Optimization of Responses using Balanced Ternary designs

Abstract

Following the works of Das and Narasimham (1962), Kanna et al (2018), the variance of the estimated response of second order rotatable designs (SORD) under Balanced Ternary Design (BTD) for the factors 3 v 8 is suggested and also the obtain the dependence of variance function of response at different design points.  Further, the variations among the estimated response along with the distance from the center under BTD for “v factors 3 to 8” is studied and also observed that some of the balanced ternary designs require additional central points to satisfy the conditions of rotatable designs.

Keywords: Second order rotatable designs, balanced ternary designs, balanced incomplete block designs, and variance function.