Samples of directional or axial measurements arise in geophysical, biological and econometric contexts. We represent the rotational difference between two mean directions (or two mean axes) as a direction (or axis). We then construct nonparametric simultaneous confidence sets for all pair-wise rotational differences among the mean directions or mean axes of $s$ samples. By specialization, this methodology yields nonparametric simultaneous tests for pairwise equality of directional means or axes.
@article{1028144845,
author = {Beran, Rudolf and Fisher, Nicholas I.},
title = {Nonparametric comparison of mean directions or mean axes},
journal = {Ann. Statist.},
volume = {26},
number = {3},
year = {1998},
pages = { 472-493},
language = {en},
url = {http://dml.mathdoc.fr/item/1028144845}
}
Beran, Rudolf; Fisher, Nicholas I. Nonparametric comparison of mean directions or mean axes. Ann. Statist., Tome 26 (1998) no. 3, pp. 472-493. http://gdmltest.u-ga.fr/item/1028144845/