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固体分层取样方案的最优化设计
引用本文:高志,何锡文.固体分层取样方案的最优化设计[J].分析科学学报,1999,15(2):99-102.
作者姓名:高志  何锡文
作者单位:南开大学化学系
基金项目:国家自然科学基金,博士点基金
摘    要:本文首次从理论上探讨了取得量对分层取样误差的影响,提出了总取样量一定时各层的最佳取样量和最小取样方差的计算公式,从而为分层取样的最佳取样方案设计提供了理论依据。

关 键 词:分层取样  最优化设计  取样  固体分层取样

The Optimum Design for Stratified Sampling of Solid Materials
Gao Zhi,He Xiwen,Zhang Guizhu.The Optimum Design for Stratified Sampling of Solid Materials[J].Journal of Analytical Science,1999,15(2):99-102.
Authors:Gao Zhi  He Xiwen  Zhang Guizhu
Abstract:The effect of sampling mass on the stratified sampling errors of solid materials was studied for the first time in this paper. Equations of the optimum sampling weight and the minimum sampling variance were presented, which provided a theoretical basis for the optimum design for stratified sampling. This theory was verified by the experiment of stratified sampling for chemical analysis of silicon carbide material. It is generally applicable so as to enrich the theory of sampling in analytical chemistry.
Keywords:Stratified sampling    Optimum design    Minimum sampling variance  
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