occur, the smoother the distribution becomes.
This is an exercise in interpreting data that is generated by a phenomenon that causes the data to become biased. You are presented with the end product of this series of events. The craters occur in size classes that are color-coded. After generating the series of impacts, it becomes your assigned task to figure out how many impact craters correspond to each of the size class categories.
This website contains more real analysis, general topology and measure theory than actual probability. It is more about the foundations of probability theory, than probability itself. In particular, it is a very suitable resource for anyone wishing to study the Lebesgue integral. These tutorials are designed as a set of simple exercises, leading gradually to the establishment of deeper results. Proved Theorems, as well as clear Definitions are spelt out for future reference. These tutorials do not contain any formal proof: instead, they will offer you the means of proving everything yourself. However, for those who need more help, Solutions to exercises are provided, and can be downloaded.
This online, interactive lesson on random samples provides examples, exercises, and applets concerning sample mean, law of large numbers, sample variance, partial sums, central limit theorem, special properties of normal samples, order statistics, and sample covariance and correlation.
