A Circular Pattern Recognition and the Probability Tables : Multiple Circular Runs Test

A nonparametric method of pattern recognition is proposed for directional observations, or for observations on a cyclic time series. Such observations, like birds migration, pollens\u27 movement, bio-rhythm of living et al, can be rearranged directionally from an origin on a circumference of a unit circle. Then the authors suggest a possibility to apply a multiple circular rans test whether several sets of observations on a circle are drawn from the same distribution as a methodology of pattern recognition. Thus the present paper gives firstly the well-explained mathematical formulation of the generalized problem on the basis of combinatorial theory, secondly the numerical tables of critical numbers of runs with upper and lower significance levels and finally a compact FORTRAN program of proto-type for further cases of practical application of the present rnethod proposed