高等学校化学学报

高等学校化学学报 ›› 1999, Vol. 20 ›› Issue (12): 1853.

• 论文 • 上一篇    下一篇

组合取样的误差理论研究及其Monte Carlo模拟

高志, 何锡文, 李一峻, 赵洁   

  1. 南开大学化学系, 天津 300071
  • 收稿日期:1999-05-05 出版日期:1999-12-24 发布日期:1999-12-24
  • 通讯作者: 何锡文
  • 作者简介:高志,男,34岁,博士,高级工程师.
  • 基金资助:

    国家自然科学基金(批准号:29575200);教育部博士学科点基金资助课题

Theoretical Study on Composite Sampling and Monte Carlo Simulation

GAO Zhi, HE Xi-Wen, LI Yi-Jun, ZHAO Jie   

  1. Department of Chemistry, Nankai University, Tianjin 300071, China
  • Received:1999-05-05 Online:1999-12-24 Published:1999-12-24

PDF (PC)

被引次数

4

摘要： 基于多项分布理论,建立了组合取样方差与取样总体中各子区的大小及其组分含量之间的关系和计算公式,探讨了组合取样常数的物理意义.以颗粒物质为例,探讨了组合取样的逻辑质量单元的概念及其意义,为确定组合取样中的份样质量提供了理论依据.本文对于完善组合取样误差理论,保证组合取样的质量均具有重要意义.

关键词: 组合取样, 误差理论, 化学计量学, MonteCarlo模拟

Abstract: Based on the multinomial distribution theory, an equation for estimating the composite sampling errors was derived in this paper, by which the composite sampling variance is quantitatively related with the concentrations of the sought-for component, the sizes of the subgroups of the population and the number of increments in the sample. Monte Carlo technique was employed to simulate the composite sampling and verify the above equation with satisfactory results. This equation is generally applicable in composite sampling so as to enrich the theory of sampling in analytical chemistry.

Key words: Composite sampling, Error theory, Chemometrics, Monte Carlo simulation

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