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Optimal regression designs
B K SINHA, N K MANDAL, , P DAS
Published in Springer Science and Business Media, LLC
2014
Volume: 1028
   
Pages: 9 - 21
Abstract
In this chapter, we review the theory of optimum regression designs. Concept of continuous design and different optimality criteria are introduced. The role of de la Garza phenomenon and Loewner order domination are discussed. Equivalence theorems for different optimality criteria, which play an important role in checking the optimality of a given otherwise prospective design, are presented. These results are repeatedly used in later chapters in the search for optimal mixture designs. We present standard optimality results for single variable polynomial regression model and multivariate linear and quadratic regression model. Kronecker product representation of the model(s) and related optimality results are also discussed. © 2014, Springer India.
About the journal
JournalData powered by TypesetLecture Notes in Statistics
PublisherData powered by TypesetSpringer Science and Business Media, LLC
ISSN0930-0325
Open AccessNo