The new (5th) edition is available now, both as an eText or as a rental book!

The new (5th) edition is available now, both as an eText or as a rental book!

Explore statistical concepts in an interactive way. Use the apps to construct graphs, obtain summary statistics, find probabilities, get confidence intervals or fit linear regression models. Take screenshots or download graphs of your data.

Exploratory Data Analysis

Association, Correlation & Regression

Construct 2 x 2 contingency tables, obtain conditional proportions and get a bar graph. Find the **difference** or **ratio** of proportions to describe the strength of the association. Built the sampling distribution of the difference or ratio via resampling.

Construct interactive scatterplots, hover over points, move them around (or remove them) and overlay a smooth trend line. Find the **correlation coefficient *** r *and see if it is robust to outliers. Built the sampling distribution of

*Under Construction.* In the meantime, use the Multivariate Relationships app, which has some capablities to fit a multiple linear regression model with two explanatory variables.

*Under Construction.* Fit and visualize a simple exponential regression model to data such as the number of COVID-19 infections in New York City in March 2020 (Example 16, Chapter 13).

*Under Construction.* Fit a logistic regression model with a single quantitative predictor. Obtain parameter estimates, a graph of the fitted probabilities and construct confidence intervals.

Distributions: Explore Shapes & Find Probabilities

Sampling Distributions and the Central Limit Theorem

Experience how the sampling distribution of the **sample proportion** builds up one sample at a time. Use sliders to explore the shape of the sampling distribution as the sample size n increases, or as the population proportion p changes. Overlay a normal distribution to explore the Central Limit Theorem.

Experience how the sampling distribution of the **sample mean** builds up one sample at a time. Use a variety of real or theoretical **continuous** population distributions (or create your own) to draw samples from. Move sliders to explore when the Central Limit Theorem kicks in.

Experience how the sampling distribution of the **sample mean** builds up one sample at a time. Use a variety of real or theoretical **discrete** population distributions (or create your own) to draw samples from. Move sliders to explore when the Central Limit Theorem kicks in.

Confidence Intervals & Significance Tests (One Sample)

Confidence Intervals & Tests Comparing Two Groups

**Confidence intervals** or **hypotheses tests** about the *difference of two population proportions*. Obtain the margin of error or the z-test statistic and visualize the interval or the **P-value** on a graph.

For two *independent* or *dependent* samples.

Find the **bootstrap** or **permutation** distribution for the *difference* or *ratio* of two proportions, or for the odds-ratio. Use these to obtain percentile confidence intervals or permutation P-values for testing whether there is no association.

Inference for Comparing Several Groups

*Under Construction*

**Copyright © 2021 Bernhard Klingenberg - All Rights Reserved.**