Rotatable Mixed-Level Response Surface Designs Incorporating Neighbour Effect
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Authors
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Ashutosh Dalal, Seema Jaggi
ICAR-Indian Agricultural Statistics Research Institute, New Delhi - 110 012, India
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Eldho Varghese*
2ICAR-Central Marine Fisheries Research Institute, Kochi - 682 018, India
Keywords:
Overlap effect; response surface methodology; rotatable design; R-packageAbstract
In this paper, response surface designs have been constructed for a specific factor level combination that ensures the rotatability of the design. Here,
the underlying situation is considered when experimental units are suspected of having neighbouring or overlap effects from left and right adjacent
units. Furthermore, conditions have been established to ensure orthogonal estimation of the model parameters, thereby ensuring the constancy of the
variance of the estimated response. A new methodological approach to the construction of designs of the form
3 1 2 n n
1 2 3
s ×s ×s
satisfying derived conditions has been developed. R functions are also developed to generate the proposed series of designs.
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