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- Title
TREND FREE BLOCK DESIGNS BALANCED FOR INTERFERENCE EFFECTS FROM NEIGHBOURING EXPERIMENTAL UNITS.
- Authors
BHOWMIK, ARPAN; JAGGI, SEEMA; VARGHESE, CINI; VARGHESE, ELDHO
- 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.
- Subjects
BLOCK designs; MATRICES (Mathematics); ESTIMATION theory; MATHEMATICAL constants; EXISTENCE theorems
- Publication
Journal of Combinatorics, Information & System Sciences, 2014, Vol 39, Issue 1-4, p117
- ISSN
0250-9628
- Publication type
Article