Abstract
It is often useful to measure and analyze the orientations of various geological features-fabric elements, structural features, etc. Such measurements are more easily interpreted if they are summarized by statistics representing: (1) a preferred orientation direction, (2) the degree of preferred orientation, and (3) the probability that the preferred orientation is real and not merely due to chance. Application of conventional linear statistical methods, such as are used for grain-size analyses, presents some difficult problems, because orientation data are in the form of circular frequency distributions. A method of analysis which avoids these difficulties is discussed in this paper. A logical approach to the problem is to treat the distribution directly in its circular form rather than to divide it into a linear frequency distribution. This avoids the difficulty that the mean and standard deviation of such a distribution varies with the choice of origin or dividing point. A resultant vector is obtained ...
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