Nonparametric polytomous IRT models for invariant item ordering, with results for parametric models

Sijtsma, Klaas; Hemker, Bas T.

doi:10.1007/bf02294774

Cited by 55 publications

(88 citation statements)

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“…items display the same order of intensity irrespective of the scores on the latent dimension), the scale fits a more restrictive MSA model (i.e. the double monotonicity model); this means that all respondents perceive the item intensities similarly, and thus their latent scores can be compared across subgroups or datasets (Schuur, 2003;Sijtsma & Hemker, 1998).…”

Section: Data Analysesmentioning

confidence: 99%

Advancing methodology in the study of HIV status disclosure: The importance of considering disclosure target and intent

Dima

Stutterheim

Lyimo

et al. 2014

Social Science & Medicine

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Advancing methodology in the study of HIV status disclosure: The importance of considering disclosure target and intent Dima, A.L.; Stutterheim, S.E.; Lyimo, R.; de Bruin, M. General rightsIt is not permitted to download or to forward/distribute the text or part of it without the consent of the author(s) and/or copyright holder(s), other than for strictly personal, individual use, unless the work is under an open content license (like Creative Commons). Disclaimer/Complaints regulationsIf you believe that digital publication of certain material infringes any of your rights or (privacy) interests, please let the Library know, stating your reasons. In case of a legitimate complaint, the Library will make the material inaccessible and/or remove it from the website. Please Ask the Library: http://uba.uva.nl/en/contact, or a letter to: Library of the University of Amsterdam, Secretariat, Singel 425, 1012 WP Amsterdam, The Netherlands. You will be contacted as soon as possible. Acknowledgements:The authors appreciatively acknowledge the financial assistance from RVVZ from the Netherlands, the participation of PLWH in our target group, and the cooperation of the management in the ART clinics where we conducted the study. Abstract:Disclosure of HIV status has been the focus of three decades of research, which have revealed its complex relations to many behaviors involved in HIV prevention and treatment, and exposed its central role in managing the HIV epidemic. The causes and consequences of disclosure acts have recently been the subject of several theoretical models. Although it is acknowledged that individual disclosure events are part of a broader process of disclosing one's HIV status to an increasing number of people, this process has received less theoretical attention. In quantitative studies of disclosure, researchers have often implicitly assumed that disclosure is a single unidimensional process appropriately measured via the total number of one's disclosure acts. However, there is also evidence that disclosure may have different causes and consequences depending on the types of actors involved (e.g. family members, friends) and on the presence or absence of the discloser's intention, suggesting that the unidimensionality assumption may not hold. We quantitatively examined the dimensionality of voluntary and involuntary disclosure to different categories of actors, using data collected via structured interviews in the spring of 2010 from 158 people living with HIV in Kilimanjaro, Tanzania. For voluntary disclosure, nonparametric item response analyses identified two multi-category clusters, family and community, and two single-category dimensions, partner and children. Involuntary disclosure consisted of several single-or twocategory dimensions. Correlation analyses between the resulting disclosure dimensions and stigma and social support revealed distinct relationships for each disclosure dimension. Our results suggest that treating disclosure as a unidimensional construct is a simplification of disclosure...

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Section: Data Analysesmentioning

confidence: 99%

Advancing methodology in the study of HIV status disclosure: The importance of considering disclosure target and intent

Dima

Stutterheim

Lyimo

et al. 2014

Social Science & Medicine

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“…This present study discusses polytomous-item models that have IIO and proposes methods for investigating whether these models are consistent with data. Sijtsma and Hemker (1998) proved that well-known parametric polytomous IRT models such as the partial credit model (Masters, 1982), the generalized partial credit model (Muraki, 1990), and the graded response model (Samejima, 1969) do not have IIO. This result means that these well-known models cannot be used to investigate whether a set of items has IIO.…”

Section: Invariant Item Ordering In Test Applicationsmentioning

confidence: 99%

“…Sijtsma and Hemker (1998) proved that Equation (2) does not imply IIO; hence, they proved that the graded response model does not imply IIO and that it is not effective in IIO research. Sijtsma and Hemker (1998) proved that the rating scale model (Andrich, 1978), which is a special case of the partial credit model, has IIO. Hence, a fitting rating scale model implies 203 IIO for the item set at hand and could be used in practical IIO research.…”

Section: Polytomous Irt Models and Iio Researchmentioning

confidence: 99%

“…Hence, a fitting rating scale model implies 203 IIO for the item set at hand and could be used in practical IIO research. In addition, Sijtsma and Hemker (1998) defined a restricted version of Muraki's (1990) rating scale version of the graded response model, such that it had IIO and could be used in IIO research. Each of these models is known to be highly restrictive.…”

Section: Polytomous Irt Models and Iio Researchmentioning

confidence: 99%

“…Generally, the ordering of all the items by their mean scores is assumed to be the same for each person to whom the instrument is administered. This is the assumption of invariant item ordering (IIO; Sijtsma & Junker, 1996;Sijtsma & Hemker, 1998). IIO is important, for example, in child intelligence tests when items are administered in the order from easy to difficult, and in personality and attitude measurement when researchers prefer scales that are cumulative or hierarchical.…”

Section: Introductionmentioning

confidence: 99%

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Polytomous Latent Scales for the Investigation of the Ordering of Items

et al. 2011

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Polytomous latent scales for the investigation of the ordering of itemsLigtvoet, R.; van der Ark, L.A.; Bergsma, W.P.; Sijtsma, K. Published in: Psychometrika Document version:Publisher's PDF, also known as Version of record DOI:10.1007/s11336-010-9199-8 General rightsCopyright and moral rights for the publications made accessible in the public portal are retained by the authors and/or other copyright owners and it is a condition of accessing publications that users recognise and abide by the legal requirements associated with these rights.-Users may download and print one copy of any publication from the public portal for the purpose of private study or research -You may not further distribute the material or use it for any profit-making activity or commercial gain -You may freely distribute the URL identifying the publication in the public portal Take down policyIf you believe that this document breaches copyright, please contact us providing details, and we will remove access to the work immediately and investigate your claim. We propose three latent scales within the framework of nonparametric item response theory for polytomously scored items. Latent scales are models that imply an invariant item ordering, meaning that the order of the items is the same for each measurement value on the latent scale. This ordering property may be important in, for example, intelligence testing and person-fit analysis. We derive observable properties of the three latent scales that can each be used to investigate in real data whether the particular model adequately describes the data. We also propose a methodology for analyzing test data in an effort to find support for a latent scale, and we use two real-data examples to illustrate the practical use of this methodology.

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Nonparametric Item Response Theory Models

Sijtsma

2005

Encyclopedia of Statistics in Behavioral Science

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and it is a condition of accessing publications that users recognise and abide by the legal requirements associated with these rights.-Users may download and print one copy of any publication from the public portal for the purpose of private study or research-You may not further distribute the material or use it for any profit-making activity or commercial gain-You may freely distribute the URL identifying the publication in the public portal Take down policy If you believe that this document breaches copyright, please contact us providing details, and we will remove access to the work immediately and investigate your claim.

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Nonparametric polytomous IRT models for invariant item ordering, with results for parametric models

Abstract: invariant item ordering, item response theory, nonparametric polytomous IRT models, parametric polytomous IRT models,

Cited by 55 publications

References 20 publications

Advancing methodology in the study of HIV status disclosure: The importance of considering disclosure target and intent

Advancing methodology in the study of HIV status disclosure: The importance of considering disclosure target and intent

Polytomous Latent Scales for the Investigation of the Ordering of Items

Nonparametric Item Response Theory Models

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