Statistical Analysis of Spherical Data

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Cambridge University Press, Aug 19, 1993 - Mathematics - 329 pages
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This is the first comprehensive, yet clearly presented, account of statistical methods for analysing spherical data. The analysis of data, in the form of directions in space or of positions of points on a spherical surface, is required in many contexts in the earth sciences, astrophysics and other fields, yet the methodology required is disseminated throughout the literature. Statistical Analysis of Spherical Data aims to present a unified and up-to-date account of these methods for practical use. The emphasis is on applications rather than theory, with the statistical methods being illustrated throughout the book by data examples.
  

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Contents

Terminology and spherical coordinate systems
17
Descriptive and ancillary methods and sampling problems
29
Analysis of a single sample of unit vectors
101
Analysis of a single sample of undirected lines
152
Analysis of two or more samples of vectorial or axial data
194
Correlation regression and temporalspatial analysis
230
ii A test for serial association in a time series of unit axes
243
Appendix A Tables and charts
249
Appendix B Data sets
278
References
312
Index
321
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About the author (1993)

N. I. Fisher is the founder of ValueMetrics Australia, an enterprise that carries out research and consulting primarily in the area of performance measurement. Dr Fisher carries out R&D projects around the world, with particular emphasis on improving quantitative reports to boards and top management. His more recent work has focused on measuring research quality and measurement of public policy. He is also a Visiting Professor of Statistics at the University of Sydney.

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