title: Basic principles of Hasse diagram technique in chemistry.
abstract: Principles of partial order applied to ranking are explained. The Hasse diagram technique (HDT) is the application of partial order theory based on a data matrix. In this paper, HDT is introduced in a stepwise procedure, and some elementary theorems are exemplified. The focus is to show how the multivariate character of a data matrix is realized by HDT and in which cases one should apply other mathematical or statistical methods. Many simple examples illustrate the basic theoretical ideas. Finally, it is shown that HDT is a useful alternative for the evaluation of antifouling agents, which was originally performed by amoeba diagrams.
authors.affiliation: Leibniz-Institute of Freshwater Ecology and Inland Fisheries, Berlin, Germany. brg_home@web.de
authors.forename: Rainer
authors.initials: R
authors.lastname: Brüggemann
authors.forename: Kristina
authors.initials: K
authors.lastname: Voigt
mesh_terms: D002621:Chemistry / Q000379:methods*; D020650:Combinatorial Chemistry Techniques; D008956:Models, Chemical