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.
Keywords: Hasse diagram technique (HDT), ranking method, environmental chemicals
Combinatorial Chemistry & High Throughput Screening
Title: Basic Principles of Hasse Diagram Technique in Chemistry
Volume: 11 Issue: 9
Author(s): Rainer Bruggemann and Kristina Voigt
Affiliation:
Keywords: Hasse diagram technique (HDT), ranking method, environmental chemicals
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.
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Cite this article as:
Bruggemann Rainer and Voigt Kristina, Basic Principles of Hasse Diagram Technique in Chemistry, Combinatorial Chemistry & High Throughput Screening 2008; 11 (9) . https://dx.doi.org/10.2174/138620708786306005
DOI https://dx.doi.org/10.2174/138620708786306005 |
Print ISSN 1386-2073 |
Publisher Name Bentham Science Publisher |
Online ISSN 1875-5402 |
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