Construction of Second Order Rotatable Simplex Designs

Construction of Second Order Slope - Rotatable Designs

In this paper, a new method of construction of three and five level second order slope-rotatable designs (SOSRD) using two suitably chosen dissimilar incomplete block designs like balanced incomplete block designs and symmetrical unequal block arrangements with two unequal block sizes is developed. The method of construction of SOSRD by Victorbabu and Narasimham [11] is shown to be a particular...

Three-Level Simplex Designs and Their Use in Second-Order Composite Designs

This article first presents three-level simplex designs of n = k+1 runs for k factors. Each simplex design is composed of k treatment combinations from a two-level factorial design, plus an additional base run that represents a third level for each factor. These orthogonal, first-order designs are simple to construct. It is also noted that the k treatment combinations in each simplex design • f...

Second-Order Experimental Designs for Simulation Metamodeling

The main purpose of this study is to compare the performance of a group of second-order designs such as Box-Behnken, face-center cube, three-level factorial, central composite, minimum bias, and minimum variance plus bias for estimating a quadratic metamodel. A time-shared computer system is used to demonstrate the ability of the designs in providing good fit of the metamodel to the simulation ...

A Measure of Rotatability for Second Order Response Surface Designs

Shrinkage simplex-centroid designs for a quadratic mixture model

A simplex-centroid design for q mixture components comprises of all possible subsets of the q components, present in equal proportions. The design does not contain full mixture blends except the overall centroid. In real-life situations, all mixture blends comprise of at least a minimum proportion of each component. Here, we introduce simplex-centroid designs which contain complete blend...