敏感性问题抽样调查的应用注记

Applied Notes of Sampling Survey for Sensitive Questions

本文对敏感性问题抽样调查在应用中发现的一些问题作了初步探索，考虑了同时调查多个敏感性问题时，用每个问题分别独立地随机化回答敏感性问题或与之配对的另一问题的方法，此时估计每个敏感性问题的相关性，给出了极大似然估计及贝叶斯估计．另外，还考虑了用一次随机化回答几个敏感性问题或与之配对的另几个问题的情形．

This paper probes the problems from the survey of sensitive questions. The likelihood and Bayesian estimation of the proportions of answers to the questions and the cross proportions between the questions is given in the case that one of the pair of the sensitive question and the match question in the questionaire with more than one sensitive question is picked respectively independantly and randomly. In addition, I consider the case that more than one of the pair of the sensitive question and the match question are answered once a radomization is also considered