DESIGNS FOR TESTING LACK OF FIT FOR A NONLINEAR DOSE-RESPONSE CURVE MODEL
作者:
PaulJ. Lupinacci,
Damaraju Raghavarao,
期刊:
Journal of Biopharmaceutical Statistics
(Taylor Available online 2000)
卷期:
Volume 10,
issue 1
页码: 45-53
ISSN:1054-3406
年代: 2000
DOI:10.1081/BIP-100101012
出版商: Taylor & Francis Group
关键词: Nonlinear regression;Logistic function;Dose-response function;D-optimal;Gauss–Newton;Richard's Family of Growth Curves
数据来源: Taylor
摘要:
We would like to estimate the parameters of a dose-response function with the greatest precision as possible. For a two-parameter model, this is equivalent to minimizing the area of the confidence ellipsoid, i.e., aD-optimal design. Previous work on this particular model has included minimal designs. These designs are unable to determine lack of fit. We introduce a distinct dose level to the design to be able to estimate the lack of fit. The minimal and new designs will be compared, and the sample size needed to achieve adequate power for the lack-of-fit test will be derived.
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