期刊
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS
卷 51, 期 8, 页码 2565-2579出版社
TAYLOR & FRANCIS INC
DOI: 10.1080/03610926.2020.1777309
关键词
Balanced design; coincidence number; difference matrix; non-orthogonality
资金
- National Natural Science Foundation of China [11771220, 11971098]
- National Ten Thousand Talents Program
- Fundamental Research Funds for the Central Universities
- Tianjin Development Program for Innovation and Entrepreneurship
- Tianjin 131 Talents Program
This paper introduces a method of design obtained by Kronecker sum and develops new methods for constructing supersaturated designs. The proposed methods are easy to implement and can obtain designs with nice properties.
A supersaturated design (SSD) is a factorial design whose run size is not enough for estimating all the main effects. Such designs have received much recent interest because of their potential in factor screening experiments. This paper first shows that the design obtained by the Kronecker sum of a balanced design and a generalized Hadamard matrix (i.e., a matrix with both itself and its transpose being difference matrices) has some nice properties. Based on these findings, some new methods for constructing E(f(NOD))-optimal SSDs via generalized Hadamard matrices are developed. Meanwhile, the non-orthogonality of the proposed designs is well controlled by the source designs. In addition, some generalized Hadamard matrices with nice properties are constructed for obtaining E(f(NOD))-optimal SSDs. The proposed methods are easy to implement and many new SSDs can then be constructed.
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