Determining dependences between directional quantities and position on a sphere
Abstract
Two astronomically useful statistical tests to detect dependences of a circular quantity on a spherical one are presented: a nonparametric test and one, developed by Jupp and Mardia, which is based on multivariate statistics. A preliminary investigation of some of the statistical properties of the nonparametric test is undertaken. These tests are applied to a set of radio data to show that neither the integrated polarization vector nor the alignment of the source axes show any dependence on the source's position in the sky. This applies to a global sample, as well as to subsets in redshift, rotation measure, resolution of the radio map, etc.
 Publication:

The Astronomical Journal
 Pub Date:
 May 1986
 DOI:
 10.1086/114100
 Bibcode:
 1986AJ.....91.1249B
 Keywords:

 Astrometry;
 Extragalactic Radio Sources;
 Multivariate Statistical Analysis;
 Nonparametric Statistics;
 Polarization Characteristics;
 Statistical Tests;
 Astronomical Coordinates;
 Correlation;
 Direction;
 Interstellar Magnetic Fields;
 Spheres;
 Astronomy