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D-optimal designs for covariate parameters in block design set up
G DUTTA, P DAS, N K MANDAL
Published in TAYLOR & FRANCIS INC
2010
Volume: 39
   
Issue: 19
Pages: 3434 - 3443
Abstract
The problem considered is that of finding D-optimal design for the estimation of covariate parameters and the treatment and block contrasts in a block design set up in the presence of non stochastic controllable covariates, when N=2(mod4), N being the total number of observations. It is clear that when N0 (mod4), it is not possible to find designs attaining minimum variance for the estimated covariate parameters. Conditions for D-optimum designs for the estimation of covariate parameters were established when each of the covariates belongs to the interval [-1, 1]. Some constructions of D-optimal design have been provided for symmetric balanced incomplete block design (SBIBD) with parameters b=v, r=k=v-1, =v-2 when k=2 (mod4) and b is an odd integer. Copyright © Taylor & Francis Group, LLC.
About the journal
JournalCommunications in Statistics - Theory and Methods
PublisherTAYLOR & FRANCIS INC
ISSN0361-0926