Journal ArticleDOI
On D-optimal designs for linear models under correlated observations with an application to a linear model with multiple response
TLDR
In this paper, conditions under which an exact D-optimal design for uncorrelated observations with common variance is also D -optimal for correlated observations were established for regression models with multiple response.Citations
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Response Surface Methodology.
TL;DR: A survey of the various stages in the development of response surface methodology RSM is given in this article, which includes a review of basic experimental designs for fitting linear response surface models, in addition to a description of methods for the determination of optimum operating conditions.
Journal ArticleDOI
Response surface methodology
TL;DR: A survey of the various stages in the development of response surface methodology RSM is provided, organized in three parts that describe the evolution of RSM since its introduction in the early 1950s.
Book ChapterDOI
12 Multiresponse surface methodology
TL;DR: This chapter discusses the basic methods used in response surface methodology (RSM) for the design and analysis of multiresponse experiments and some of the issues discussed in the chapter include (1) plotting of multireponse data, (2) estimation of parameters of a multiresPonse model, and (3) inference for multires ponse models.
Journal ArticleDOI
An overview of design of experiments
TL;DR: An overview of the design of statistical experiments is presented, with special emphasis on response surface designs, block designs, neighbor designs, and an outlook towards design optimality concludes the survey.
Journal ArticleDOI
Maximin D-optimal designs for longitudinal mixed effects models.
TL;DR: The optimal selection and allocation of time points in repeated measures experiments is considered and it is shown that, for a large class of symmetric designs, the smallest relative efficiency over the model parameter space is substantial.
References
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Journal ArticleDOI
Proceedings of the Fifth Berkeley Symposium on Mathematical Statistics and Probability
Lucien Le Cam,Neyman Jerzy +1 more
Journal ArticleDOI
Designs for Regression Problems with Correlated Errors III
Jerome Sacks,Donald Ylvisaker +1 more
Journal ArticleDOI
On Canonical Forms, Non-Negative Covariance Matrices and Best and Simple Least Squares Linear Estimators in Linear Models
TL;DR: In this paper, it was shown that a linear function is blue for its expectation if and only if the column space of the function is equal to the column of the column for the function.