Constructional Aspects of Slope Rotatable Designs

Response surface designs play an important role in exploring and exploiting the response surfaces in multifactor experiments. Box and Hunter (1957) introduced rotatable designs for the exploring polynomial response surfaces. Das and Narasimham (1962) constructing second order rotatable designs (SORD). Hader and Park (1978) introduced slope rotatable central composite designs. Victorbabu and Narasimham (1991) constructed second order slope rotatable designs (SOSRD) through balanced incomplete block designs (BIBD). In this work an attempt is made to suggest some new methods of construction of slope rotatable designs. i)Construct augmented SORD as SOSRD using BIBD pair wise balanced designs and symmetrical unequal block arrangements with two unequal block sizes. ii) Construct four and six level SOSRD using BIBD pair wise balanced designs and symmetrical unequal block arrangements with two unequal block sizes. iii)Modified construction of third order slope rotatable designs using central composite design. it is useful for budding researchers working in the area of Design of Experiments.