Contents
1. Overview and descriptive Statistics
1.2 Pictorial and Tabular Methods in Descriptive Statistics
Empirical and probability histograms for the sum and product of two dice
Changing the bindwith in histrogram
1.3 Measures of Location
Investigate properties of the mean and median of a distribution
1.4 Measures of Variability
Investigate the deviations of values from the mean
Standard deviation of a distribution
2. Probability
2.1 Sample Spaces and Events
2.3 Counting Techniques
Tossing a coin
2.4 Conditional Probability
Conditional Probability Experiment
3. Discrete Random Variables and Probability Distributions
3.5 The Binomial Probability Distribution (instructions)
Exploring the Binomial Distribution
Computing the Expectation and Variance
3.6 Hypergeometric and Negative Binomial Distribution (instructions)
The Hypergeometric Distribution
The Negative Binomial Distribution
3.7 The Poisson Probability Distribution (instructions)
Exploring the Poisson Distribution
4. Continuous Random Variables
4.3 The Normal Distribution
Exploring the Normal Quantiles
4.4 The Gamma Distribution and its Relatives (instructions)
4.5 Other Continuous Distributions (instructions)
5. Joint Probability Distributions
5.3 Conditional Distributions
The Bivariate Normal Distribution
5.5 Order Statistics
Finite Order Statistic Experiment
6. Statistics and Sampling Distributions
6.1 Statistics and Their Distributions
Monte Carlo Simulation Experiment
6.2 The distribution of the Sample Mean
Investigate the Law of Averages
6.3 Distributions based on a Normal Random Sample (instructions)
Comparing t and Normal distribution
7. Point Estimation
7.2 Methods of Point Estimation
8. Statistical Intervals Based on a Single Sample
8.1 Basic Properties of Confidence Intervals
Confidence interval for the mean of normal population
8.2 Large-Sample Confidence Intervals for a Population Mean and Proportion
Estimate the proportion of orange balls in the large jar
Confidence Intervals for a Proportion
8.4 Confidence Intervals for the Variance of a Normal
Confidence interval for the standard deviation
8.5 Bootstrap Confidence Intervals
Bootstrapping the mean and median
9. Tests of Hypotheses Based on a Single Sample
9.2 Tests about a Population Mean
Normal Population with known variance
9.4 P-Values
Use a p-value to make a decision about whether a coin is fair
Understand the null and alternative distribution (instructions)
9.5 Some comments on Selecting a test procedure (instructions)
10. Inference Based on Two Samples
Inferences about two population means via a randomization test
12. Regression and Correlation
12.2 Estimating Model Parameters
Learning about Parameters in Linear Regression
Several Examples of Regression Models
12.5 Correlation
12.7 Multiple Regression Analysis
Polynomial Regression Data Fit
In this page you will find resources (e.g. applets and interactive learning devices) freely available on the Internet to provide an easy comprehension of a wide range of topics covered in the primary textbook, Devore & Berk: Modern Mathematical Statistics with Applications, second edition, Springer 2012 (and the 2007 version from Duxbury). Note that all links are in English, and most of them require that Java is installed on your computer. Click here to check if you have Java.