基于分层随机样本评估的简单随机抽样精度探讨  

Accuracy Evaluation of Simple Random Sampling Based on Stratified Random Samples

作　　者：邵颖丽 Shao Yingli(School of Statistics and Mathematics,Inner Mongolia University of Finance and Economics,Hohhot 010071,China)

机构地区：[1]内蒙古财经大学统计与数学学院,呼和浩特010071

出　　处：《统计与决策》2020年第18期15-17,共3页Statistics & Decision

基　　金：国家自然科学基金资助项目(71661024)。

摘　　要：针对总体的个体单元之间差异较大,直接做简单随机抽样精度不高的问题,文章给出了一种基于分层随机样本,同样样本量的简单随机抽样精度的评估公式,并通过具体实例与简单随机抽样的简单估计、比估计以及分层随机抽样的简单估计在精度上做了比较。结果表明,基于分层随机样本下的简单随机抽样比估计的精度要高。In order to solve the problem of large difference between individual units and low precision of directly-done simple random sampling,this paper presents an accuracy evaluation formula for simple random sampling based on stratified random samples with the same sample size,and then compares the accuracy of the method with that of simple estimation,ratio estimation of simple random sampling,and simple estimation of stratified random samples by use of concrete examples.The results show that the ratio estimation of simple random sampling based on stratified random samples is relatively more accurate.

关 键 词：简单随机抽样 分层随机抽样 简单估计 比估计 

分 类 号：O212.1[理学—概率论与数理统计]