Empirical significance test of the goodness-of-fit for some pyramidal clustering procedures

Abstract

Through a series of simulation tests by Monte Carlo methods, some aspects relating to the inference concerning pyramidal trees built by the maximum and minimum methods are considered. In this sense, the quantiles of the γ-Goodman-Kruskal statistic allow us to tabulate a significance test of the goodness-of-fit of a pyramidal clustering procedure. On the other side, the pyramidal method of maximum is observed to be clearly better (more efficient) than that of the minimum in terms of the expected value for the gamma statistic. Both for the maximum and minimum methods, a relation between the number of objets to classify and the gamma distribution id observed.