兩不相關敏感性問題隨機作答模式之一般化研究

A Generalized Randomized Response Model for Two Unrelated Sensitive Questions

王智立(Chih-Li Wang) ； 許雅恬(Ya-Tien Hsu)

《Journal of Data Analysis》 3卷1期 (2008/02) Pp. 113-132

https://doi.org/10.6338/JDA.200802_3(1).0008

摘要

當在進行研究調查，研究的議題牽涉敏感特性時，受訪者在基於保護個人隱私的心態下，通常會採取拒答或不誠實作答。Warner（1965）隨機作答模式（Randomized Response），希望能藉由隨機作答模式降低受訪者心理的不安全感，進而得到較精確的母體比例估計。Chang and Liang（1996）提出的兩個不相關敏感性問題隨機作答程序，能同時對兩個敏感性母體進行推估。而Christofides（2003）則是提出另一隨機作答程序，以回答數字之間距離的方式代替直接回答「是」或「否」。本文考慮將張紘炬和梁德馨（1996）提出的兩個不相關敏感性問題隨機作答程序與Christofides（2003）的隨機作答程序做一結合，進而提出新的隨機作答程序，並可找出敏感性母體比例的估計量及其變異數，並進行數據模擬，期望找出最佳的參數配置。此外，文中也將指出在特定參數選擇下，Warner（1965）與Christofides（2003）模式為本文模式之特例。

關鍵字

敏感性問題 ； 隨機作答模式 ； 母體比例

並列摘要

In a sample survey, if the topic of study is involved in sensitive characteristics, respondents usually refuse to reply or answer untruthfully. Warner (1965) proposed a procedure termed ”Randomized Response” to reduce the sense of insecurity of respondents and obtain an accurate population proportion estimator. Another procedure is for two unrelated sensitive questions proposed by Chang and Liang (1996). This procedure can estimate two population proportions at same time. Christofides (2003) proposed alternative randomized response. Respondents do not answer ”yes” or ”no” directly, reply ”distance” instead in the procedure. This paper combines Chang and Liang (1996) with Christofides (2003) and proposes a new randomized response procedure. We also show the estimator of sensitive population proportion, the variance of estimator and simulate data. In addition, in some specific parameters, Warner (1965) and Christofides (2003) procedures are special cases of the procedure which we proposed.

並列關鍵字

Sensitive question ； Randomized Response model ； Population proportion

參考文獻

Christofides, T. C.(2003).A generalized randomized response technique.Metrika.57,195-200.

Chang, H. J.,Liang, D. H.(1996).A randomized response procedure for two-unrelated sensitive questions.Journal of Information & Optimization Sciences.17(1),185-198.

Warner, S. L.(1965).Randomized response: A survey technique for eliminating evasive answer bias.Journal of American Statistical Association.60,63-69.