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Abstract Details
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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 1, 2011 : 10:30 AM to 12:20 PM
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Sponsor:
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Biopharmaceutical Section
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| Abstract - #301866 |
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Title:
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Shape-Restricted Regressions with Heteroscedastic Variances Subject to Order Constraints and Their Applications in Bioassay
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Author(s):
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Huitian Xue*+
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Companies:
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University of Hong Kong
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Address:
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, Hongkong, , China
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Keywords:
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shape restricted regression ;
rectangle constraints ;
likelihood function ;
restricted DP algorithm
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Abstract:
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Restricted parameter problems arise in many applications, for example, in ordinal regression, sample surveys, bioassay, dose-response, variance components models,and factor analysis models. To investigate the dose-response relationship of certain drug in developing, we often need to conduct a dose-response experiment with multiple groups associated with multiple dose levels of the drug. The dose-response relationship can be modeled by a shape-restricted normal regression. We develop EM-type algorithms to estimate normal means and variances subject to constraints simultaneously. These constraints include the simple order, simple tree order, umbrella order, and so on. Applications to the analyses of two real data on radioimmunological assay of cortisol and bioassay of peptides are presented to illustrate the proposed methods.
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The address information is for the authors that have a + after their name.
Authors who are presenting talks have a * after their name.
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