TY - JOUR
T1 - Nearly column-orthogonal designs based on leave-one-out good lattice point sets
AU - Yuan, Ru
AU - Lin, Dennis K.J.
AU - Liu, Min Qian
N1 - Funding Information:
This work was supported by the National Natural Science Foundation of China (Grant Nos. 11271205, 11431006, 11401321 and 11501305), the Specialized Research Fund for the Doctoral Program of Higher Education (Grant No. 20130031110002), the ?131? Talents Program of Tianjin, and National Security Agent via Grant H98230-15-1-0253. The authors thank the Executive-Editor, an Associate-Editor and three referees for their valuable comments.
Publisher Copyright:
© 2017 Elsevier B.V.
PY - 2017/6/1
Y1 - 2017/6/1
N2 - Good lattice point sets have desirable space-filling properties, and many designs with large L1-distance can be obtained by the leave-one-out good lattice point method (Zhou and Xu, 2015). However, there are negatively fully correlated columns in such a design. This is undesirable in the modeling of computer experiments. To overcome such a deficiency, we propose a class of designs based on the leave-one-out good lattice point method, whose columns can be divided into two groups, such that any two columns are column-orthogonal when they are from different groups and nearly column-orthogonal when they are in the same group. The new designs can also estimate the linear effects without being correlated with the second-order effects. Moreover, they have good stratification properties and their L1-distances are comparable with the corresponding designs in Zhou and Xu (2015).
AB - Good lattice point sets have desirable space-filling properties, and many designs with large L1-distance can be obtained by the leave-one-out good lattice point method (Zhou and Xu, 2015). However, there are negatively fully correlated columns in such a design. This is undesirable in the modeling of computer experiments. To overcome such a deficiency, we propose a class of designs based on the leave-one-out good lattice point method, whose columns can be divided into two groups, such that any two columns are column-orthogonal when they are from different groups and nearly column-orthogonal when they are in the same group. The new designs can also estimate the linear effects without being correlated with the second-order effects. Moreover, they have good stratification properties and their L1-distances are comparable with the corresponding designs in Zhou and Xu (2015).
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U2 - 10.1016/j.jspi.2017.01.002
DO - 10.1016/j.jspi.2017.01.002
M3 - Article
AN - SCOPUS:85011421268
SN - 0378-3758
VL - 185
SP - 29
EP - 40
JO - Journal of Statistical Planning and Inference
JF - Journal of Statistical Planning and Inference
ER -