Some New Tests of Randomness

Abstract

The randomness of a plant distribution can be tested by taking a sample of n random points, measuring the distances from each to the sth and tth nearest plants, (Xs and Xt), and computing (i) the mean of the ratio x2 s/X2 t, (ii) the correlation coefficient between x2 s and X2 t. The distribution of these statistics is studied for random plant distributions, and their performances discussed for situations when the plant distribution is not random. Examples to illustrate the use of these tests are given.