The logistic regression model with response variables subject to randomized response
The univariate and multivariate logistic regression model is discussed where response variables are subject to randomized response (RR). RR is an interview technique that can be used when sensitive questions have to be asked and respondents are reluctant to answer directly. RR variables may be descr...
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| Published in: | Computational statistics & data analysis Vol. 51; no. 12; pp. 6060 - 6069 |
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| Format: | Journal Article |
| Language: | English |
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Amsterdam
Elsevier B.V
15.08.2007
Elsevier Science Elsevier |
| Series: | Computational Statistics & Data Analysis |
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| ISSN: | 0167-9473, 1872-7352 |
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| Abstract | The univariate and multivariate logistic regression model is discussed where response variables are subject to randomized response (RR). RR is an interview technique that can be used when sensitive questions have to be asked and respondents are reluctant to answer directly. RR variables may be described as misclassified categorical variables where conditional misclassification probabilities are known. The univariate model is revisited and is presented as a generalized linear model. Standard software can be easily adjusted to take into account the RR design. The multivariate model does not appear to have been considered elsewhere in an RR setting; it is shown how a Fisher scoring algorithm can be used to take the RR aspect into account. The approach is illustrated by analyzing RR data taken from a study in regulatory non-compliance regarding unemployment benefit. |
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| AbstractList | The univariate and multivariate logistic regression model is discussed where response variables are subject to randomized response (RR). RR is an interview technique that can be used when sensitive questions have to be asked and respondents are reluctant to answer directly. RR variables may be described as misclassified categorical variables where conditional misclassification probabilities are known. The univariate model is revisited and is presented as a generalized linear model. Standard software can be easily adjusted to take into account the RR design. The multivariate model does not appear to have been considered elsewhere in an RR setting; it is shown how a Fisher scoring algorithm can be used to take the RR aspect into account. The approach is illustrated by analyzing RR data taken from a study in regulatory non-compliance regarding unemployment benefit. |
| Author | Gilchrist, Robert van der Heijden, Peter G.M. van den Hout, Ardo |
| Author_xml | – sequence: 1 givenname: Ardo surname: van den Hout fullname: van den Hout, Ardo email: ardo.vandenhout@mrc-bsu.cam.ac.uk organization: MRC Biostatistics Unit, Institute of Public Health, Robinson Way, Cambridge CB2 0SR, UK – sequence: 2 givenname: Peter G.M. surname: van der Heijden fullname: van der Heijden, Peter G.M. organization: Department of Methodology and Statistics, Faculty of Social Sciences, Utrecht University, P.O. Box 80140, 3508 TC Utrecht, The Netherlands – sequence: 3 givenname: Robert surname: Gilchrist fullname: Gilchrist, Robert organization: STORM Research Centre, London Metropolitan University, Holloway Road, London N7 8DB, UK |
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| Keywords | Sensitive questions Misclassification Randomized response Multivariate and univariate logistic regression Regulatory non-compliance Data analysis Conditional distribution Generalized linear model Response model Multivariate regression Probability distribution Conditional probability Logistic model Multivariate analysis Algorithm Unemployment Linear model Logistic distribution Statistical regression Logistic regression Statistical computation Regression model Experimental design Software |
