This is the program for the 2010 Joint Statistical Meetings in Vancouver, British Columbia.
Abstract Details
Activity Number:
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177
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Type:
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Contributed
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Date/Time:
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Monday, August 2, 2010 : 10:30 AM to 12:20 PM
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Sponsor:
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IMS
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Abstract - #306772 |
Title:
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Preliminary Test Estimation Procedures in Nonlinear Regression Models with Toxicological Application
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Author(s):
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Changwon Lim*+ and Pranab Kumar Sen and Shyamal D. Peddada
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Companies:
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National Institute of Environmental Health Sciences and The University of North Carolina at Chapel Hill and National Institute of Environmental Health Sciences
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Address:
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111 T. W. Alexander Dr, RTP, NC, 27709,
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Keywords:
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Asymptotic normality ;
Dose-response study ;
Heteroscedasticity ;
Hill model ;
M-estimation procedure ;
Nonlinear regression model
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Abstract:
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Often toxicologists are interested in investigating the dose-response relationship when animals are exposed to varying doses of a chemical. Usually a nonlinear regression model such as a Hill model is used to describe the relationship. Depending upon various factors, including the bioassay, the data may be homoscedastic or heteroscedastic, which, in practice, is not generally known a priori. Since the performance of the method of analysis relies on the structure of the error variance of the data, in this article a simple preliminary test estimation (PTE) is introduced to select an appropriate methodology. Since outliers and influential observations are common in toxicological data, the proposed methodology uses M-estimators. The asymptotic properties of PTE are investigated and the proposed methodology is illustrated using a toxicology data.
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