The University of Southampton
University of Southampton Institutional Repository

The analysis of randomized response sum score variables

The analysis of randomized response sum score variables
The analysis of randomized response sum score variables
Randomized response (RR) is an interview technique that ensures confidentiality when questions are sensitive. In RR the answer to a sensitive question depends to a certain extent on a probability mechanism. As a result the observed data are partially misclassified, and the true status of the respondent is obscured. RR data are commonly analysed in a univariate way, with models that relate the observed responses to the prevalence of the sensitive characteristic, and with the more recent logistic regression models that relate the sensitive characteristic to a set of covariates. In an RR design with multiple sensitive questions, interest is usually not confined to the univariate prevalence and regression parameter estimates. Additional multivariate information may be obtained from an RR sum score variable, assessing the sum of sensitive characteristics that are associated with the respondent. However, the construction of an RR sum score variable is by no means straightforward, which might explain why sum scores have not yet been used within the context of RR. We present two models for RR sum score variables: the RR sum score model that relates the observed sum scores to the true sum scores and the RR proportional odds model that relates the true sum scores to covariates. The models are applied to RR data from a Dutch survey on non-compliance with social security regulations.
proportional odds model, randomized response, regulatory non-compliance, sum score variable
1369-7412
21-30
Cruyff, Maarten J.L.F.
7efbafcd-7831-48b4-bbea-9d95709b1235
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.
7efbafcd-7831-48b4-bbea-9d95709b1235
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., Van den Hout, Ardo and Van der Heijden, Peter G.M. (2008) The analysis of randomized response sum score variables. Journal of the Royal Statistical Society: Series B (Statistical Methodology), 70 (1), 21-30. (doi:10.1111/j.1467-9868.2007.00624.x).

Record type: Article

Abstract

Randomized response (RR) is an interview technique that ensures confidentiality when questions are sensitive. In RR the answer to a sensitive question depends to a certain extent on a probability mechanism. As a result the observed data are partially misclassified, and the true status of the respondent is obscured. RR data are commonly analysed in a univariate way, with models that relate the observed responses to the prevalence of the sensitive characteristic, and with the more recent logistic regression models that relate the sensitive characteristic to a set of covariates. In an RR design with multiple sensitive questions, interest is usually not confined to the univariate prevalence and regression parameter estimates. Additional multivariate information may be obtained from an RR sum score variable, assessing the sum of sensitive characteristics that are associated with the respondent. However, the construction of an RR sum score variable is by no means straightforward, which might explain why sum scores have not yet been used within the context of RR. We present two models for RR sum score variables: the RR sum score model that relates the observed sum scores to the true sum scores and the RR proportional odds model that relates the true sum scores to covariates. The models are applied to RR data from a Dutch survey on non-compliance with social security regulations.

This record has no associated files available for download.

More information

e-pub ahead of print date: 2 November 2007
Published date: February 2008
Keywords: proportional odds model, randomized response, regulatory non-compliance, sum score variable
Organisations: Statistical Sciences Research Institute

Identifiers

Local EPrints ID: 344677
URI: http://eprints.soton.ac.uk/id/eprint/344677
ISSN: 1369-7412
PURE UUID: 9c3284b1-c079-41f6-9e69-2b82db84df75
ORCID for Peter G.M. Van der Heijden: ORCID iD orcid.org/0000-0002-3345-096X

Catalogue record

Date deposited: 26 Oct 2012 13:57
Last modified: 15 Mar 2024 03:46

Export record

Altmetrics

Contributors

Author: Maarten J.L.F. Cruyff
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.

×