Applets for STK1100/1110



1. Overview and descriptive Statistics

1.2 Pictorial and Tabular Methods in Descriptive Statistics

Understanding a histogram

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

Understanding a boxplot


2. Probability

2.1 Sample Spaces and Events

Venn Diagram

         2.3 Counting Techniques

Computing probabilities

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

Guassian Distribution

Exploring the Normal Quantiles

Using a Normal Table

4.4 The Gamma Distribution and its Relatives (instructions)

The Gamma Distribution

The Exponential Distribution

The Chi-Square Distribution

4.5 Other Continuous Distributions (instructions)

    The Weibull Distribution

    The Lognormal Distribution

    The Beta Distribution


    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

    The Central Limit Theorem

    Investigate the Law of Averages

    6.3 Distributions based on a Normal Random Sample (instructions)

    The t Distribution

    Comparing t and Normal distribution

    The F Distribution


    7. Point Estimation

    7.2 Methods of Point Estimation

    Normal Estimation Experiment

    Uniform Estimation Experiment


    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

    Mean Test Experiment

    Proportion Test Experiment

    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)

    Errors in Hypothesis Testing

    9.5 Some comments on Selecting a test procedure (instructions)

    Power of Z-test  and T-test

    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

    Regression and Correlation

    Several Examples of Regression Models

    12.5 Correlation

    Understanding 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.