Using Bayesian Inference to calculate uncertainty around ellipses | Comparing the posterior distributions | Overlap Between Ellipses

Creating a Blank Plot

Calculating the Area of Overlap Between Two Ellipses

SIBER introduction and guide | Setting up our R session for this demonstration | Plotting the raw data | Summary statistics and custom graphic additions | Fitting the Bayesian models to the data | Comparing among groups using the Standard Ellipse Area | Comparison of entire communities using the Layman metrics

Errorbar scatterplots | Ellipses instead of errorbars | Trouble shooting

Load up some data to illustrate the vector-based metrics | Introducing the vector-based statistics. | Polar density plots

Creating some test data | Determine whether points are inside or outside ellipse | Large simulation across sample size | 3 and more dimensions