Approximate Tests of Independence and Goodness of Fit Based on Stratified Multistage Samples
Approximate Tests of Independence and Goodness of Fit Based on Stratified Multistage Samples
复制标题
基于分层多阶段样本的独立性和拟合优度的近似检验
DOI：
10.1080/01621459.1980.10477462
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发表时间：
1980
影响因子：
3.7
通讯作者：
I. Fellegi
中科院分区：
文献类型：
--
作者：
I. Fellegi
摘要获取调查数据所使用的样本设计对线性统计的影响是许多抽样文献的主题。最近，设计对非线性统计的影响受到了更多的关注；阻碍这些研究的主要因素是至少估计此类统计的前两个矩的问题。本文在现有文献的基础上，研究了从复杂样本中估计非线性统计量的方差问题。研究了从复杂样本计算的卡方统计量检验拟合优度或独立性假设的行为。开发了替代试验，并在模拟实验中研究了它们的性能。
Abstract The impact on linear statistics of the sample design used in obtaining survey data is the subject of much of sampling literature. Recently, more attention has been paid to the design's impact on nonlinear statistics; the major factor inhibiting these investigations has been the problem of estimating at least the first two moments of such statistics. The present article examines the problem of estimating the variances of nonlinear statistics from complex samples, in the light of existing literature. The behavior of the chi-squared statistic computed from a complex sample to test hypotheses of goodness of fit or independence is studied. Alternative tests are developed and their properties studied in simulation experiments.