Construction of Orthogonal Arrays without Interaction Columns  

作　　者：Shan-qi PANG Ya-ping WANG Ming-yao AI 

机构地区：[1]School of Mathematics and Information Science,Henan Engineering Laboratory for Big Data Statistical Analysis and Optimal Control,Henan Normal University,Xinxiang 453007,China [2]KLATASDS-MOE,School of Statistics,East China Normal University,Shanghai 200062,China [3]LMAM,School of Mathematical Sciences and Center for Statistical Science,Peking University,Beijing 100871,China

出　　处：《Acta Mathematicae Applicatae Sinica》2022年第1期159-168,共10页应用数学学报（英文版）

基　　金：supported by NSFC grants 11971004 and 11571094;supported by NSFC grants 11901199 and 71931004;supported by NSFC grants 12071014 and 12131001;Shanghai Sailing Program 19YF1412800;SSFC grant 19ZDA121 and LMEQF。

摘　　要：In this paper a new class of orthogonal arrays(OAs),i.e.,OAs without interaction columns,are proposed which are applicable in factor screening,interaction detection and other cases.With the tools of difference matrices,we present some general recursive methods for constructing OAs of such type.Several families of OAs with high percent saturation are constructed.In particular,for any integerλ≥3,such a two-level OA of run 4λcan always be obtained if the corresponding Hadamard matrix exists.

关 键 词：complex aliasing difference matrix Hadamard matrix Kronecker sum symmetric array 

分 类 号：O151.21[理学—数学]