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Environmental and Ecological Statistics

Ranking and Prioritization for Multi-indicator Systems

Introduction to Partial Order Applications

Authors: Brüggemann, Rainer, Patil, Ganapati P.

  • Discusses main topics of ranking applying partial order theory
  • Is about how far simple order methods can be useful for the ordinal analysis of data matrices
  • The reader will learn how to apply unclear methods in partial order analysis
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eBook $139.00
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  • ISBN 978-1-4419-8477-7
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Hardcover $179.00
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  • ISBN 978-1-4419-8476-0
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  • Usually dispatched within 3 to 5 business days.
Softcover $179.00
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  • ISBN 978-1-4614-2968-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

Ranking 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.

Reviews

From the reviews:

“The main aim of the book is to introduce the modern tools and methodologies of the so-called partial order ranking for prioritization of objects by many different characteristics. … is addressed to graduate students and specialists in environmental, ecological, and other applied sciences requiring ordering and prioritization of many objects by numerous characteristics. … these new methods of partial order analysis can be insightful and useful, and extend the regular tool-kit of statisticians applying more conventional methods of PCA, factor analysis, data clustering, and segmentation.” (Stan Lipovetsky, Technometrics, Vol. 54 (2), May, 2012)

Table of contents (18 chapters)

  • Why Prioritization, Why Ranking

    Brüggemann, Rainer (et al.)

    Pages 1-11

  • Partial Order and Hasse Diagrams

    Brüggemann, Rainer (et al.)

    Pages 13-23

  • Simple Combinatorial Structures

    Brüggemann, Rainer (et al.)

    Pages 25-42

  • Sensitivity and Ambiguity

    Brüggemann, Rainer (et al.)

    Pages 43-55

  • Structures of Partial Orders

    Brüggemann, Rainer (et al.)

    Pages 57-74

Buy this book

eBook $139.00
price for USA (gross)
  • ISBN 978-1-4419-8477-7
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $179.00
price for USA
  • ISBN 978-1-4419-8476-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $179.00
price for USA
  • ISBN 978-1-4614-2968-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Ranking and Prioritization for Multi-indicator Systems
Book Subtitle
Introduction to Partial Order Applications
Authors
Series Title
Environmental and Ecological Statistics
Series Volume
5
Copyright
2011
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media, LLC
eBook ISBN
978-1-4419-8477-7
DOI
10.1007/978-1-4419-8477-7
Hardcover ISBN
978-1-4419-8476-0
Softcover ISBN
978-1-4614-2968-5
Series ISSN
2363-9660
Edition Number
1
Number of Pages
XXVI, 338
Topics