2007
DOI: 10.1177/0146621605287691
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A Beta Item Response Model for Continuous Bounded Responses

Abstract: An item response model is proposed for the analysis of continuous response formats in an item response theory (IRT) framework. With such formats, respondents are asked to report their response as a mark on a fixed-length graphical segment whose ends are labeled with extreme responses. An interpolation process is proposed as the response mechanism in this situation, from which the authors show that a beta distribution on the response naturally follows. The two natural parameters of the beta are expressed as mon… Show more

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Cited by 49 publications
(76 citation statements)
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“…Now is the time to develop an online survey app that uses smartphones to collect patient feedback. The reason is attributable not only to studies [36][37][38] which report that Internet-based online ratings correlate well with the national traditional national surveys and have similar response rates but also to hospitals' need for patient feedback. The results should prove useful when patients choose healthcare providers and when clinicians want to improve the quality of their services.…”
Section: Discussionmentioning
confidence: 99%
“…Now is the time to develop an online survey app that uses smartphones to collect patient feedback. The reason is attributable not only to studies [36][37][38] which report that Internet-based online ratings correlate well with the national traditional national surveys and have similar response rates but also to hospitals' need for patient feedback. The results should prove useful when patients choose healthcare providers and when clinicians want to improve the quality of their services.…”
Section: Discussionmentioning
confidence: 99%
“…In addition, a great deal of work has been devoted to the probabilistic modelling of Likert‐type responses in the past 50 years (Noel & Dauvier, ). However, there are so many patient's clinical data that are not limited to the categorically ordered data.…”
Section: Discussionmentioning
confidence: 99%
“…For instance, Zou, Carlsson and Quinn () apply beta regression to Likert scale data, and Moberg, Alderling and Meding () apply beta regression to a quality of life index. Likewise, Noël and Dauvier () provide item‐response models for doubly bounded continuous scale items using the beta distribution. Verkuilen and Smithson () extended beta regression to mixed (multi‐level) models for dealing with dependencies in the data.…”
Section: Introductionmentioning
confidence: 99%