Optimal Covariate Designs (OCDs): Scope of the Monograph

New Series of D-efficient Covariate Designs under BIBD set-up

“…24 (1), 2024 RCBD set-ups without the existence of Hadamard matrix of order v or b. Some new series of Doptimal covariate designs in CRD and RCBD set-ups were also reported by Das et. al.…”

“…But in the present situations (i) and (ii), it follows that Z΄QZ< Z΄Z. Now, the problem is that of selecting Z-matrix with () t ij z ≤ 1 satisfying the conditions either (i) or (ii), such that the covariate design will be either D-efficient or D-optimal, i.e., det(I(γ)) or det(Z΄Z -ZʹX(X΄X) -X΄Z) should be maximum when Z  Z, Z = {Z: () [ 1,1] ,…”

“…(2015) published an excellent book on 'Optimal Covariate Designs' covering developments in the topic of optimum covariates for different design set-ups. Furthermore, Das et al (2020) has reported some new series of universal/global optimal covariate designs in CRD and International Journal of Statistical Sciences, Vol. 24 (1), 2024 RCBD set-ups without the existence of Hadamard matrix of order v or b.…”

“…Furthermore, Das et al (2020) has reported some new series of universal/global optimal covariate designs in CRD and International Journal of Statistical Sciences, Vol. 24 (1), 2024 RCBD set-ups without the existence of Hadamard matrix of order v or b. Some new series of Doptimal covariate designs in CRD and RCBD set-ups were also reported by Das et.…”

“…For all the developed D-efficient designs, the covariates are mutually orthogonal to each other. The methods of construction of D-efficient covariate designs are developed with the help of a new matrix viz., Special Array (Das et. al., 2020).…”