A Three-Stage Optional Randomized Response Model

A Three-Stage Optional Randomized Response Model
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DOI:
10.1080/15598608.2012.695558
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发表时间:
2012-01-01
影响因子:
0.6
通讯作者:
Gupta, Sat
Gupta, Sat
中科院分区:
其他
文献类型:
--
作者:
Mehta, Samridhi;Dass, B. K.;Gupta, Sat

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在Gupta等人中。(2010;2011),据观察,在可选的随机反应模型中引入真值因素可以提高均值估计的效率。但是,如果基本问题高度敏感,则可能需要较大的真值参数(T)。这可能会危及对方的合作。在我们所称的“三阶段可选随机回答模型”中,一个已知比例(T)的受访者被要求说出真相,另一个已知比例(F)的受访者被要求提供加扰的回答,其余的受访者被指示提供遵循通常的任选随机回答策略的回答,其中受访者根据他/她是否认为问题不敏感(或敏感)而提供真实的回答(或混乱的回答)。这是根据研究人员看不到的颜色编码卡片匿名完成的。在本文中,我们证明了三阶段模型可能比相应的两阶段模型更有效,并且在T值较小的情况下,更大的响应者合作将是三阶段模型的附加优势。
In Gupta et al. (2010; 2011), it was observed that introduction of a truth element in an optional randomized response model can improve the efficiency of the mean estimator. However, a large value of the truth parameter (T) may be needed if the underlying question is highly sensitive. This can jeopardize respondent cooperation. In what we call a "three-stage optional randomized response model," a known proportion (T) of the respondents is asked to tell the truth, another known proportion (F) of the respondents is asked to provide a scrambled response, and the remaining respondents are instructed to provide a response following the usual optional randomized response strategy where a respondent provides a truthful response (or a scrambled response) depending on whether he/she considers the question nonsensitive (or sensitive). This is done anonymously based on color-coded cards that the researcher cannot see. In this article we show that a three-stage model may turn out to be more efficient than the corresponding two-stage model, and with a smaller value of T. Greater respondent cooperation will be an added advantage of the three-stage model.