STATISTICAL TOOLS

• Simulations ( Rice Virtual Lab in Statistics )

• mean and median
• sampling distribution
• confidence intervals
• normal approximation to binomial
• and others

• Statiscope ( Mikael Bonnier, Lund, Sweden)

• summarizing data
• boxplots, stem and leaf plots, histograms and other charts
• hypotheses testing, confidence intervals

• Venn Diagram (Philip B. Stark, UC Berkeley)

• highlighting sets, intersections and union
• changing the location of sets
• computation of probabilities

• Monty Hall (Department of Mathematics at the University of California at San Diego)

• The famous problem of the TV Show "Let's make a deal."

• Roulette (Department of Mathematics at the University of California at San Diego)

• The gambler's ruin problem.
• Betting until ruin
• Change your initial capital and the probability of winning

• Binomial Distribution ( Philip B. Stark, UC Berkeley)

• Binomial histograms
• change n and p

• Normal Distribution ( Philip B. Stark, UC Berkeley)

• visualize the changing shape of the normal curve with varying means and variances

• Normal Approximation ( David Lane, Rice University)

• This demonstrates the normal approximation to the binomial distribution.

• Sample distribution ( Craig Merrill, Brigham Young University )

• Samples from Gaussian, Exponential, Uniform
• distribution of sample mean

• Sample mean ( Philip B. Stark, UC Berkeley)

• pseudo-random samples form {1,2,3,4,5}
• change sample sizes

• Confidence Intervals ( Webster West, University of South Carolina)

• The confidence intervals that do not contain the true mean are marked in red.
• Choose alpha.

• Confidence Intervals ( Philip B. Stark, UC Berkeley)

• take samples and check location of confidence intervals

• Correlation ( Department of Statistics at the University of Illinois)

• guessing correlation coefficients

• Regression ( Department of Statistics at the University of Illinois)

• After putting points on graph area the correlation coefficient, regression line and residuals are computed and displayed.

• Regression ( Philip B. Stark, UC Berkeley)

• change correlation coefficient and number of points on the plot
• add points
• regression line

• Leverage points ( Webster West, University of South Carolina)

• shows effect of leverage points on the regression line

• Chisquare ( Department of Statistics at the University of Illinois)

• fill in observed and expected counts
• simulate distribution of chisquare statistic