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| References | Lensvelt-Mulders, Van der Heijden, Laudy (bib14) 2006; 169 Boruch (bib5) 1971; 6 Maddala (bib15) 1983 Aitkin, Francis, Hinde (bib2) 2005 Warner (bib21) 1965; 60 Lensvelt-Mulders, Hox, Van der Heijden, Maas (bib13) 2005; 33 Kuk (bib12) 1990; 77 Agresti (bib1) 2002 R Development Core Team, 2005. R: A Language and Environment for Statistical Computing. R Foundation for Statistical Computing, Vienna, Austria. ISBN 3-900051-07-0, URL . Van der Heijden, Van Gils (bib19) 1996 Glonek, McCullagh (bib10) 1995; 57 Magder, Hughes (bib16) 1997; 146 Van den Hout, Van der Heijden (bib20) 2004; 32 Chaudhuri, Mukerjee (bib6) 1988 Böckenholt, U., van der Heijden, P.G.M. Item randomized-response models for measuring noncompliance: risk-return perceptions, social influences, and self-protective responses. Psychometrika, in press. Bergsma, Rudas (bib3) 2002; 30 Fahrmeir, Tutz (bib8) 2001 Francis, Green, Payne (bib9) 1993 Scheers, Dayton (bib18) 1988; 83 Chen (bib7) 1989; 8 Greenberg, Abul-Ela, Simmons, Horvitz (bib11) 1969; 64 Bergsma (10.1016/j.csda.2006.12.002_bib3) 2002; 30 Kuk (10.1016/j.csda.2006.12.002_bib12) 1990; 77 Maddala (10.1016/j.csda.2006.12.002_bib15) 1983 Van den Hout (10.1016/j.csda.2006.12.002_bib20) 2004; 32 Chen (10.1016/j.csda.2006.12.002_bib7) 1989; 8 Francis (10.1016/j.csda.2006.12.002_bib9) 1993 Glonek (10.1016/j.csda.2006.12.002_bib10) 1995; 57 Warner (10.1016/j.csda.2006.12.002_bib21) 1965; 60 Scheers (10.1016/j.csda.2006.12.002_bib18) 1988; 83 Fahrmeir (10.1016/j.csda.2006.12.002_bib8) 2001 Agresti (10.1016/j.csda.2006.12.002_bib1) 2002 10.1016/j.csda.2006.12.002_bib4 Boruch (10.1016/j.csda.2006.12.002_bib5) 1971; 6 Lensvelt-Mulders (10.1016/j.csda.2006.12.002_bib13) 2005; 33 Magder (10.1016/j.csda.2006.12.002_bib16) 1997; 146 Greenberg (10.1016/j.csda.2006.12.002_bib11) 1969; 64 Chaudhuri (10.1016/j.csda.2006.12.002_bib6) 1988 Van der Heijden (10.1016/j.csda.2006.12.002_bib19) 1996 Lensvelt-Mulders (10.1016/j.csda.2006.12.002_bib14) 2006; 169 10.1016/j.csda.2006.12.002_bib17 Aitkin (10.1016/j.csda.2006.12.002_bib2) 2005 |
| References_xml | – reference: R Development Core Team, 2005. R: A Language and Environment for Statistical Computing. R Foundation for Statistical Computing, Vienna, Austria. ISBN 3-900051-07-0, URL – year: 1996 ident: bib19 article-title: Some logistic regression models for randomized response data publication-title: Proceedings of the 11th International Workshop on Statistical Modelling – volume: 77 start-page: 436 year: 1990 end-page: 438 ident: bib12 article-title: Asking sensitive questions indirectly publication-title: Biometrika – volume: 8 start-page: 1095 year: 1989 end-page: 1106 ident: bib7 article-title: A review of methods for misclassified categorical data in epidemiology publication-title: Statist. Med. – volume: 6 start-page: 308 year: 1971 end-page: 311 ident: bib5 article-title: Assuring confidentiality of responses in social research: a note on strategies publication-title: Amer. Sociologist – volume: 32 start-page: 310 year: 2004 end-page: 336 ident: bib20 article-title: The analysis of multivariate misclassified data with special attention to randomized response data publication-title: Soc. Methods Res. – volume: 83 start-page: 969 year: 1988 end-page: 974 ident: bib18 article-title: Covariate randomized response models publication-title: J. Amer. Statist. Assoc. – volume: 60 start-page: 63 year: 1965 end-page: 69 ident: bib21 article-title: Randomized response: a survey technique for eliminating answer bias publication-title: J. Amer. Statist. Assoc. – volume: 57 start-page: 533 year: 1995 end-page: 546 ident: bib10 article-title: Multivariate logistic models publication-title: J. Roy. Statist. Soc. B – reference: Böckenholt, U., van der Heijden, P.G.M. Item randomized-response models for measuring noncompliance: risk-return perceptions, social influences, and self-protective responses. Psychometrika, in press. – year: 1993 ident: bib9 article-title: The GLIM System, The Release Manual – year: 2001 ident: bib8 article-title: Multivariate Statistical Modelling Based on Generalized Linear Models – volume: 64 start-page: 520 year: 1969 end-page: 539 ident: bib11 article-title: The unrelated question randomized response model: theoretical framework publication-title: J. Amer. Statist. Assoc. – volume: 146 start-page: 195 year: 1997 end-page: 203 ident: bib16 article-title: Logistic regression when the outcome is measured with uncertainty publication-title: J. Amer. Statist. Assoc. – year: 2002 ident: bib1 article-title: Categorical Data Analysis – year: 2005 ident: bib2 article-title: Statistical Modelling in GLIM4 – volume: 169 start-page: 305 year: 2006 end-page: 318 ident: bib14 article-title: A validation of a computer-assisted randomized response survey to estimate the