A Bayesian hierarchical modeling approach for analyzing observational data from marine ecological studies

Marine Pollution Bulletin

Volumn 58, Issue 12, 2009, Pages 1916-1921

  Qian, Song S ^a   Craig, J Kevin ^b   Baustian, Melissa M ^c   Rabalais, Nancy N ^d  

^a DUKE UNIVERSITY   (United States)

^b FLORIDA STATE UNIVERSITY   (United States)

^c LOUISIANA STATE UNIVERSITY   (United States)

^d LOUISIANA UNIVERSITIES MARINE CONSORTIUM   (United States)

Author keywords

ANOVA; Bayesian statistics; Gulf of Mexico; Hierarchical model; Hypoxia

Indexed keywords

BAYESIAN; BAYESIAN STATISTICS; DATA SETS; ECOLOGICAL STUDIES; FIELD DATA; GRAPHICAL PRESENTATIONS; GULF OF MEXICO; HIERARCHICAL APPROACH; HIERARCHICAL MODEL; HIERARCHICAL MODELING; LINEAR MODEL; LINEAR MODELING; LOUISIANA , USA; MACROBENTHIC COMMUNITY; MARINE SYSTEMS; NORTHERN GULF OF MEXICO; OBSERVATIONAL DATA; STATISTICAL INFERENCE;

ANALYSIS OF VARIANCE (ANOVA); BAYESIAN NETWORKS;

HIERARCHICAL SYSTEMS;

OXYGEN; SEA WATER;

ANALYTICAL HIERARCHY PROCESS; BAYESIAN ANALYSIS; GRAPHICAL METHOD; HYPOXIA; LINEARITY; MACROBENTHOS; MARINE ECOSYSTEM; NUMERICAL MODEL; VARIANCE ANALYSIS;

ARTICLE; BAYES THEOREM; CONTROLLED STUDY; DATA ANALYSIS; ENVIRONMENTAL MANAGEMENT; HYPOXIA; MACROBENTHOS; MARINE ENVIRONMENT; MATHEMATICAL ANALYSIS; POPULATION ABUNDANCE; SPECIES COMPOSITION; SPECIES DIVERSITY; STATISTICAL MODEL; UNITED STATES;

ANALYSIS OF VARIANCE; BAYES THEOREM; MARINE BIOLOGY; MODELS, STATISTICAL; OBSERVATION; OCEANS AND SEAS;

ATLANTIC OCEAN; GULF OF MEXICO;

EID: 71549135599     PISSN: 0025326X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.marpolbul.2009.09.029     Document Type: Article

References (31)

