On the construction of normal mixed difference matrices

摘要：

By exploring the relationship between difference matrices and orthogonal decomposition of projection matrices, this paper presents a general method for constructing smaller normal mixed difference matrices. Moreover, given a normal mixed difference matrix of order r +1 and a difference matrix of order r, this paper also presents a general method for constructing a lager normal mixed difference matrix of order r(r+1). Furthermore, if the difference matrix of order r does not exist but an orthogonal array of runs r2 exists, we can also construct a lager normal mixed difference matrix from the normal mixed difference matrix of order r+1 and the orthogonal array of runs r2. Furthermore, if the difference matrix of order r does not exist but an orthogonal array of runs r2 exists, we can also construct a lager normal mixed difference matrix from the normal mixed difference matrix of order r+1 and the orthogonal array of runs r2. As an application of these methods, some normal mixed difference matrices are constructed.

关键词： Normal mixed difference matrix Kronecker sum orthogonal array (OA) projection matrix.

作者: Shanqi Pang Yingshan Zhang

作者单位: Department of Mathematics, Henan Normal University, Xinxiang, 453007, P. R. China Department of Statistics, East China Normal University, Shanghai, 200062, P. R. China

会议类型: 国际会议

会议名称: 2006 International Conference on Design of Experiments and Its Applications(2006实验设计及其应用国际会议)

会议地点: 天津

会议语种:英文

在线出版日期: 2006-07-09（万方平台首次上网日期，不代表论文的发表时间）