Abstract
Statistical tests with unit vectors have been very useful in paleomagnetism. R. J. Beran and G. S. Watson devised a test for serial correlation of unit vectors. This paper gives formulas that 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 formulas are given for the mean and variance in the randomization distribution of the test statistic. A Monte Carlo experiment is quoted in support of a normal approximation for its distribution.
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