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Activity Number: 454
Type: Invited
Date/Time: Wednesday, August 1, 2007 : 2:00 PM to 3:50 PM
Sponsor: Environmental and Ecological Statistics
Abstract - #307854
Title: Exploring Partial Order of European Countries
Author(s): Paola Annoni*+ and Rainer Bruggemann
Companies: University of Milan and Leibniz Institute of Freshwater Ecology and Inland Fisheries
Address: via Conservatorio 7, Milan, 20122, Italy
Keywords: Hasse Diagrams ; Dimension Theory in Posets ; Planar Lattices ; Formal Concept Analysis ; Public Services
Abstract:

Partial Order Theory has been recently more and more employed to overcome the intrinsic disadvantage hidden in linear ranking, if a multiple indicator system is available. Despite its numerous positive features, there are cases where partial order interpretation can be troublesome. In these cases the analysis of underlying dimensions can uncover particular data structures. The paper shows a way of addressing the problem with the help of a case study, which deals with European opinions on public services. In particular, an overall ranking of countries is firstly provided and then a method to detect dimensions is discussed and applied. The analysis stems directly from the Partially Order Set and Lattice theory with particular references to dimension theory and Formal Concept Analysis. The study is eventually able to pinpoint role of services and criteria in defining the partial order.


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Revised September, 2007