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Some variants of chi-square for testing uniformity ... - Semantic Scholar
Some Variants of Chi-Square for Testing Uniformity on the Circle. J. S. RAO*. 1. Introduction. One of the basic problems in the analysis of circularly distributed ...
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Some Variants of Chi-Square for Testing Uniformity on the Circle J. S. RAO*
1. Introduction One of the basic problems in the analysis of circularly distributed data is to find whether a given set of observations on the circumference of the unit circle indicate any preferred direction or whether the data can be considered to have come from a uniform distribution on the circumference. We shall assume, throughout this discussion, that the observations are given in terms of angles measured with respect to some suitably chosen origin (or zero direction), taking say, the anticlockwise direction as positive. A "goodness of fit" problem on the circle then is to test whether a random sample (e~, ..., c~,)comes from a population with a completely specified distribution function Fo(e), 0
