Statistics apps

Interactive explorations for the course on Probability and Statistics at GUGC.

Distributions

Density as a limit of histograms

Add samples and watch the histogram settle onto the density curve.

 Distributions

Normal approximation to the binomial

When does a normal curve describe B(n, p) well, and when does it break down?

 Sampling

The central limit theorem

Sample means of skewed and heavy-tailed populations, and where the CLT fails.

 Simulation

Monte Carlo

Throw random points at a square and estimate the area of a circle.

 Testing

Wilcoxon rank-sum test

Build the null distribution of W one random permutation at a time.

 Testing

Confidence intervals for the AUC

Compare Newcombe's (2006) four interval methods as AUC and sample sizes change.

 Testing

One-way ANOVA

Move the group means and see how between- and within-group variance drive F.

 Regression

Multiple linear regression

Add terms and an interaction to a model of larch growth and see the fitted surface.

 Regression

Outliers and leverage

Drag a point around and watch leverage, Cook's distance and DFBETAS respond.

 Modelling

Growth curves

Compare the Gompertz and logistic growth models side by side.

 Modelling

Monod kinetics

Fit a double Monod model to oxygen uptake data by hand.