| 生丝抽样检验分级理论研究——Ⅵ.分组抽样误差及等效样本容量 |
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| 引用本文： | 白伦. 生丝抽样检验分级理论研究——Ⅵ.分组抽样误差及等效样本容量[J]. 苏州大学学报(工科版), 1987, 0(2) |
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| 作者姓名： | 白伦 |
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| 作者单位： | 苏州丝绸工学院制丝教研室 |
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| 摘 要： | 在一般的假设条件下,导出分组抽样的样本平均值的方差计算式,并通过提出等效样本容量的概念,使分组抽样问题得以导入随机抽样为基础的分级理论。最后以检验费用为目标函数,给出了最优化决定分组抽样数量的方法,提出了在数理统计角度上评价抽样方法的指标。通过电算模拟抽样验证了有关理论结果。
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| 关 键 词： | 随机抽样 分组抽样 样本均值方差 效等样本容量 |
A Research Concerning the Theory of Gradation in the Sampling Inspection on Raw Silk Part Six: The stratifies sampling error and the equivalent sample size |
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| Bai Lun. A Research Concerning the Theory of Gradation in the Sampling Inspection on Raw Silk Part Six: The stratifies sampling error and the equivalent sample size[J]. Journal of Suzhou University(Engineering Science Edition), 1987, 0(2) |
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| Authors: | Bai Lun |
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| Abstract: | The variance formula of the sample mean of the stratified sampling has been derived from some common hypotheses and by putting forward a new concept, i.e.the equivalent sample size, the stratified sampling has been introduced into the system of the theory of grading based on the random sampling. Moreover, taking the cost of inspection as the objective function, the optimal method for fixing the sample size in the stratified sampling has been obtained and the index for appraising the sampling method on the basis of the mathematical statistics has been proposed. Those theoretical results have been tested and verified through computer simulation. |
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| Keywords: | random sampling stratified sampling variance of the sample mean eguivalent sample size. |
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