Standard Article

Hierarchical Bayes Methods


  1. Malay Ghosh

Published Online: 15 SEP 2006

DOI: 10.1002/9780470057339.vah009

Encyclopedia of Environmetrics

Encyclopedia of Environmetrics

How to Cite

Ghosh, M. 2006. Hierarchical Bayes Methods. Encyclopedia of Environmetrics. 3.

Author Information

  1. University of Florida, Gainesville, FL, USA

Publication History

  1. Published Online: 15 SEP 2006


Dose–response studies of environmental toxins are designed to determine the detrimental effects associated with exposure to the toxin, over a particular range of exposures. To properly quantify the toxic effect of a toxin, the background risk of no exposure to the toxin, R(0), must first be specified. The additional risk incurred by exposure to a dose, d, of the toxin is then called the added risk (AR) at this dose and is given by AR(d) = R(d) –R(0).