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Watson & Enkin 1993
Watson, G.S. and Enkin, R.J. (1993). The fold test in paleomagnetism as a parameter estimation problem. Geophysical Research Letters 20: doi: 10.1029/GL020i019p02135. issn: 0094-8276.
Most proposed fold test formulations use significance tests to try pre-tilting and post-tilting remanence hypotheses. We suggest that it is better to consider the fold test as a parameter estimation problem. Making the usual assumption that the distribution of remanence vectors was originally roughly parallel, we propose, using a monte carlo simulation technique, to estimate the amount of tectonic tilting at the time of magnetization along with a 95% confidence interval. If, for example, this confidence interval included 100% then one could not rule out pre-tilting remanence. In the older terminology, the fold test is positive. The k-ratio test of McElhinny [1964> is often said to be conservative in that if a study passes the k-ratio test then it certainly passes a more rigorous test. We show with a typical counter-example that this assertion is incorrect. Observational uncertainty of bedding directions is easily included in this formulation. ¿ American Geophysical Union 1993 Most proposed fold test formulations use significance tests to try pre-tilting and post-tilting remanence hypotheses. We suggest that it is better to consider the fold test as a parameter estimation problem. Making the usual assumption that the distribution of remanence vectors was originally roughly parallel, we propose, using a monte carlo simulation technique, to estimate the amount of tectonic tilting at the time of magnetization along with a 95% confidence interval. If, for example, this confidence interval included 100% then one could not rule out pre-tilting remanence. In the older terminology, the fold test is positive. The k-ratio test of McElhinny [1964> is often said to be conservative in that if a study passes the k-ratio test then it certainly passes a more rigorous test. We show with a typical counter-example that this assertion is incorrect. Observational uncertainty of bedding directions is easily included in this formulation. ¿ American Geophysical Union 1993
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