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Generating randomized response by inverse Bernoullian trials in unrelated characteristics model

机译:通过反向伯努利试验在无关特征模型中生成随机响应

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In estimating a finite population proportion of people bearing a stigmatizing characteristic Warner's (1965) Randomized Response (RR) device is well-known when the complementary characteristic is supposedly innocuous. But when both may be sensitive Simmons' Unrelated (URL, in brief) Model RR device is well-known as a feasible alternative. Both devices generate RR's by Bernoullian trials recording data on a match or mis-match of a respondent's true feature and the feature marked on a randomly chosen card drawn from a box placed in front of the person. A recently reported 'alternative' device records instead the first occurrence of a 'match' in repeatedly drawn cards from the box with replacement. This artifice fails with URL model. An amended procedure is presented demonstrating its advantages.
机译:在估计带有污名化特征的人的有限人口比例时,Warner(1965)的随机响应(RR)设备据称是互补特征无害的。但是,当两者都敏感时,西蒙斯的不相关(简称URL)模型RR设备是众所周知的可行替代方案。两种设备均通过伯努利安试验生成RR,将数据记录为受访者真实特征的匹配或不匹配,以及从放置在人前盒子上的随机选择的卡片上标记的特征。取而代之的是,最近报告的“替代”设备记录了从包装盒中反复抽出的替换牌中首次出现“匹配”的情况。 URL模型无法使用此技巧。提出了修改后的程序,以证明其优势。

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