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A Bayesian hierarchical modeling approach for analyzing observational data from marine ecological studies
Qian, S.S.; Craig, J.K.; Baustian, M.M.; Rabalais, N.N. (2009). A Bayesian hierarchical modeling approach for analyzing observational data from marine ecological studies. Mar. Pollut. Bull. 58(12): 1916-1921. https://dx.doi.org/10.1016/j.marpolbul.2009.09.029
In: Marine Pollution Bulletin. Macmillan: London. ISSN 0025-326X; e-ISSN 1879-3363, more
Peer reviewed article  

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Keywords
    Diseases > Human diseases > Hypoxia
    Model studies
    ASW, Mexico Gulf [Marine Regions]
    Marine/Coastal
Author keywords
    ANOVA; Bayesian statistics; Gulf of Mexico; Hierarchical model; Hypoxia

Authors  Top 
  • Qian, S.S.
  • Craig, J.K.
  • Baustian, M.M.
  • Rabalais, N.N.

Abstract
    We introduce the Bayesian hierarchical modeling approach for analyzing observational data from marine ecological studies using a data set intended for inference on the effects of bottom-water hypoxia on macrobenthic communities in the northern Gulf of Mexico off the coast of Louisiana, USA. We illustrate (1) the process of developing a model, (2) the use of the hierarchical model results for statistical inference through innovative graphical presentation, and (3) a comparison to the conventional linear modeling approach (ANOVA). Our results indicate that the Bayesian hierarchical approach is better able to detect a “treatment” effect than classical ANOVA while avoiding several arbitrary assumptions necessary for linear models, and is also more easily interpreted when presented graphically. These results suggest that the hierarchical modeling approach is a better alternative than conventional linear models and should be considered for the analysis of observational field data from marine systems.

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