The TV percent principle for the counterexamples statistic

Abstract

Our aim is to put into practice the principle of test value percent criterion to the counterexamples statistic, which is the basis of the well-known statistical implicative analysis approach. We show how to compute the test value in this context; what is the connection with the intensity of implication measure, on the one hand; and the index of implication, on the other hand. We evaluate the behavior of these measures on a large dataset comprising several hundred of thousands of transactions. We evaluate especially the discriminating capacity of the measures, in relation to specialized measure such as the entropic intensity of implication. © 2008 Springer-Verlag Berlin Heidelberg.