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How to select the bandwidth in kernel equating: an evaluation of five different methods
Umeå University, Faculty of Social Sciences, Umeå School of Business and Economics (USBE), Statistics.
Umeå University, Faculty of Social Sciences, Umeå School of Business and Economics (USBE), Statistics.ORCID iD: 0000-0002-9086-7403
Umeå University, Faculty of Social Sciences, Umeå School of Business and Economics (USBE), Statistics.ORCID iD: 0000-0001-5549-8262
2018 (English)In: Quantitative psychology: the 82nd annual meeting of the Psychometric Society, Zurich, Switzerland, 2017 / [ed] Marie Wiberg, Steven Culpepper, Rianne Janssen, Jorge González, Dylan Molenaar, Cham, Switzerland: Springer, 2018, p. 91-100Chapter in book (Refereed)
Abstract [en]

When using kernel equating to equate two test forms, a bandwidth needs to be selected. The bandwidth parameter determines the smoothness of the continuized score distributions and has been shown to have a large effect on the kernel density estimate. There are a number of suggested criteria for selecting the bandwidth, and currently four of them have been implemented in kernel equating. In this paper, all four of the existing bandwidth selectors suggested for kernel equating are evaluated and compared against each other using real test data together with a new criterion that implements leave-one-out cross-validation. Although the bandwidth methods generally were similar in terms of equated scores, there were potentially important differences in the upper part of the score scale where critical admission decisions are typically made.

Place, publisher, year, edition, pages
Cham, Switzerland: Springer, 2018. p. 91-100
Series
Springer Proceedings in Mathematics & Statistics, ISSN 2194-1009, E-ISSN 2194-1017 ; 233
Keywords [en]
Kernel equating, Continuization, Bandwidth selection, Cross-validation
National Category
Probability Theory and Statistics
Research subject
Statistics
Identifiers
URN: urn:nbn:se:umu:diva-147091DOI: 10.1007/978-3-319-77249-3_8ISBN: 978-3-319-77248-6 (print)ISBN: 978-3-319-77249-3 (electronic)OAI: oai:DiVA.org:umu-147091DiVA, id: diva2:1201764
Available from: 2018-04-26 Created: 2018-04-26 Last updated: 2018-12-14Bibliographically approved

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Wallin, GabrielHäggström, JennyWiberg, Marie

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CiteExportLink to record
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