Journal of Combinatorics, Information & System Sciences : (A Quarterly International Scientific Journal)
Published in Association with Forum for Interdisciplinary Mathematics
Current Volume: 47 (2022 )
ISSN: 0250-9628
e-ISSN: 0976-3473
Periodicity: Quarterly
Month(s) of Publication: March, June, September & December
Subject: Mathematics
DOI: 10.32381/JCISS
Online Access is free for all life members of JCISS.
Trend Free Block Designs Balanced for Interference Effects from Neighbouring Experimental Units
By : Arpan Bhowmik, Eldho Varghese, Seema Jaggi, Cini Varghese
Page No: 117-133
Abstract
In this paper, we have considered block model with interference effects arising from the immediate neighbouring units on both sides and incorporating spatial trend component. The case of one-sided (say left) interference effects has been considered as a particular case. The information matrices for estimating direct as well as interference effects incorporating trend component have been derived. Further, the conditions for a block design with interference effects to be trend free have been obtained. Method of constructing trend free block design balanced for interference effects have been discussed with reference to both complete and incomplete blocks. The trend free block designs so obtained are totally balanced for estimating direct and interference effects of treatments.
Authors :
Arpan Bhowmik, Seema Jaggi, Cini Varghese and Eldho Varghese : Indian Agricultural Statistics Research Institute, Library Avenue, New Delhi – 110 012, India