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Bayesian Estimation

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Bayesian Analysis Of Dose-Response Calibration Curves, William J. Price, Bahman Shafii Apr 2005

Bayesian Analysis Of Dose-Response Calibration Curves, William J. Price, Bahman Shafii

Conference on Applied Statistics in Agriculture

The statistical analysis of dose-response experiments typically models observed responses as a function of an applied dosage series. The estimated "dose-response curve" is used in predicting future responses, however, it is also commonly rewritten in an inverted form where dose is expressed as a function of the response. This modified "calibration curve" is useful in cases where observed responses are available, but their associated dosages are unknown. Traditional statistical techniques for the estimation of unknown doses from the dose-response curve are problematic, involving approximate solutions and methods. Alternatively, this type of inverse calibration problem naturally falls into the framework of …


Comparing Estimation Procedures For Dose-Response Functions, William J. Price, Bahman Shafii, Ken B. Newman, Shane Early, Joseph P. Mccaffrey, Matthew, J. Morra Apr 2003

Comparing Estimation Procedures For Dose-Response Functions, William J. Price, Bahman Shafii, Ken B. Newman, Shane Early, Joseph P. Mccaffrey, Matthew, J. Morra

Conference on Applied Statistics in Agriculture

The dose-response design is often used in agricultural research when it is necessary to measure a biological response at various levels of an experimental factor. This type of problem is common in chemical and pesticide research, however, it can also occur in other disciplines such as plant, animal, soil, and environmental sciences. While the analysis of dose-response data usually involves fitting a regression curve, the primary objective often centers on the estimation of dose related percentiles such as the LD50 or LC50. These measures are useful for comparing the relative efficacy of various treatments, however, the estimation of the specified …