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Optimal Covariate Designs - Theory and Applications (Paperback, Softcover reprint of the original 1st ed. 2015)
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Optimal Covariate Designs - Theory and Applications (Paperback, Softcover reprint of the original 1st ed. 2015)
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This book primarily addresses the optimality aspects of covariate
designs. A covariate model is a combination of ANOVA and regression
models. Optimal estimation of the parameters of the model using a
suitable choice of designs is of great importance; as such choices
allow experimenters to extract maximum information for the unknown
model parameters. The main emphasis of this monograph is to start
with an assumed covariate model in combination with some standard
ANOVA set-ups such as CRD, RBD, BIBD, GDD, BTIBD, BPEBD,
cross-over, multi-factor, split-plot and strip-plot designs,
treatment control designs, etc. and discuss the nature and
availability of optimal covariate designs. In some situations,
optimal estimations of both ANOVA and the regression parameters are
provided. Global optimality and D-optimality criteria are mainly
used in selecting the design. The standard optimality results of
both discrete and continuous set-ups have been adapted, and several
novel combinatorial techniques have been applied for the
construction of optimum designs using Hadamard matrices, the
Kronecker product, Rao-Khatri product, mixed orthogonal arrays to
name a few.
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