Abstract
Two central problems in seismology are the location of earthquake epicentres and the allocation of magnitudes to earthquakes. We show in this communication that these problems can be reduced to the classic statistical model of two-way analysis of variance. Applying this theory to the reduction of pooled data from many stations and earthquakes leads to estimation of source and station terms and the interaction between them. In particular, it provides the theoretical framework for the method of group (or regional) adjustment of epicentres used by Freedman1 and Douglas2. The embedding of the problems in this theory opens the way for strict statistical tests of various hypotheses of geological interest.
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References
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BOLT, B., FREEDMAN, H. Group Analysis of Variance for Earthquake Location and Magnitude. Nature 217, 47–48 (1968). https://doi.org/10.1038/217047a0
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DOI: https://doi.org/10.1038/217047a0
