Chen Xueping, Lin Jinguan, Wang Xiaodi. Optimal Properties of Orthogonal Arrays Based on ANOVA High-Dimensional Model Representation[J]. Chinese Journal of Applied Probability and Statistics, 2013, 29(6): 570-580.
Citation: Chen Xueping, Lin Jinguan, Wang Xiaodi. Optimal Properties of Orthogonal Arrays Based on ANOVA High-Dimensional Model Representation[J]. Chinese Journal of Applied Probability and Statistics, 2013, 29(6): 570-580.

Optimal Properties of Orthogonal Arrays Based on ANOVA High-Dimensional Model Representation

  • Global sensitivity indices play important roles in global sensitivity analysis based on ANOVA high-dimensional representation, Wang et al. (2012) showed that orthogonal arrays are A-optimality designs for the estimation of parameter , the definition of which can be seen in Section 2. This paper presented several other optimal properties of orthogonal arrays under ANOVA high-dimensional representation, including E-optimality for the estimation of and universal optimality for the estimation of , where is the independent parameters of . Simulation study showed that randomized orthogonal arrays have less biased and more precise in estimating the confidence intervals comparing with other methods.
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