Journal ArticleDOI
Optimum designs for estimating EDp based on raw optical density data
TLDR
For raw optical density (ROD) data, such as those generated in biological assays employing an ELISA plate reader, ED p -optimal designs are identified for a family of homogeneous non-linear models with two parameters as discussed by the authors.About:
This article is published in Journal of Statistical Planning and Inference.The article was published on 2002-05-01. It has received 9 citations till now. The article focuses on the topics: Optimal design.read more
Citations
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Journal ArticleDOI
Support points of locally optimal designs for nonlinear models with two parameters
Min Yang,John Stufken +1 more
TL;DR: A new approach for identifying the support points of a locally optimal design when the model is a nonlinear model based on algebraic tools is proposed, which works both with constrained and unconstrained design regions and is relatively easy to implement.
Book ChapterDOI
Latin Hypercubes and Space-Filling Designs
C. Devon Lin,Boxin Tang +1 more
TL;DR: SpaceFilling as mentioned in this paper is a general design approach to planning computer experiments, which aims to find design points that fill a bounded design region as uniformly as possible, and is referred to as space-filling design.
Journal ArticleDOI
Locally D-optimal designs based on a class of composed models resulted from blending Emax and one-compartment models
X. Fang,A. S. Hedayat +1 more
TL;DR: A class of nonlinear models combining a pharmacokinetic compartmental model and a pharmacodynamic Emax model is introduced and it is found that an LD design with k parameters is equivalent to an LDDesign with k i1 parameters if the linear parameter in the two composed models is a nuisance parameter.
Journal ArticleDOI
Locally d-optimal designs based on a class of composed models resulted from blending emax and one-compartment models ⁄
X. Fang,A. S. Hedayat +1 more
TL;DR: In this paper, a class of nonlinear models combining a pharmacokinetic compartmental model and a pharmacodynamic Emax model is introduced, and the locally D-optimal (LD) design for a 4-parameter composed model is found to be a saturated 4-point uniform LD design with the two boundary points of the design space in the LD design support.
Journal Article
Efficient geometric and uniform design strategies for sigmoidal regression models : theory and methods
TL;DR: Extensions of the basic strategy include a Bayesian maxi-min design approach to cover a range of values of the initial parameter estimates, as well as geometric/uniform design analogues when uncertainty exists as to the correct scale or to take account of curvature.
References
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Journal ArticleDOI
Optimum Allocation in Linear Regression Theory
TL;DR: For the estimation of a single quantity of form, the optimum allocation comprises two or three sources as discussed by the authors, and the corresponding number is 2 or 3 for estimation of both parameters, the best proportions are indicated in Sections 2 and 4 below.
Book
Sequential Analysis and Optimal Design
TL;DR: Preliminaries on probability Generalities about the conventional theory of design of experiments Optimal sample size Preliminary on regression Design for linear regression: Elfving's method Maximum-likelihood estimation Locally optimal designs for estimation More design in regression experiments Testing hypotheses Optimal samples size in testing Sequential probability-ratio test Optimality of sequential probability-Ratio test Motivation for an approach to sequential design of experiment in testing hypotheses.
Related Papers (5)
Modeling and Identifying Optimum Designs for Fitting Dose-Response Curves Based on Raw Optical Density Data
Optimal two-point designs for the michaelis-menten model with heteroscedastic errors
Dale Song,Weng Kee Wong +1 more
Robust designs for generalized linear mixed models with possible model misspecification
Xiaojian Xu,Sanjoy K. Sinha +1 more