Graphical methods for investigating the fit of a Fisher distribution to spherical data

Ordered-value plotting (probability plotting, Q-Q plotting, etc.) is well known for its utility as a diagnostic technique with data samples on the line. It can be used to give a visual indication of goodness of fit (sometimes as a prerequisite to a more formal statistical analysis), to provide quick graphical estimates of parameters, and to disclose the presence of outliers and give a visual assessment of their import. Following a résumé of plotting procedures for distributions on the line such as normal and exponential, three procedures are given for use with spherical data assumed to follow a Fisher distribution. These are illustrated by application to two palaeomagnetic data samples.