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This is the preliminary program for the 2009 Joint Statistical Meetings in Washington, DC.

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Activity Number: 228
Type: Contributed
Date/Time: Monday, August 3, 2009 : 2:00 PM to 3:50 PM
Sponsor: Section on Statistics in Defense and National Security
Abstract - #303911
Title: Opinion Pooling on Maps
Author(s): Jonathan Wilson*+ and Kristin Duncan
Companies: San Diego State University and San Diego State University
Address: , , ,
Keywords: Opinion Pooling ; Geometric Mean
Abstract:

Analysts are often tasked with pooling the opinions of experts. We consider the case where experts' opinions are probability distributions over a discrete sample space, such as grid points of a map. We illustrate the advantageous and problematic features of the commonly used arithmetic and logarithmic aggregation techniques in this situation. A hybrid pooling operator that adds a constant to the computation of the geometric mean and subtracts out this constant at the end is examined and shown to be preferable to arithmetic and logarithmic pooling in some instances. The asymptotic properties of the hybrid operator are derived and recommendations are made for the choice of the constant.


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