First order rotatable designs incorporating differential neighbour effects from experimental units up to distance 2

Jitendra Kumar, Seema Jaggi, Eldho Varghese (), Arpan Bhowmik and Cini Varghese
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Jitendra Kumar: ICAR-Indian Agricultural Statistics Research Institute
Seema Jaggi: ICAR-Indian Agricultural Statistics Research Institute
Eldho Varghese: ICAR-Central Marine Fisheries Research Institute
Arpan Bhowmik: ICAR-Indian Agricultural Statistics Research Institute
Cini Varghese: ICAR-Indian Agricultural Statistics Research Institute

Metrika: International Journal for Theoretical and Applied Statistics, 2020, vol. 83, issue 8, No 3, 923-935

Abstract: Abstract In this paper, first-order response surface model incorporating neighbour effects from experimental units up to distance 2 has been discussed where experimental plots experience the neighbour effects from immediate left and right neighbouring units as well as from units at distance 2 assuming the plots are placed linearly without gaps. Conditions have been derived for the orthogonal estimation of the parameters of the model. A method of constructing designs for fitting first-order response surface model which ensures the constancy in the prediction variance after incorporating neighbor effects up to distance 2 has been developed and named as FORDDNE-2.

Keywords: Response surface; Neighbour effects up to distance 2; Differential neighbour effects; Rotatability; Orthogonality (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1007/s00184-020-00762-6

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