Confidence Ellipse Research Software (EAAF).

This document describes three programs used by MARC in studying and testing confidence ellipses. Genellipse is an ellipse graphing and combination program. It allows the user to specify up to twenty confidence ellipses, combine ellipses, graph ellipses, and test ellipses for combination. It has been used primarily to explore the geometric properties of the combination method, but has also been used to create figures for a number of other reports. Ellsim is a confidence ellipse simulation program. It has been used to explore the robustness and properties of the statistical test which is used to decide whether or no to combine two ellipses. In it, two normal data distributions are specified, corresponding to two emitters. Confidence ellipses are generated, tested, and combined, and various descriptive statistics are compiled. In addition, there is a routine to calculate the power of the statistical test in certain cases. Ellipstuff is an ellipse routine library, which contains a large number of routines to make working with ellipses easier. As such, both Genellipse and Ellsim contain all of these routines, but they are also listed separately. If more programs need to be written, these are the routines to build them with.