Abstract

Three component orthogonal block designs are obtained using pairs of latin squares called mates. All three ingredient optimal mixture designs discussed in the literature consist primarily of two component blends barring the centroid points which are added to remove the singularity of the designs. For a mixture to be practically viable, there could be situations requiring the presence of all the ingredients. In such cases, we use nearly optimal orthogonally blocked designs. Latin square based Dand A- optimal and nearly optimal orthogonally blocked mixture designs for Husain and Sharma’s (2017) reduced cubic canonical model are obtained here for q = 3.

Author: Bushra Husain and Afrah Hafeez

Received on: August, 2020

Accepted on: October, 2022