Computer program to analyze directional data, based on the methods of Fisher and Watson

Based on the methods of Fisher and Watson,Fortran ivcomputer programs are presented for the following analyses of directional observations on the sphere: (1) to determine if points are randomly distributed; (2) to estimate the azimuth and inclination of the center (mean direction) of a cluster and to estimate the precision (closeness) with which points are clustered; (3) to determine if two or more clusters have the same mean direction; (4) to determine if two clusters have the same precision of clustering; and (5) to locate the pole of a greatcircle girdle of points. Limitations of these analyses for undirected directional observations on the hemisphere also are given.

[1]  G. S. Watson,et al.  ON THE CONSTRUCTION OF SIGNIFICANCE TESTS ON THE CIRCLE AND THE SPHERE , 1956 .

[2]  G. S. Watson,et al.  The Statistics of Orientation Data , 1966, The Journal of Geology.

[3]  W. C. Krumbein.  Preferred Orientation of Pebbles in Sedimentary Deposits , 1939, The Journal of Geology.

[4]  T. V. Loudon.  Computer analysis of orientation data in structural geology , 1964 .

[5]  J. Bruckshaw,et al.  Note on the probability distribution of a small number of vectors , 1960, Mathematical Proceedings of the Cambridge Philosophical Society.

[6]  K. Creer.  V. The remanent magnetization of unstable Keuper Marls , 1957, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.

[7]  J. Griffiths,et al.  Fortran IV program for fitting observed count data to discrete distribution models of binomial, poisson and negative binomial , 1969 .

[8]  G. S. Watson,et al.  Equatorial distributions on a sphere , 1965 .

[9]  F. C. Phillips,et al.  The Use of Stereographic Projection in Structural Geology , 1960 .

[10]  B. Selby.  Girdle distributions on a sphere , 1964 .

[11]  E. S. Hills.  Elements of Structural Geology , 2024 .

[12]  G. S. Watson,et al.  STATISTICAL METHODS IN ROCK MAGNETISM , 1957 .

[13]  G. S. Watson,et al.  A Test for Randomness of Directions , 1956 .

[14]  R. Fisher.  Dispersion on a sphere , 1953, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[15]  G. S. Watson,et al.  Statistical methods for the analysis of problems in animal orientation and certain biological rhythms , 1966 .

[16]  Michael A. Stephens.  Exact and approximate tests for directions. I , 1962 .

[17]  Michael A. Stephens,et al.  The Testing of Unit Vectors for Randomness , 1964 .

[18]  G. S. Watson,et al.  ANALYSIS OF DISPERSION ON A SPHERE , 1956 .

[19]  J. R. Mashey,et al.  Computer program for the stereographic analysis of coal fractures and cleats , 1970 .

[20]  David Durand,et al.  The Distribution of Length and Components of the Sum of $n$ Random Unit Vectors , 1955 .

[21]  Frank Coles Phillips.  The use of stereographic projection in structural geology , 1955 .

[22]  Rudolf Beran,et al.  Testing for uniformity on a compact homogeneous space , 1968, Journal of Applied Probability.

[23]  G. S. Watson,et al.  More significance tests on the sphere , 1960 .