Abstract

Circular distributions are often statistically analyzed using a null hypothesis of a uniform distribution and an alternate hypothesis of a unimodal distribution (e .g., the Rayleigh test described by Batschelet, 1972). However, bimodal or multimodal distributions are frequently encountered in behavioral studies (e.g., studies of orientation to polarized light or wave surge, activity rhythm studies), and unimodal tests will often fail to reject the null hypothesis of a uniform distribution even though distinct modes are apparent. Rao proposed a test which is powerful for both unimodal and multimodal alternatives. Examples of this test's application are given by Batschelet (1972) and Rao and Sengupta (1972). Although theoretically simple, Rae's test can be computationally tedious for even medium-sized data sets. Computer Method. All computations are completed and all output is generated by a single subroutine. Containment of all procedures for this test in a subroutine permits its use with other appropriate subroutines in a calling program for rapid and complete analysis of a data set. The computations for Rao's test are described in Rao and Sengupta (1972).

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