# Applets for STK1100/1110

Contents

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

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.