多项选择敏感问题RRT二阶段抽样的统计方法及应用  

Statistical Methods of Two-stage Sampling on the Randomized Response Technique for Sensitive Question Survey with Multiple Choices and its Application

作　　者：贺志龙[1] 高歌[1] 王冕[1] 朱宏儒[1] 于明润[1] 李旭东[1] 

机构地区：[1]苏州大学公共卫生学院流行病与卫生统计教研室,215123

出　　处：《中国卫生统计》2009年第6期580-582,共3页Chinese Journal of Health Statistics

基　　金：国家自然科学基金项目(项目编号:30571620;30972548)

摘　　要：目的为多项选择敏感性问题提供科学的抽样调查方法及其统计量的计算公式。方法本文中,多项选择敏感问题RRT模型、两阶段抽样调查方法、抽样理论、全概率公式、方差的基本性质等理论与方法被应用。结果推导出多项选择敏感问题随机应答模型在两阶段抽样下总体比例的估计量及其估计方差的计算公式;应用此调查方法及相关公式调查得苏州大学学生近两个学期考试作弊0次、1～2次、>2次的比例分别为68.066%,18.072%,13.861%。结论多项选择敏感问题随机应答模型下的二阶段抽样调查方法及相应的统计计算公式科学可行。Objective To explore scientific sampling methods and corresponding formulas for multiple choices sensitive questions survey with the sample selected by two-stage sampling. Methods Randomized response technique of multiple choices sensitive questions and two-stage sampling were showed in this paper. Moreover, sampling theories, total probability formulas and properties of variance were used. Results Formulas for the estimator of the population proportion and its variance on randomized response model of multiple choices sensitive questions in two-stage sampling were deduced. Our survey methods and formulas on the RRT model may have a successful application for multiple choices sensitive questions survey, what students of Soochow University cheated in exams. The severity of cheating in exams was classified into three types and the proportion was 68. 066%, 18. 072% and 13. 861% respectively. Conclusion The methods and corresponding formulas on multiple choices sensitive questions survey with the sample selected by two-stage sampling were feasible.

关 键 词：敏感问题 多项选择 随机应答技术 二阶段抽样 考试作弊 

分 类 号：C811[社会学—统计学]