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Activity Number:
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99
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Type:
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Contributed
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Date/Time:
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Monday, August 4, 2008 : 8:30 AM to 10:20 AM
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Sponsor:
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Section on Statistics and the Environment
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| Abstract - #302006 |
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Title:
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Introducing the S-Value: An Exploratory Tool for Spatial Dependence on a Lattice
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Author(s):
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Petrutza Caragea*+ and Mark Kaiser
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Companies:
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Iowa State University and Iowa State University
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Address:
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Snedecor Hall, Ames, IA, 50014,
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Keywords:
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CAR models ; lattice data ; exploratory tool
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Abstract:
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The application of Markov random fields to problems involving spatial data on lattice systems (as often desirable in the environmental and ecological sciences, agriculture, and other areas of biology) requires decisions regarding a number of important aspects of model structure. Existing exploratory techniques appropriate for spatial data do not provide direct guidance to an investigator about these decisions. We introduce a diagnostic quantity useful in situations for which one is contemplating the application of a Markov random field model based on conditional one parameter exponential family distributions. This exploratory diagnostic is shown to be a meaningful statistic that can inform decisions involved in modeling spatial structure with statistical dependence terms. We illustrate its use in guiding modeling decisions and demonstrate that these properties have use in applications.
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