This paper deals with blocking of first order response surface model with interaction under equi- and auto-correlated error structure. The conditions for orthogonal blocking, orthogonal estimation of the parameters and constancy of the variance of the predicted response have been derived for the proposed model. D-optimality criterion for orthogonally blocked first order response surface designs with interaction has also been discussed. A method of construction of design satisfying the derived conditions is given under the proposed model along with an illustration.
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