000 04414nam a22004575i 4500
001 978-1-4419-8477-7
003 DE-He213
005 20140220083728.0
007 cr nn 008mamaa
008 110705s2011 xxu| s |||| 0|eng d
020 _a9781441984777
_9978-1-4419-8477-7
024 7 _a10.1007/978-1-4419-8477-7
_2doi
050 4 _aQA276-280
072 7 _aPBT
_2bicssc
072 7 _aPD
_2bicssc
072 7 _aMAT029000
_2bisacsh
082 0 4 _a519.5
_223
100 1 _aBrüggemann, Rainer.
_eauthor.
245 1 0 _aRanking and Prioritization for Multi-indicator Systems
_h[electronic resource] :
_bIntroduction to Partial Order Applications /
_cby Rainer Brüggemann, Ganapati P. Patil.
264 1 _aNew York, NY :
_bSpringer New York,
_c2011.
300 _aXXVI, 338 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aEnvironmental and Ecological Statistics ;
_v5
505 0 _aPreface -- Why Prioritization, Why Ranking -- Partial Order and Hasse Diagrams -- Simple Combinatorial Structures -- Sensitivity and Ambiguity -- Structures of Partial Orders -- Hasse Diagrams Based on Transformed Data Matrices -- Reducing the Number of Incomparabilities -- Formal Concept Analysis -- Methods to Obtain Linear or Weak Orders by Means of Partial Order -- Comparison of Partial, Linear and Weak Orders -- Illustrative Case Studies -- Case Studies: Child Development (Sociology) -- Case Study: Stream Channel Stability Infrastructure at Bridge Crossings (Engineering Sciences) -- Case Study: Watersheds Analysis (Hydrology) -- Case Study: Environmental Performance Index (EPI) (Human and Environmental Health) -- Partial Order and Related Disciplines -- Partial Order and Software -- Ranking and Prioritization with Partial Order for Multi-Indicator Systems - An Integrative View with a Look Forward -- Appendix -- Index.
520 _aRanking issues are found everywhere. For example, bank houses, universities, towns, watersheds etc. are ranked. But also assessment of students in one discipline is a ranking. This last example is trivial, because we have only one criterion, namely the quality of the student in that discipline. In the other cases ranking can be a very hard job. Why? There is often no measure. How do we measure towns with respect to living quality? How do we measure the hazard exerted by chemicals? No chemical has its intrinsic identity card where its hazard can be identified. Thus multi-indicator systems come into play. We gather indicators which help to characterize the items of interest for ranking. Measurement of indicators, selecting indicators, testing indicators. And we arrive at a multi-indicator system. We have gathered useful information for ranking. However, we do not know how to derive ranking from the multitude of valuable information. In a popular approach, the indicator values are weight-averaged. The resulting weighted averages are used to obtain the ranking. We offer the mathematical tool of partial order as a tool to get insight into the process, starting with the multi-indicator system and finishing up with ranking. Application of partial order involving multi-indicator systems is in its initial phases and is advancing with more and more tools. This book provides a timely introduction to the partial order theory and its techniques with worked out illustrations and applications to a variety of live case studies. It is written for interested social and technical scientists, statisticians, , computer scientists, and graph theorists, stakeholders, instructors, and students at graduate and senior undergraduate levels. We have enjoyed writing it. You will hopefully enjoy reading it and using it.
650 0 _aStatistics.
650 1 4 _aStatistics.
650 2 4 _aStatistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences.
650 2 4 _aStatistics for Life Sciences, Medicine, Health Sciences.
700 1 _aPatil, Ganapati P.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9781441984760
830 0 _aEnvironmental and Ecological Statistics ;
_v5
856 4 0 _uhttp://dx.doi.org/10.1007/978-1-4419-8477-7
912 _aZDB-2-EES
999 _c106003
_d106003