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In this paper, an empirical study of second order rotatable designs under tri-diagonal correlated structure of errors using incomplete block designs like pairwise balanced designs (PBD) and symmetrical unequal block arrangements (SUBA) with two unequal block sizes are suggested. Further we study the variance function of the estimated response for different values of tri-diagonal correlated coefficient (ρ) and distance from center (d) for 6≤v≤15 (vnumber of factors)).

Second-order response surface designs Equi-spaced doses designs Modified second-order slope rotatable designs a b s t r a c tIn this paper, a new method of construction of modified second-order slope rotatable designs with equi-spaced levels using central composite designs and balanced incomplete block designs is suggested.

In this paper, a study on second order slope rotatable designs under intra-class correlation structure of errors using pairwise balanced designs is suggested. Further, the variance function of the estimated slopes for different values of intra-class correlated coefficient ‘ ’ for 6 ≤ v ≤ 15 (v- number of factors) are studied.