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

Anurup Majumder, Hiranmoy Das, Ankita Dutta, D. Nishad
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Abstract

In the present study, an effort has been made to construct D-efficient covariate designs in BIB design (v, b, r, k and λ) set-up when either one of k and r is odd or both k and r are odd numbers and Hadamard matrix of order k i.e., Hk does not exist. 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). In this article, the series of developed D-efficient covariate designs are not available in the existing literature. International Journal of Statistical Sciences, Vol.24(1), March, 2024, pp 15-30
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BIBD 设置下的新系列 D 效率协变量设计
在本研究中,我们努力在 BIB 设计(v, b, r, k 和 λ)中构建 D 效率协变量设计,即当 k 和 r 中的一个为奇数或 k 和 r 均为奇数,且 k 阶哈达玛矩阵(即 Hk)不存在时的设计。对于所有已开发的 D-效率设计,协变量之间都是相互正交的。D 效率协变量设计的构建方法是在新矩阵(即特殊阵列)的帮助下开发出来的(Das 等人,2020)。在本文中,所开发的一系列 D 效率协变量设计在现有文献中并不存在。
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