Optimal designs for models with covariates
Abstract
The model refers to a treatment design with one treatment at v levels and first
Order regression on K continuous covariates attached to each experimental unit. The
Problem is that of constructing optimal completely randomized design plans for
estimating both the treatment effect parameters and the covariate value parameters. The
attention is for the classes of designs with N = i (mod4); i = 0, 1, 2, 3. The D-criterion has
been used to judge the goodness of the design for estimating the parameters in this model.
Design plans with equal replications have been developed for which N = v x R where N
is the total number of observations. Hadamard Matrices and Symmetric Conference
Matrices playa central role in this study.
Keywords: Completely Randomized designs, information matrix, Hadamard Matrix,
Symmetric Conference Matrix, Covariates, Designs with equal replications.
Citation
M.Sc (Statistics)Sponsorhip
University of NairobiPublisher
School of Mathematics, University of Nairobi
Description
Master of Science Thesis