The University of Southampton
University of Southampton Institutional Repository

Accounting for self-protective responses in randomized response data from a social security survey using the zero-inflated Poisson model

Accounting for self-protective responses in randomized response data from a social security survey using the zero-inflated Poisson model
Accounting for self-protective responses in randomized response data from a social security survey using the zero-inflated Poisson model
In 2004 the Dutch Department of Social Affairs conducted a survey to assess the extent of noncompliance with social security regulations. The survey was conducted among 870 recipients of social security benefits and included a series of sensitive questions about regulatory noncompliance. Due to the sensitive nature of the questions the randomized response design was used. Although randomized response protects the privacy of the respondent, it is unlikely that all respondents followed the design. In this paper we introduce a model that allows for respondents displaying self-protective response behavior by consistently giving the nonincriminating response, irrespective of the outcome of the randomizing device. The dependent variable denoting the total number of incriminating responses is assumed to be generated by the application of randomized response to a latent Poisson variable denoting the true number of rule violations. Since self-protective responses result in an excess of observed zeros in relation to the Poisson randomized response distribution, these are modeled as observed zero-inflation. The model includes predictors of the Poisson parameters, as well as predictors of the probability of self-protective response behavior.
randomized response, poisson regression, zero-inflation, self-protective responses, regulatory noncompliance
1932-6157
316-331
Cruyff, Maarten J. L. F.
98cda6ff-1ec3-4dc3-9d6e-eb0c7c538e70
Böckenholt, Ulf
580c976b-4040-4cb2-877c-35e042a224df
van den Hout, Ardo
8df0fd5b-6578-4a1f-ba11-790b56e8af55
van der Heijden, Peter G.M.
85157917-3b33-4683-81be-713f987fd612
Cruyff, Maarten J. L. F.
98cda6ff-1ec3-4dc3-9d6e-eb0c7c538e70
Böckenholt, Ulf
580c976b-4040-4cb2-877c-35e042a224df
van den Hout, Ardo
8df0fd5b-6578-4a1f-ba11-790b56e8af55
van der Heijden, Peter G.M.
85157917-3b33-4683-81be-713f987fd612

Cruyff, Maarten J. L. F., Böckenholt, Ulf, van den Hout, Ardo and van der Heijden, Peter G.M. (2008) Accounting for self-protective responses in randomized response data from a social security survey using the zero-inflated Poisson model. The Annals of Applied Statistics, 2 (1), 316-331. (doi:10.1214/07-AOAS135).

Record type: Article

Abstract

In 2004 the Dutch Department of Social Affairs conducted a survey to assess the extent of noncompliance with social security regulations. The survey was conducted among 870 recipients of social security benefits and included a series of sensitive questions about regulatory noncompliance. Due to the sensitive nature of the questions the randomized response design was used. Although randomized response protects the privacy of the respondent, it is unlikely that all respondents followed the design. In this paper we introduce a model that allows for respondents displaying self-protective response behavior by consistently giving the nonincriminating response, irrespective of the outcome of the randomizing device. The dependent variable denoting the total number of incriminating responses is assumed to be generated by the application of randomized response to a latent Poisson variable denoting the true number of rule violations. Since self-protective responses result in an excess of observed zeros in relation to the Poisson randomized response distribution, these are modeled as observed zero-inflation. The model includes predictors of the Poisson parameters, as well as predictors of the probability of self-protective response behavior.

This record has no associated files available for download.

More information

Published date: 2008
Keywords: randomized response, poisson regression, zero-inflation, self-protective responses, regulatory noncompliance
Organisations: Statistical Sciences Research Institute

Identifiers

Local EPrints ID: 344678
URI: http://eprints.soton.ac.uk/id/eprint/344678
ISSN: 1932-6157
PURE UUID: 5c1ba654-c281-4f81-9b5d-3c4067a0106c
ORCID for Peter G.M. van der Heijden: ORCID iD orcid.org/0000-0002-3345-096X

Catalogue record

Date deposited: 26 Oct 2012 14:02
Last modified: 15 Mar 2024 03:46

Export record

Altmetrics

Contributors

Author: Maarten J. L. F. Cruyff
Author: Ulf Böckenholt
Author: Ardo van den Hout

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×