prevalence of fraud in social security publication-title: J. Roy. Statist. Soc. A – year: 1988 ident: bib6 article-title: Randomized Response: Theory and Techniques – volume: 33 start-page: 319 year: 2005 end-page: 348 ident: bib13 article-title: Meta-analysis of randomized response research: thirty-five years of validation publication-title: Soc. Methods Res. – volume: 30 start-page: 140 year: 2002 end-page: 159 ident: bib3 article-title: Marginal models for categorical data publication-title: Ann. Statist. – reference: . – year: 1983 ident: bib15 article-title: Limited Dependent and Qualitative Variables in Econometrics – volume: 30 start-page: 140 year: 2002 ident: 10.1016/j.csda.2006.12.002_bib3 article-title: Marginal models for categorical data publication-title: Ann. Statist. doi: 10.1214/aos/1015362188 – volume: 60 start-page: 63 year: 1965 ident: 10.1016/j.csda.2006.12.002_bib21 article-title: Randomized response: a survey technique for eliminating answer bias publication-title: J. Amer. Statist. Assoc. doi: 10.2307/2283137 – year: 2001 ident: 10.1016/j.csda.2006.12.002_bib8 – year: 1983 ident: 10.1016/j.csda.2006.12.002_bib15 – year: 1988 ident: 10.1016/j.csda.2006.12.002_bib6 – volume: 57 start-page: 533 year: 1995 ident: 10.1016/j.csda.2006.12.002_bib10 article-title: Multivariate logistic models publication-title: J. Roy. Statist. Soc. B doi: 10.1111/j.2517-6161.1995.tb02046.x – volume: 77 start-page: 436 year: 1990 ident: 10.1016/j.csda.2006.12.002_bib12 article-title: Asking sensitive questions indirectly publication-title: Biometrika doi: 10.1093/biomet/77.2.436 – volume: 83 start-page: 969 year: 1988 ident: 10.1016/j.csda.2006.12.002_bib18 article-title: Covariate randomized response models publication-title: J. Amer. Statist. Assoc. doi: 10.2307/2290121 – volume: 33 start-page: 319 year: 2005 ident: 10.1016/j.csda.2006.12.002_bib13 article-title: Meta-analysis of randomized response research: thirty-five years of validation publication-title: Soc. Methods Res. doi: 10.1177/0049124104268664 – year: 1993 ident: 10.1016/j.csda.2006.12.002_bib9 – ident: 10.1016/j.csda.2006.12.002_bib4 – ident: 10.1016/j.csda.2006.12.002_bib17 – volume: 169 start-page: 305 year: 2006 ident: 10.1016/j.csda.2006.12.002_bib14 article-title: A validation of a computer-assisted randomized response survey to estimate the prevalence of fraud in social security publication-title: J. Roy. Statist. Soc. A doi: 10.1111/j.1467-985X.2006.00404.x – volume: 6 start-page: 308 year: 1971 ident: 10.1016/j.csda.2006.12.002_bib5 article-title: Assuring confidentiality of responses in social research: a note on strategies publication-title: Amer. Sociologist – volume: 146 start-page: 195 year: 1997 ident: 10.1016/j.csda.2006.12.002_bib16 article-title: Logistic regression when the outcome is measured with uncertainty publication-title: J. Amer. Statist. Assoc. – volume: 64 start-page: 520 year: 1969 ident: 10.1016/j.csda.2006.12.002_bib11 article-title: The unrelated question randomized response model: theoretical framework publication-title: J. Amer. Statist. Assoc. doi: 10.2307/2283636 – year: 2005 ident: 10.1016/j.csda.2006.12.002_bib2 – year: 2002 ident: 10.1016/j.csda.2006.12.002_bib1 – volume: 32 start-page: 310 year: 2004 ident: 10.1016/j.csda.2006.12.002_bib20 article-title: The analysis of multivariate misclassified data with special attention to randomized response data publication-title: Soc. Methods Res. doi: 10.1177/0049124103257440 – volume: 8 start-page: 1095 year: 1989 ident: 10.1016/j.csda.2006.12.002_bib7 article-title: A review of methods for misclassified categorical data in epidemiology publication-title: Statist. Med. doi: 10.1002/sim.4780080908 – year: 1996 ident: 10.1016/j.csda.2006.12.002_bib19 article-title: Some logistic regression models for randomized response data |
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| SubjectTerms | Exact sciences and technology General topics Linear inference, regression Mathematics Misclassification Multivariate analysis Multivariate and univariate logistic regression Numerical analysis Numerical analysis. Scientific computation Numerical methods in probability and statistics Probability and statistics Randomized response Regulatory non-compliance Sciences and techniques of general use Sensitive questions Statistics |
| Title | The logistic regression model with response variables subject to randomized response |
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