Chem. J. Chinese Universities ›› 1999, Vol. 20 ›› Issue (12): 1853.

• Articles • Previous Articles     Next Articles

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

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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