Adapting the Robust Effect Size Cliff's Delta to Compare Behaviour Profiles

Cliff’s Delta is a non-parametric effect size that is based on data observations. In this paper, we introduce an adaptation of Cliff’s Delta in order to compare behaviour profiles. Behaviour profiles are density distributions in which survey answer behaviour is summarized for specific groups of res...

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Main Authors: Frank Bais, Joost van der Neut
Format: Article
Language:English
Published: European Survey Research Association 2022-12-01
Series:Survey Research Methods
Subjects:
Online Access:https://ojs.ub.uni-konstanz.de/srm/article/view/7908
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author Frank Bais
Joost van der Neut
author_facet Frank Bais
Joost van der Neut
author_sort Frank Bais
collection DOAJ
description Cliff’s Delta is a non-parametric effect size that is based on data observations. In this paper, we introduce an adaptation of Cliff’s Delta in order to compare behaviour profiles. Behaviour profiles are density distributions in which survey answer behaviour is summarized for specific groups of respondents or items. Such profiles are useful, as they take into account the varying number of survey items that is filled out per respondent due to filter questions. By the adapted Cliff’s Delta, two subgroups of respondents (for instance higher and lower educated respondents) can be compared on the occurrence of specific answer behaviour (for instance giving ‘don’t know’-answers). By means of simulations, we show that the adapted profile-based Cliff’s Delta converges towards the original observation-based Cliff’s Delta as the number of items that is filled out by respondents increases. We conclude that the profile-based Cliff’s Delta is a solid and conservative statistic that is both useful and advantageous to compare behaviour profiles. We close with various data examples to illustrate its broad usefulness and by discussing potential difficulty in using the profile-based Cliff’s Delta.
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spelling doaj.art-f84084ac63b74a75a16508a17cd209ba2023-10-13T07:35:21ZengEuropean Survey Research AssociationSurvey Research Methods1864-33612022-12-0116310.18148/srm/2022.v16i2.7908Adapting the Robust Effect Size Cliff's Delta to Compare Behaviour ProfilesFrank Bais0Joost van der Neut1Cito Institute for Educational MeasurementDelft University of Technology Cliff’s Delta is a non-parametric effect size that is based on data observations. In this paper, we introduce an adaptation of Cliff’s Delta in order to compare behaviour profiles. Behaviour profiles are density distributions in which survey answer behaviour is summarized for specific groups of respondents or items. Such profiles are useful, as they take into account the varying number of survey items that is filled out per respondent due to filter questions. By the adapted Cliff’s Delta, two subgroups of respondents (for instance higher and lower educated respondents) can be compared on the occurrence of specific answer behaviour (for instance giving ‘don’t know’-answers). By means of simulations, we show that the adapted profile-based Cliff’s Delta converges towards the original observation-based Cliff’s Delta as the number of items that is filled out by respondents increases. We conclude that the profile-based Cliff’s Delta is a solid and conservative statistic that is both useful and advantageous to compare behaviour profiles. We close with various data examples to illustrate its broad usefulness and by discussing potential difficulty in using the profile-based Cliff’s Delta. https://ojs.ub.uni-konstanz.de/srm/article/view/7908Cliff's Deltabehaviour profilesundesirable answer behaviourmeasurement errorrespondent characteristicsitem characteristics
spellingShingle Frank Bais
Joost van der Neut
Adapting the Robust Effect Size Cliff's Delta to Compare Behaviour Profiles
Survey Research Methods
Cliff's Delta
behaviour profiles
undesirable answer behaviour
measurement error
respondent characteristics
item characteristics
title Adapting the Robust Effect Size Cliff's Delta to Compare Behaviour Profiles
title_full Adapting the Robust Effect Size Cliff's Delta to Compare Behaviour Profiles
title_fullStr Adapting the Robust Effect Size Cliff's Delta to Compare Behaviour Profiles
title_full_unstemmed Adapting the Robust Effect Size Cliff's Delta to Compare Behaviour Profiles
title_short Adapting the Robust Effect Size Cliff's Delta to Compare Behaviour Profiles
title_sort adapting the robust effect size cliff s delta to compare behaviour profiles
topic Cliff's Delta
behaviour profiles
undesirable answer behaviour
measurement error
respondent characteristics
item characteristics
url https://ojs.ub.uni-konstanz.de/srm/article/view/7908
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