Art of Stat: Resampling 4+

Bootstrap Confidence Intervals and Permutation Tests for Means, Medians, Proportions and the Correlation Coefficient or Slope

Modern statistical calculator for teachers and students of statistics.

The Art of Stat: Resampling app lets you find bootstrap confidence intervals and permutation P-values. The app illustrates the procedures interactively so you can understand how they work. Several example datasets are preloaded for you to explore, but you can also enter your own data or import a CSV file.

The following resampling methods are implemented:

- Bootstrap Confidence Interval for a population mean, median, or standard deviation.

- Bootstrap Confidence Interval for a population proportion or the population odds.

- Bootstrap Confidence Interval for a population correlation (Pearson and Spearman) or the population slope of a regression model.

- Bootstrap Confidence Interval for the difference of two population means or medians.

- Permutation Test for a population mean or median.

- Permutation Test for the difference of two population means or medians.

And coming soon:
- Permutation Test for the independence of two categorical variables (Permutation Chi-Squared Test)

Easily find the bootstrap confidence interval based on the percentile and other methods. For inference about the population mean, compare results to traditional methods based on the Student-t distribution.

Each procedure has three screens:

1) Enter Data, where you provide the data and obtain descriptive statistics and corresponding graphs (Histogram, Boxplot, Bar Chart).

2) Simulate Distribution, where you generate the sampling distribution (or the null distribution for permutation tests) of a chosen statistic.

3) Confidence Interval/Permutation P-value, where you use the generated distribution to obtain the confidence interval or the permutation P-value, along with lots of supporting information and comparison to classical, central-limit-based inference.

The app also has a Data Editor spreadsheet for you to enter or edit (and save) your own data.