| 取样方差估计值的精度与样本数目之间的关系 |
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| 引用本文： | 高志,李一峻,何锡文,朱守田.取样方差估计值的精度与样本数目之间的关系[J].分析化学,2001,29(2):171-174. |
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| 作者姓名： | 高志 李一峻 何锡文 朱守田 |
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| 作者单位： | 南开大学化学系 |
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| 摘 要： | 通过数学推导建立了取样方差估计值的精度与样本数目之间的定量关系。实验也证明，取样方差估计值的标准偏差与样本数目的平方根之积可近似为一常数。应用蒙特卡罗技术模拟随机取样，对该关系式进行了验证，并探讨了取样方差估计值的分布规律，表明其规律对于组分含量服从正态分布，均匀随机分布及多项分布总体是相似的。
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| 关 键 词： | 随机取样 取样精密度 蒙特卡罗模拟 取样方差估计值 样本数目 |
Relationship Between the Precision of Estimated Sampling Variances and the Number of Samples |
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| Gao Zhi,Li Yijun,He Xiwen,ZHU Shoutian.Relationship Between the Precision of Estimated Sampling Variances and the Number of Samples[J].Chinese Journal of Analytical Chemistry,2001,29(2):171-174. |
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| Authors: | Gao Zhi Li Yijun He Xiwen ZHU Shoutian |
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| Abstract: | The relationship between the precision of the estimated sampling variances and the number of samples was quantitatively established. It revealed that the product of the standard deviation of the estimated sampling variance and square root of the number of samples was a constant.Monte Carlo simulation technique was employed to verify the equation. Populations with Gaussian, uniform random and multi-nomial(taking silicon carbide material as an example) distributions were studied with satisfactory results. |
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| Keywords: | Random sampling sampling precision Monte Carlo simulation |
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