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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Acknowledgements
Authors are grateful to referees for the constructive comments that have led to a considerable improvement in the structure of the manuscript. Financial assistances received from Indian Council of Agricultural Research in the form of Lal Bahadur Shashtri Young Scientist Award Project (Corresponding author) and Junior Research Fellowship (First author) are duly acknowledged. We also acknowledge the facilities provided by ICAR-IASRI, P.G. School, IARI and ICAR-CMFRI for conducting the research.
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Kumar, J., Jaggi, S., Varghese, E. et al. First order rotatable designs incorporating differential neighbour effects from experimental units up to distance 2. Metrika 83, 923–935 (2020). https://doi.org/10.1007/s00184-020-00762-6
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DOI: https://doi.org/10.1007/s00184-020-00762-6