Refinement of the extended crosswise model with a number sequence randomizer: Evidence from three different studies in the UK.

The Extended Crosswise Model (ECWM) is a randomized response model with neutral response categories, relatively simple instructions, and the availability of a goodness-of-fit test. This paper refines this model with a number sequence randomizer that virtually precludes the possibility to give evasiv...

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Main Authors: Khadiga H A Sayed, Maarten J L F Cruyff, Peter G M van der Heijden, Andrea Petróczi
Format: Article
Language:English
Published: Public Library of Science (PLoS) 2022-01-01
Series:PLoS ONE
Online Access:https://doi.org/10.1371/journal.pone.0279741
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author Khadiga H A Sayed
Maarten J L F Cruyff
Peter G M van der Heijden
Andrea Petróczi
author_facet Khadiga H A Sayed
Maarten J L F Cruyff
Peter G M van der Heijden
Andrea Petróczi
author_sort Khadiga H A Sayed
collection DOAJ
description The Extended Crosswise Model (ECWM) is a randomized response model with neutral response categories, relatively simple instructions, and the availability of a goodness-of-fit test. This paper refines this model with a number sequence randomizer that virtually precludes the possibility to give evasive responses. The motivation for developing this model stems from a strategic priority of WADA (World Anti-Doping Agency) to monitor the prevalence of doping use by elite athletes. For this model we derived a maximum likelihood estimator that allows for binary logistic regression analysis. Three studies were conducted on online platforms with a total of over 6, 000 respondents; two on controlled substance use and one on compliance with COVID-19 regulations in the UK during the first lockdown. The results of these studies are promising. The goodness-of-fit tests showed little to no evidence for response biases, and the ECWM yielded higher prevalence estimates than direct questions for sensitive questions, and similar ones for non-sensitive questions. Furthermore, the randomizer with the shortest number sequences yielded the smallest response error rates on a control question with known prevalence.
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spelling doaj.art-aaa3f84fa25845789d91d35d5640d3b22023-01-25T05:32:39ZengPublic Library of Science (PLoS)PLoS ONE1932-62032022-01-011712e027974110.1371/journal.pone.0279741Refinement of the extended crosswise model with a number sequence randomizer: Evidence from three different studies in the UK.Khadiga H A SayedMaarten J L F CruyffPeter G M van der HeijdenAndrea PetrócziThe Extended Crosswise Model (ECWM) is a randomized response model with neutral response categories, relatively simple instructions, and the availability of a goodness-of-fit test. This paper refines this model with a number sequence randomizer that virtually precludes the possibility to give evasive responses. The motivation for developing this model stems from a strategic priority of WADA (World Anti-Doping Agency) to monitor the prevalence of doping use by elite athletes. For this model we derived a maximum likelihood estimator that allows for binary logistic regression analysis. Three studies were conducted on online platforms with a total of over 6, 000 respondents; two on controlled substance use and one on compliance with COVID-19 regulations in the UK during the first lockdown. The results of these studies are promising. The goodness-of-fit tests showed little to no evidence for response biases, and the ECWM yielded higher prevalence estimates than direct questions for sensitive questions, and similar ones for non-sensitive questions. Furthermore, the randomizer with the shortest number sequences yielded the smallest response error rates on a control question with known prevalence.https://doi.org/10.1371/journal.pone.0279741
spellingShingle Khadiga H A Sayed
Maarten J L F Cruyff
Peter G M van der Heijden
Andrea Petróczi
Refinement of the extended crosswise model with a number sequence randomizer: Evidence from three different studies in the UK.
PLoS ONE
title Refinement of the extended crosswise model with a number sequence randomizer: Evidence from three different studies in the UK.
title_full Refinement of the extended crosswise model with a number sequence randomizer: Evidence from three different studies in the UK.
title_fullStr Refinement of the extended crosswise model with a number sequence randomizer: Evidence from three different studies in the UK.
title_full_unstemmed Refinement of the extended crosswise model with a number sequence randomizer: Evidence from three different studies in the UK.
title_short Refinement of the extended crosswise model with a number sequence randomizer: Evidence from three different studies in the UK.
title_sort refinement of the extended crosswise model with a number sequence randomizer evidence from three different studies in the uk
url https://doi.org/10.1371/journal.pone.0279741
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