Statistical Inference & Techniques

• The Central Limit Theorem Applets

The applets in this section of Statistical Java allow you to see how the Central Limit Theorem works. The main page gives the characteristics of five non-normal distributions (Bernoulli, Poisson, Exponential, U-shaped, and Uniform). Users then select one of the distributions and change the sample size to see how the distribution of the sample mean approaches normality. Users can also change the number of samples. To select between the different applets you can click on Statistical Theory, the Central Limit Theorem and then the Main Page. At the bottom of this page you can make your applet selection. This page was formerly located at http://www.stat.vt.edu/~sundar/java/applets/
• ** Sampling Distributions

This applet simulates and plots the sampling distribution of various statistics (i.e. mean, standard deviation, variance). The applet allows the user to specify the population distribution, sample size, and statistic. An animated sample from the population is shown and the statistic is plotted. This can be repeated to produce the sampling distribution of the statistic. After the sampling distribution is plotted it can be compared to a normal distribution by overlaying a normal curve. These features make it useful for introducing students in a first course to the idea of a sampling distribution. The site also includes instructions and exercises. Also available at: http://www.stat.ucla.edu/~dinov/courses_students.dir/Applets.dir/SamplingDistributionApplet.html
• Analysis Tool(s): JAVA Analysis Lab

(Uses JAVA)  Some basic statistical analysis tools that allow the user to input their own data or use the pre-existing data and perform the desired test (e.g ANOVA, Descriptive, t-test, chi-square, correlation and regression).

• Poem: Statistics

Statistics is a poem by Canadian physician Neil Harding McAlister (1952 - ). The poem contains material that can help with class discussions about sample surveys, medical experiments, and significance testing.
• **Tools for Teaching and Assessing Statistical Inference: Sampling SIM

This website helps students learn concepts underlying statistical inference, through the simulation software, Sampling SIM. This software lets students explore sampling distributions by building population distributions, taking random samples, and exploring the behavior of sampling distributions and confidence intervals. The site includes instructional modules and assessment instruments. Key words: measures of center, sampling, sampling distribution, confidence interval, p-values, power
• Variance and Standard Deviation

This resource defines and explains variance and standard deviation.
• Standard Deviation

This resource defines and explains standard deviation and the normal distribution.