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Derivation of the Threshold Form of the Polytomous Rasch Model
2019Ordered categories are taken as analogous to physical measurement with a continuum partitioned by successive thresholds. However, unlike physical measurements, the thresholds which form the categories are not assumed to be equidistant. Thresholds are defined by minimum proficiencies required to succeed at the thresholds.
David Andrich, Ida Marais
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Sufficiency and Conditional Estimation of Person Parameters in the Polytomous Rasch Model
Psychometrika, 2010Rasch models are characterised by sufficient statistics for all parameters. In the Rasch unidimensional model for two ordered categories, the parameterisation of the person and item is symmetrical and it is readily established that the total scores of a person and item are sufficient statistics for their respective parameters.
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Using the dichotomous Rasch model to analyze polytomous items.
Journal of applied measurement, 2013One of the most important applications of the Rasch measurement models in educational assessment is the equating of tests. An important feature of attainment tests is the use of both dichotomous and polytomous items. The partial credit model (PCM) developed by Masters (1982) represents an extension of the dichotomous Rasch model for analysing ...
Qingping, He, Chris, Wheadon
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Fitting polytomous Rasch models in SAS.
Journal of applied measurement, 2007The item parameters of a polytomous Rasch model can be estimated using marginal and conditional approaches. This paper describes how this can be done in SAS (V8.2) for three item parameter estimation procedures: marginal maximum likelihood estimation, conditional maximum likelihood estimation, and pairwise conditional estimation.
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Two strategies for fitting real data to Rasch polytomous models.
Journal of applied measurement, 2002A comparative study of the results provided by two strategies for fitting data to Latent Trait Theory Models has been performed. The first, called Total-Persons-Items (TPI), is structured in three phases: 1) assessment of item fit, 2) assessment of person fit; and finally, 3) overall fit of data to the models (items and persons).
Antonio J, Rojas Tejada +3 more
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Violations of the Assumption of Independence II—The Polytomous Rasch Model
2019Items hypothesized to be dependent can be combined into higher order polytomous items and the data reanalysed using the PRM. If the reliability estimate from an analysis where items hypothesized to be dependent are combined into higher order polytomous items is lower than the reliability estimate from the original analysis, dependence is present.
David Andrich, Ida Marais
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Diagnosing a common rater halo effect using the polytomous Rasch model.
Journal of applied measurement, 2012The 'halo effect' may be unique to different raters or common to all raters. When common to all raters, halo is not detectable through standard fit indices of the three-facet Rasch model used to account for differences in rater severities. Using a formulation of halo as a violation of local independence, a halo effect common to all raters is simulated ...
Ida, Marais, David, Andrich
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Understanding the Response Structure and Process in the Polytomous Rasch Model
2015The Rasch model for ordered response categories in standard formats was derived from a sequence of theoretical propositions requiring invariance of comparisons among item and among person parameter estimates. A model with sufficient statistics is the consequence.
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Antibody–drug conjugates: Smart chemotherapy delivery across tumor histologies
Ca-A Cancer Journal for Clinicians, 2022Paolo Tarantino +2 more
exaly
A comparison between SEM and Rasch model: the polytomous case
2013The aim of the paper is to apply Rating Scale Model and Structural Equation Model to the same polytomous data in order to highlight the differences and similarities between the two models, developing a simulation study involving different situations. Moreover, we present a real case regarding the analysis of the quality of work.
GOLIA, Silvia, SIMONETTO, Anna
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