On Measure of Rotatability for Second Order Response Surface Designs – A Review

second order response surface designs

In this paper, we introduce a new generalization of univariate and bivariate modified discrete Weibull distribution. Various properties of the univariate generalized modified discrete Weibull distribution, such as survival function, probability mass function, hazard rate function, probability generating function, and moment generating function, are derived. The joint distribution function, joint probability mass function, marginal distributions, moment generating function, and conditional distribution of the proposed bivariate distribution are derived. Parameters of the distributions are estimated using maximum likelihood estimation. The use of these distributions is illustrated using real-life datasets.

Measure of rotatability that enables us to know the degree of rotatability for
a given response surface design. In this paper, a review on measure of rotatability for second order response surface designs is studied. Further, different methods of constructions of measure of rotatability of second order response surface designs like measure of rotatability using central composite designs, balanced incomplete block designs, pairwise balanced designs, symmetrical unequal block arrangements with two unequal block sizes and pair of partially balanced incomplete block designs are examined in detail.