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Testing a sequence of unit vectors for serial correlation

1967; American Geophysical Union; Volume: 72; Issue: 22 Linguagem: Inglês

10.1029/jz072i022p05655

2156-2202

G. S. Watson, Rudolf Beran,

Geophysical and Geoelectrical Methods

Journal of Geophysical Research (1896-1977)Volume 72, Issue 22 p. 5655-5659 Testing a sequence of unit vectors for serial correlation G. S. Watson, G. S. WatsonSearch for more papers by this authorR. J. Beran, R. J. BeranSearch for more papers by this author G. S. Watson, G. S. WatsonSearch for more papers by this authorR. J. Beran, R. J. BeranSearch for more papers by this author First published: 15 November 1967 https://doi.org/10.1029/JZ072i022p05655Citations: 55AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onEmailFacebookTwitterLinkedInRedditWechat Abstract In the paleomagnetic study of superimposed strata, the NRM directions from adjacent horizons may appear to be more alike than those from different depths. A statistical test is, therefore, required for short-range or serial correlation of directions. The statistic proposed in this paper is the sum of the cosines of the angles between directions at adjacent points in the sequence. The observed value of the statistic is compared with its randomization distribution, so that the test makes no distributional assumptions and should be widely applicable. References Doell, R. R., A. Cox, Paleomagnetism of Hawaiian lava flows, J. Geophys. Res., 7014, 3377–3405, 1965. Fisher, R., Dispersion on a sphere, Proc. Roy. Soc. London, A, 217, 295–305, 1953. Harrison, C. G. A., The paleomagnetism of deep sea sediments, J. Geophys. Res., 7112, 3033–3043, 1966. Hart, B. I., Significance levels for the ratio of the mean square successive difference to the variance, Ann. Math. Statist., 134, 445–446, 1942. Khan, M. A., The remanent magnetization of the basic Tertiary igneous rocks of skye, inverness-shire, Geophys. J., 3, 46–62, 1960. vonNeumann, J., Distribution of the ratio of the mean square successive difference to the variance, Ann. Math. Statist., 74, 367–395, 1941. Watson, G. S., The statistics of orientation data, 2, J. Geo., 745, 786–797, 1966. Watson, G. S., J. Durbin, Testing for serial correlation in least squares regression, 1, Biometrika, 37, 409–428, 1950. Watson, G. S., J. Durbin, Testing for serial correlation in least squares regression, 2, Biometrika, 38, 159–178, 1951. Watson, G. S., E. Irving, Statistical methods in rock magnetism, Monthly Notices Roy. Astron. Soc., Geophys. Supl., 76, 289–300, 1957. Citing Literature Volume72, Issue2215 November 1967Pages 5655-5659 ReferencesRelatedInformation