Balanced Repeated Replications Based on Mixed Orthogonal Arrays
针对每层初级抽样单元数不同的分层样本，提出用混合正交阵列构造平衡子样本，得到一致的方差估计量并减少非线性统计量的偏差，同时考虑用近正交阵列进一步减少复制次数。
For stratified samples with arbitrary numbers of primary sampling units per stratum, one can divide the units in the stratum into two groups and then apply the balanced half-samples method to the two groups thus formed. The efficiency loss of the grouped balanced half-samples variance estimator can be substantial. Use of a mixed orthogonal array, whose numbers of symbols correspond to the numbers of units per stratum, gives a set of balanced subsamples. Unlike that of Gupta & Nigam (1987), the proposed method of analysis gives a consistent variance estimator and bias reduction for nonlinear statistics. To further reduce the number of replicates, use of nearly orthogonal arrays is considered.