敏感问题随机应答技术模型分层整群抽样下参数的估计

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。方法:使用Cochran W.G.的经典抽样理论,2种随机应答技术(RRT)模型,全概率公式,均数、方差的性质等理论与方法进行公式推导。结果:推导出二分类敏感问题双无关问题RRT模型分别在整群抽样、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;推导出数量特征敏感问题加法RRT模型分别在整群抽样、分层整群抽样下总体均数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、考试作弊次数的调查中取得了成功的应用效果。结论:本研究提供的敏感性问题2种RRT模型的整群抽样、分层整群抽样调查方法与统计量的计算公式信度较高。

Estimation of parameters in stratified cluster sampling on randomized response technique for sensitive question surv

Objective:To explore a scientific,complicated sampling method and corresponding formulas for sensitive question survey.Methods:Cochran W.G.'s classic sampling theories,two randomized response technique(RRT) models,total probability formulas,and properties of mean and variance were used in this study.Results:Formulas for the estimation of the population proportion and its variance for dichotomous sensitive questions on Greenberg model in cluster sampling and stratified cluster sampling were deduced.Formulas ...