关键词: 域估计, 方差估计量, 复杂抽样设计, 层, 群, 权数

Abstract: With the development in quantitative research and survey data of academic institutions open freely in China, researchers not only use the sample survey data to analyze the population, but also analyze the domains. In this paper, we study the problem of domain estimation which satisfies the precision estimation of the domain. According to the actual survey experience, it is pointed out that we need to make sure the domain and consider domain estimation in the sampling design. Then, we study the domain problem in the simple random sampling and find the problem is the random sample size in domain. In practice, survey data refers to sample design in which samples have been sampled in a way that is multi-stage, stratified, clustered and unequal probability sampling design. We need to consider the complex sampling design information, domain sample size and the domain samples distribution in population, especially the stratum and clusters. This paper uses the data of China family panel studies to study the domain estimation problems.

Key words: Domain Estimation, Variance Estimator, Complex Survey Design, Stratum, Cluster, Weight