Other useful links

This section contains links to useful online resources related to the topics covered by the unit element `EMa2 - Applied Statistics'. Since the links point to resources outside this website, I cannot guarantee their availability. Copyright of the respective authors should also be taken into account.

General sites about probability and statistics

• The Probability web [Carleton College] - lots of useful teaching resources and other materials about probability
  
• Virtual Laboratories in Probability and Statistics [University of Alabama in Huntsville] - web-based resources of probability and statistics, some pages require MathML
  
• HyperStat Online [David Lane's website] - lots of applets etc. on statistical topics
  
• Daily Lesson Plan [The New York Times] - real-life coursework in mathematics and statistics based on the topics tackled in the New York Times' articles
  
• Examples for Quantitative Research Methods in Communication course [Robert Griffin, Marquette University in Milwaukee] - short real-life problems with summarising questions and topics for discussion
  
• Probability by surprise [Susan Holmes, Stanford University] - applets demonstrating some "surprising" results in probability like the birthday problem
  
• SticiGui: Statistics Tools for Internet and Classroom Instruction [Philip B. Stark, University of California, Berkeley] - online texts with exercises, some Java demonstrations
  
• Links related to Statistics education [Juha Puranen, University of Helsinki] - an extensive list of links to various sources of teaching materials, texts, courses, journals, statistical articles, quizzes etc.
  
• Web-oriented Teaching Resources in Probability and Statistics [Helsinki University of Technology] - a list of computer demonstrations available online
  

Computer demonstrations sorted according to the topics

Probability

• Door contest (Let's make a deal) (Java) [WebsterWest, University of South Carolina]
  
• Door contest (Let's make a deal) (Java) [University of Illinois]
  
• Binomial coin experiment (Java) [University of Alabama in Huntsville] - tossing n coins
  
• Buffon's coin experiment (Java) [University of Alabama in Huntsville] - throwing a coin on a tiled floor
  
• The Dice experiment (Java) [University of Alabama in Huntsville] - observe the distribution when throwing n dice
  
• The Die-Coin experiment (Java) [University of Alabama in Huntsville] - this consists of rolling a die and then tossing a coin the number of times shown on the die
  
• The Bertrand's paradox (Java) [University of Alabama in Huntsville] - demonstration on the various approaches to solving the Bertrand's paradox
  

Distributions

• Probability Calculator (Java) [Philip B. Stark, University of California, Berkeley] - calculates the probability that the value of a random variable is in given range, for a variety of distributions
  
• Binomial histogram (Java) [Philip B. Stark, University of California, Berkeley]
  
• Student's t-distribution (Java) [Philip B. Stark, University of California, Berkeley]
  
• Quantile applet (Java) [University of Alabama in Huntsville] - displays quantiles and cummulative probabilities for various distributions
  
• The Poisson experiment (Java) [University of Alabama in Huntsville] - running a Poisson process
  

Normal Distribution

• The Normal Curve (Java) [Philip B. Stark, University of California, Berkeley] - shape of normal distribution, given parameters
  
• Probabilities under the Normal curve (Java)[Philip B. Stark, University of California, Berkeley]
  
• Normal Approximation to the Binomial Distribution(Java) [David M. Lane, Rice University]
  

Sampling and statistics

• Distribution of the Sample Sum, Sample Mean, Sample S2, and Sample Chi-Squared (Java) [Philip B. Stark, University of California, Berkeley]
  
• Sampling distributions (Java) [David M. Lane, Rice University] - observe the distribution of mean, variance, etc. when sampling from various distributions
  
• Sampling from various distributions (Java) [University of Alabama in Huntsville]
  
• The Normal sampling experiment (Java) [University of Alabama in Huntsville] - calculating statistics from samples from normal distribution
  

Confidence intervals

• Confidence intervals demo (Java) [David M.Lane, Rice University] - observe the proportion of samples falling into the given confidence interval
  
• Confidence intervals applet (Java) [Webster West, University of South Carolina] - generate random samples and observe the proportion of samples falling into the given confidence interval
  
• Confidence interval for means (Java) [Charles Stanton, California State University] - generate random samples and observe the proportion of samples falling into the given confidence interval
  
• Mean Estimate Experiment (Java) [University of Alabama in Huntsville] - select a random sample of size n from a specified distribution, and then to construct an approximate confidence interval for the mean at a specified confidence level
  
• Proportion Estimate Experiment (Java) [University of Alabama in Huntsville] - select a random sample of size n from the Bernoulli distribution with parameter p, and then to construct an approximate confidence interval for p at a specified confidence level
  
• Variance Estimate Experiment (Java)[University of Alabama in Huntsville] - select a random sample of size n from a specified distribution, and then to construct an approximate confidence interval for the standard deviation at a specified confidence level
  

Hypothesis testing

• Mean Test Experiment (Java) [University of Alabama in Huntsville] - select a random sample of size n from a selected distribution and then test a hypothesis about the mean m at a specified significance level
  
• Proportion Test Experiment (Java) [University of Alabama in Huntsville] - select a random sample of size n from the Bernoulli distribution with parameter p, and then test a hypothesis about p at a specified significance level
  
• Variance Test Experiment (Java) [University of Alabama in Huntsville] - select a random sample of size n from a selected distribution and then test a hypothesis about the standard deviation d at a specified significance level
  

Goodness of Fit - Chi square test

• Chi Square Test of Deviation (Java) [David M. Lane, Rice University] - Chi Square Test of Deviation from Theoretical Values for data sampled from normal or uniform distribution
  
• Dice Experiment (Java) [University of Alabama in Huntsville] - select a random sample from a specified distribution and perform the chi-square goodness of fit test to another specified distribution, at a specified level of significance
  

Correlation and regression

• Scatter, correlation and regression (Java) [Philip B. Stark, University of California, Berkeley] - Sample data with given correlation coefficient
  
• Components of r (Java) [David M. Lane, Rice University] - shows the ration of variance in Y explained and unexplained by X
  
• Regression by eye (Java) [David M. Lane, Rice University] - try to draw the regression line to given data
  
• Reliability and Regression Analysis (Java) [David M. Lane, Rice University] - influence of unreliability in data on the quality of regression analysis
  
• Guessing correlations (Java) [University of Illinois] - choose correct correlation coefficient for presented data
  
• Putting points (Java) [University of Illinois] - put points into graph and observe the regression line and residuals
  
• Transformations (Java) [David M. Lane, Rice University] - demonstrates how transformations affect the relationship between two variables
  

Sources of statistical articles, and other materials

• Journal of Official Statistics - publishes articles on statistical methodology and theory, withan emphasis on applications
  
• Basic principles of statistical analysis [R.Baker, University of Saskatchewan] - how to procede when creating a statistical model
• StatLib - Applied Statistics algorithms [Royal Statistical Society] - Routines for statistical algorithms in Pascal, Algol, and Fortran
• Numerical Recipes in C - Contains algorithms and the background theory also for probability and statistics. Excellent source.
• StatSoft Electronic Textbook - covers elementary concepts in statistics
• Data surfing on the World Wide Web - links to publicly available datasets