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

Authors

  • Anurup Majumder Bidhan Chandra Krishi Viswavidyalaya, Krishi Viswavidyalaya-741252, India.
  • Hiranmoy Das ICAR-Indian Institute of Vegetable Research, Varanasi-221305, India.
  • Ankita Dutta Bidhan Chandra Krishi Viswavidyalaya, Krishi Viswavidyalaya-741252, India.
  • Dikeshwar Nishad Pt. S. K. Shastri College of Agriculture and Research Station, Rajnandgaon-491441, India.

DOI:

https://doi.org/10.3329/ijss.v24i1.71870

Keywords:

Hadamard Matrix, Optimal Covariate Designs (OCDs), D-efficiency and Kronecker product.

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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Published

2024-03-28

How to Cite

Majumder, A. ., Das, H. ., Dutta, A. ., & Nishad, D. . (2024). New Series of D-efficient Covariate Designs under BIBD set-up. International Journal of Statistical Sciences, 24(1), 15–30. https://doi.org/10.3329/ijss.v24i1.71870

Issue

Vol. 24 No. 1 (2024)

Section

Original Articles

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Copyright (c) 2024 Department of Statistics, University of Rajshahi, Rajshahi

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