V2EX stratified sampling

Stratified Sampling

Definition / 定义

分层抽样:一种抽样方法,先把总体按某些关键特征(如年龄、地区、收入等)划分为若干“层”(strata),再在每一层内分别抽取样本(可按比例或等量抽取),以提高样本代表性并降低估计误差。(在统计与调查研究中非常常见;也存在不同的分配方式,如比例分配、最优分配等。)

Pronunciation / 发音(IPA)

/strtfad smpl/

Examples / 例句

We used stratified sampling to ensure each age group was represented.
我们采用分层抽样,以确保每个年龄组都有代表。

In a nationwide survey, stratified sampling by region and income level can reduce bias and improve the precision of estimates.
在全国性调查中,按地区和收入水平进行分层抽样可以减少偏差,并提高估计结果的精确性。

Etymology / 词源

stratified 来自 stratum(“层”,原指地质层;后引申为社会阶层、分类层次),“stratify”意为“分层、使分层”;sampling 来自 sample(“样本”)。合起来就是“按层来抽样”的方法名称,强调先分层、再抽取。

Related Words / 相关词

Notable Works / 文献与著作中的用例

  • Sampling Techniques(William G. Cochran):经典抽样理论教材,系统讨论分层抽样的原理与方差分析。
  • Survey Sampling(Leslie Kish):调查抽样领域名著,分层设计与实际调查应用频繁出现该术语。
  • Sampling: Design and Analysis(Sharon L. Lohr):现代抽样教材,涵盖分层抽样及其在调查与官方统计中的应用。
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