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This is the preliminary program for the 2007 Joint Statistical Meetings in Salt Lake City, Utah.

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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 - #308053
Title: Unmasking Weight Camouflage of a Composite Index Based on Multiple Indicators
Author(s): K. Sham Bhat*+ and Ganapati P. Patil
Companies: The Pennsylvania State University and The Pennsylvania State University
Address: Center for Statistical Ecology, Department of Stat, University Park, PA, 16802,
Keywords: Multicriterion prioritization ; stepwise indicator aggregation ; comparability acquisition profile ; indicator consensus
Abstract:

Considerable work has been done on determining a method to accomplish an ordering of objects with multiple evaluation criteria. A weighted index is used to combine scores of multiple indicators as a criterion for ranking. Our goal is to understand the effect of the indicators and the weighting schemes on the ranking. We use two data analysis methods, POSAC and METEOR, to determine data based weights and to better understand the meaning behind the weights. We then compare data based and investigator based weighting schemes through their comparability acquisition profiles. The concepts of indicator consensus and indicator influence add additional insight. Poset theory and Hassediagrams are a basis for our analysis. These ideas are illustrated with four live data sets, each with their own challenges. Finally, we investigate the concepts of representability and measurement error.


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Revised September, 2007