The statistical analysis of orthogonal orientation data

Lisle, Richard John 1989. The statistical analysis of orthogonal orientation data. The Journal of Geology 97 (3) , pp. 360-364.

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Abstract

For three-dimensional directional data consisting of a sample of axes ($X_{i}$) together with a corresponding sample of perpendicular axes ($Z_{i}$), a least-squares procedure is proposed for finding the mean X axis and the mean Z axis. The criterion of best-fit used takes into account the implicit interdependence of the X and Z orientations and therefore yields mean X and Z directions which are themselves orthogonal. The method is applicable to many varieties of geological data which are of orthogonal type, e.g., "paired" field measurements of fold axes and normals to bedding planes.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Earth and Environmental Sciences
Subjects:	Q Science > QE Geology
Publisher:	University of Chicago Press
ISSN:	0022-1376
Last Modified:	04 Jun 2017 02:10
URI:	https://orca.cardiff.ac.uk/id/eprint/10469

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