A0601
Title: Construction of (nearly) orthogonal symmetric Latin hypercube designs
Authors: Liuqing Yang - Central South University (China) [presenting]
Abstract: Latin hypercube designs (LHDs) have been widely used as computer experimental designs when a linear model is fitted. The symmetric LHD (SLHD), as a special kind of LHDs, can guarantee that the estimates of second-order effects and main effects are uncorrelated. Two methods are proposed to construct orthogonal SLHDs (OSLHDs) and nearly orthogonal SLHDs (NOSLHDs). The first method can generate new designs based on existing OSLHDs. Some new NOSLHDs with flexible run sizes and good nearly orthogonality can be constructed. Moreover, the resulting OSLHDs of the second construction method have better stratification properties than existing OSLHDs. A case study is provided to highlight the effectiveness of constructed designs in data collection.