D-Optimal Designs for Covariate Parameters in Block Design Set Up

被引:5
作者
Dutta, Ganesh [2 ]
Das, Premadhis [3 ]
Mandal, Nripes K. [1 ]
机构
[1] Univ Calcutta, Dept Stat, Kolkata 700019, W Bengal, India
[2] Basanti Devi Coll, Dept Stat, Kolkata, India
[3] Univ Kalyani, Dept Stat, Kalyani 741235, W Bengal, India
关键词
Block designs; Covariates; D-Optimal designs; Hadamard product; Hadamard matrices; Kronecker product; SBIBD; MODELS;
D O I
10.1080/03610920903269970
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
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.
引用
收藏
页码:3434 / 3443
页数:10
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