本文的目的为敏感性问题提供科学的较复杂抽样调查方法及其统计量的计算公式。使用Cochr~nW.G.的抽样理论、随机应答技术的Warner模型、全概率公式、方差的基本性质等理论与方法,推导出二分类敏感问题随机应答技术Warner模型在整群抽样、分层整群抽样下总体比例的估计量及其估计方差的计算公式,并在苏州大学学生婚前性行为的调查中取得了信度较高的成功应用效果。
To explore scientific sampling methods and corresponding formulas for sensitive question survey on stratified cluster sampling . Cochran W.G.'s classic sampling theories, Warner model, total probability formulas and properties of variance were used in this paper. Formulas for the estimate of the population proportion and its variance on Warner model in cluster sampling and stratified cluster sampling were deduced. With high reliability, our survey methods on Warner model may have an extensive application in sensitive question survey.