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Biometrika 1983 70(2):333-341; doi:10.1093/biomet/70.2.333
© 1983 by Biometrika Trust
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Estimating the common mean direction of several circular or spherical distributions with differing dispersions

NICHOLAS I. FISHER and TOBY LEWIS

CSIRO Division of Mathematics and Statistics Lindfield, N.S.W., Australia
Faculty of Mathematics, The Open University Milton Keynes

This paper considers the problem of forming a pooled estimate of the common mean direction of several circular or spherical populations with possibly differing dispersions, based on samples from each population. Methods for obtaining approximate confidence cones for the mean direction of a single circular or spherical population are developed, then applied to the case of several samples.

Key Words: Circular standard error • Circular variance • Confidence cone • Confidence interval • Spherical standard error • Spherical variance • Weighted mean direction


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