Astronomy and Astrophysics – Astronomy
Scientific paper
Aug 2000
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2000geoji.142..527o&link_type=abstract
Geophysical Journal International, Volume 142, Issue 2, pp. 527-538.
Astronomy and Astrophysics
Astronomy
6
Laboratory Measurement, Magnetic Susceptibility, Statistical Methods
Scientific paper
Statistical applications in magnetic fabrics arise in measurement and in population description. Regarding measurement, Hext's (1963) theory is applied here to data published by Constable & Tauxe (1990), since the data are shown to fit satisfactorily to Hext's assumed model of normally distributed reading errors; Constable & Tauxe advocated a bootstrap analysis. Hext's theory allows the rotatability of the measuring scheme to be assessed (rotatability describes the degree of independence of error variance on the orientation of the fabric axes relative to the measurement reference frame). An alternative, more nearly rotatable, design is suggested, illustrating the importance of this aspect of Hext's work. Population description may be in terms of magnetic fabrics that are unnormalized or normalized (by mean susceptibility). Normalized descriptions are used almost universally, but may not always be appropriate: the distinction is formalized here for a simple case. Jelínek (1978) introduced a multivariate, implicitly normal, population description in which the population behaviour is summarized in terms of the covariance matrix. The directional covariance, a 3-D projection of the 6-D (or 5-D, if normalized) covariance matrix, which has an analogue in the assessment of the rotatability of measurement schemes, is suggested as a possible means for describing and visualizing populations of magnetic fabrics.
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