Testing Unit Vectors for Correlation,

Abstract

Statistical tests with unit vectors have been very useful in paleomagnetism. Beran and Watson (1967) gave a test for serial correlation of unit vectors. In this paper, formulae are given to make this test computationally easy to apply. A test statistic based on the sum of the cosines of the angles between each pair of vectors is provided to test pairwise correlation of unit vectors. Computable formulae are given for the mean and variance in the randomization distribution of the test statistic. A Monte Carlo experiment is quoted to support a normal approximation for its distribution. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1970
Accession Number
AD0729148

Entities

People

  • G. S. Watson
  • J. W. Tukey
  • R. J. Epp

Organizations

  • Princeton University

Tags

DTIC Thesaurus Topics

  • Computing-Related Activities
  • Data Science
  • Information Science
  • Interdisciplinary Science
  • Mathematical Analysis
  • Mathematics
  • Statistical Tests

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Statistical inference.