Abstract: This paper is the continuous work of Kai Tai Fang. Orthogonal arrays are widely used in manufacturing and high tech industries for quality and productivity improvement experiments. The construction of orthogonal arrays is an active research topic at present. Most existing methods are complex and produce only limited types of arrays. Described in this paper is a simple and effective method for constructing orthogonal arrays-the quasi physical and quasi sociological algorithms. Some orthogonal arrays L 27 （3 13 ） are obtained independently, which are not isomorphic to historical existing array. It is hoped that this method can produce many new orthogonal arrays after further development.