1. Anderson D.R., Burnham K.P., and Thompson W.L. Null hypothesis testing: problems, prevalence, and an alternative. Journal of Wildlife Management 64 (2000) 912-923
2. Barry J.P., and Dayton P.K. Physical heterogeneity and the organization of marine communities. In: Kolasa J., and Pickett S.T.A. (Eds). Ecological Heterogeneity (1991), Springer-Verlag, New York 270-320
3. Baustian, M.M., Craig, J.K., Rabalais, N.N., in press. Effects of summer hypoxia on macrobenthos and Atlantic croaker foraging selectivity in the northern Gulf of Mexico. Journal of Experimental Marine Biology and Ecology.
4. Baustian M.M., and Rabalais N.N. Seasonal composition of benthic macroinfauna exposed to hypoxia in the northern Gulf of Mexico. Estuaries and Coasts 32 (2009) 975-983
5. Berger J.O. Statistical Decision Theory and Bayesian Analysis. second ed. (1985), Springer-Verlag, New York
6. Diaz R.J., and Rosenberg R. Marine benthic hypoxia: a review of its ecological effects and the behavioural responses of benthic macrofauna. Annual Review of Oceanography and Marine Biology 33 (1995) 245-303
7. Fisher R.A. Statistical Methods for Research Workers. first ed. (1925), Oliver and Boyd, Edinburgh 14th edition reprinted in 1970
8. Gelman A. Analysis of variance - why it is more important than ever (with discussions). The Annals of Statistics 33 1 (2005) 1-53
9. Gelman A., and Hill J. Data Analysis Using Regression and Multilevel/Hierarchical Models (2007), Cambridge University Press, New York
10. Gelman A., and Tuerlinckx F. Type S error rates for classical and Bayesian single and multiple comparison procedures. Computational Statistics 15 (2000) 373-390
11. In: Gilks W.R., Richardson S., and Spiegelhalter D.J. (Eds). Markov Chain Monte Carlo in Practice (1996), Chapman and Hall, New York
12. Gotelli N.J., and Ellison A.M. A Primer of Ecological Statistics (2004), Sinauer Associates Inc. Publishers, Sunderland, MA, USA
13. Johnson D.H. The insignificance of statistical significance testing. Journal of Wildlife Management 63 3 (1999) 763-772
14. Judge G.G., Griffiths W.E., Hill R.C., Lutkepohl H., and Lee T. The Theory and Practice of Econometrics. second ed. (1985), Wiley, New York
15. Krantz D.H. The null hypothesis testing controversy in psychology. Journal of the American Statistical Association 94 (1999) 1372-1381
16. Leonard T., and Hsu J.S.J. Bayesian Methods (2001), Cambridge University Press, Cambridge
17. Lindley D.V. Discussion on Professor Stein's paper. Journal of the Royal Statistical Society, Series B 24 (1962) 285-287
18. Lindley D.V., and Smith A.F.M. Bayes estimates for the linear model. Journal of the Royal Statistical Society, Series B 34 (1972) 1-41
19. Mittelhammer R.C., Judge G.G., and Miller D.J. Econometric Foundations (2000), Cambridge University Press, Cambridge
20. Morrisey D.J., Howitt L., and Underwood A.J. Spatial variation in soft-sediment benthos. Marine Ecology Progress Series 81 (1992) 197-204
21. Qian, S.S., 2009. Environmental and Ecological Statistics with R. Chapman and Hall/CRC Press, Boca Raton, Florida.
22. Qian S.S., and Shen Z. Ecological applications of multilevel analysis of variance. Ecology 88 10 (2007) 2489-2495
23. Qian S.S., Stow C.A., and Borsuk M. On Monte Carlo methods for Bayesian inference. Ecological Modelling 159 (2003) 269-277
24. Rabalais N.N., Smith L.E., Harper D.E., and Justic D. Effects of seasonal hypoxia on continental shelf benthos. In: Rabalais N.N., and Turner R.E. (Eds). Coastal Hypoxia: Consequences for Living Resources and Ecosystems. Coastal and Estuarine Studies vol. 58 (2001), American Geophysical Union, Washington, DC 211-240
25. Sclove S.L. Improved estimators for coefficients in linear regression. Journal of American Statistical Association 63 (1968) 596-606
26. Sclove S.L. Improved estimation of parameters in multivariate regression. Sankhya, Series A 33 (1971) 61-66
27. Spiegelhalter D.J., Best N.G., Carlin B.P., and Van der Linde A. Bayesian measures of model complexity and fit (with discussion). Journal of the Royal Statistical Society, Series B 64 4 (2002) 583-616
28. Stein C. Inadmissibility of the usual estimator for the mean of a multivariate normal distribution. Proceedings of the Third Berkeley Symposium on Mathematical Statistics and Probability vol. 1 (1956), University of California Press, Berkeley, CA 197-206
29. Stein C. Multiple regression. In: Olkin I. (Ed). Contributions to Probability and Statistics in Honor of Harold Hotelling (1960), Stanford University Press, Stanford
30. Stein C. Confidence sets for the mean of a multivariate normal distribution. Journal of the Royal Statatistical Society, Series B 24 (1962) 265-296
31. Zellner A., and Vandaele W.A. Bayes-Stein estimators for k-means, regression and simultaneous equation models. In: Fienberg S.E., and Zellner A. (Eds). Studies in Bayesian Econometrics and Statistics in Honor of Leonard J. Savage (1974), North-Holland, Amsterdam 627-653