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

Kumar, Jitendra and Jaggi, Seema and Varghese, Eldho and Bhowmik, Arpan and Varghese, Cini (2020) First order rotatable designs incorporating differential neighbour effects from experimental units up to distance 2. Metrika, 83. pp. 923-935.

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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.

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