Encyclopedia of Statistics in Behavioral Science 2005
DOI: 10.1002/0470013192.bsa317
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Item Response Theory (IRT) Models for Rating Scale Data

Abstract: The purpose of this entry is to provide a brief description of several IRT models that can be used to analyze rating scale data. Rating scale data are defined as responses scored in two or more ordered categories. Rating scale data represent the most common formats for collecting information from examinees or raters. The basic idea that motivates the use of IRT models for rating scale data is that the scoring of m  + 1 ordered categories with ordered integers (0, 1, …, m … Show more

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Cited by 4 publications
(4 citation statements)
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“…For our purposes, a Rasch model known as a polytomous one parameter RSM for unidimensional traits was considered most appropriate [ 61 ]. The RSM was developed to analyse ratings from a unidimensional item set with two or more ordered and fixed response categories [ 62 ], and was expanded for use in multidimensional models in IRT software, such as ACER ConQuest 3.0. Both unidimensional and multidimensional RSM were utilised to examine the underlying latent structure as unidimensional (i.e., three unidimensional subscales examined independently) and multidimensional (i.e., three subscales examined interdependently as a single multidimensional scale), providing information that may have been overlooked had only one method been utilised.…”
Section: Methodsmentioning
confidence: 99%
“…For our purposes, a Rasch model known as a polytomous one parameter RSM for unidimensional traits was considered most appropriate [ 61 ]. The RSM was developed to analyse ratings from a unidimensional item set with two or more ordered and fixed response categories [ 62 ], and was expanded for use in multidimensional models in IRT software, such as ACER ConQuest 3.0. Both unidimensional and multidimensional RSM were utilised to examine the underlying latent structure as unidimensional (i.e., three unidimensional subscales examined independently) and multidimensional (i.e., three subscales examined interdependently as a single multidimensional scale), providing information that may have been overlooked had only one method been utilised.…”
Section: Methodsmentioning
confidence: 99%
“…Fifth, the IRT item parameters, item discrimination ( a ) and item difficulty ( b ), were estimated for the graded response model, similar to a two‐parameter logistic (2PL) model for dichotomous data in so far as both discrimination and difficulty (severity) parameters are estimated for each item (Engelhard, ). Since there were four response categories (0 = none to 3 = all the time), there were three item difficulty parameters estimated corresponding to each threshold, specified as b 1 , b 2 , and b 3 .…”
Section: Methodsmentioning
confidence: 99%
“…The rating scale model (RSM) extension of the Rasch model (Rasch, 1980) provides a framework for analyzing ratings in two or more ordered categories (Engelhard, 2005; Wright & Masters, 1982). Within the framework we consider an A–F grading scale to be an ordinal scale comprising a fixed number of mutually exclusive response categories.…”
Section: Methodsmentioning
confidence: 99%