中文版 | English
题名

Logistic regression analysis of non-randomized response data collected by the parallel model in sensitive surveys

作者
通讯作者Liu, Yin
发表日期
2019-06
DOI
发表期刊
ISSN
1369-1473
EISSN
1467-842X
卷号61期号:2页码:134-151
摘要
To study the relationship between a sensitive binary response variable and a set of non-sensitive covariates, this paper develops a hidden logistic regression to analyse non-randomized response data collected via the parallel model originally proposed by Tian (2014). This is the first paper to employ the logistic regression analysis in the field of non-randomized response techniques. Both the Newton-Raphson algorithm and a monotone quadratic lower bound algorithm are developed to derive the maximum likelihood estimates of the parameters of interest. In particular, the proposed logistic parallel model can be used to study the association between a sensitive binary variable and another non-sensitive binary variable via the measure of odds ratio. Simulations are performed and a study on people's sexual practice data in the United States is used to illustrate the proposed methods.
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语种
英语
学校署名
第一
资助项目
Research Grant Council of the Hong Kong Special Administrative Region[UGC/FDS14/P01/16]
WOS研究方向
Mathematics
WOS类目
Statistics & Probability
WOS记录号
WOS:000474265800002
出版者
ESI学科分类
MATHEMATICS
来源库
Web of Science
引用统计
被引频次[WOS]:8
成果类型期刊论文
条目标识符http://sustech.caswiz.com/handle/2SGJ60CL/25763
专题南方科技大学
理学院_统计与数据科学系
作者单位
1.Southern Univ Sci & Technol, Shenzhen, Peoples R China
2.Zhongnan Univ Econ & Law, Sch Math & Stat, Wuhan 430073, Hubei, Peoples R China
3.Hang Seng Univ Hong Kong, Hong Kong, Peoples R China
第一作者单位南方科技大学
第一作者的第一单位南方科技大学
推荐引用方式
GB/T 7714
Tian, Guo-Liang,Liu, Yin,Tang, Man-Lai. Logistic regression analysis of non-randomized response data collected by the parallel model in sensitive surveys[J]. AUSTRALIAN & NEW ZEALAND JOURNAL OF STATISTICS,2019,61(2):134-151.
APA
Tian, Guo-Liang,Liu, Yin,&Tang, Man-Lai.(2019).Logistic regression analysis of non-randomized response data collected by the parallel model in sensitive surveys.AUSTRALIAN & NEW ZEALAND JOURNAL OF STATISTICS,61(2),134-151.
MLA
Tian, Guo-Liang,et al."Logistic regression analysis of non-randomized response data collected by the parallel model in sensitive surveys".AUSTRALIAN & NEW ZEALAND JOURNAL OF STATISTICS 61.2(2019):134-151.
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