Results 161 to 170 of about 4,548 (199)
Some of the next articles are maybe not open access.
Tests of Fit for Polytomous Rasch Models
1995In this chapter, a number of the tests of model fit for the Rasch model for dichotomous items presented in Chapter 5 are generalized to a class of IRT models for polytomous items. Again, the problem of evaluating model fit is solved in the framework of the general multinomial model, and it is shown that the four types of tests considered in Chapter 5 —
Cees A. W. Glas, Norman D. Verhelst
openaire +1 more source
Fit of Responses to the Polytomous Rasch Model
2019One type of fit which examines the consistency of the data with the model begins with the difference between the observed and expected score at the person–item response level, given the parameter estimates. Then a fit statistic can be obtained at both the person (person fit-residual) and item (item fit-residual) level following a parallel sequence of ...
David Andrich, Ida Marais
openaire +1 more source
A Monte Carlo Approach to Unidimensionality Testing in Polytomous Rasch Models
Applied Psychological Measurement, 2007Many statistical tests are designed to test the different assumptions of the Rasch model, but only few are directed at detecting multidimensionality. The Martin-Löf test is an attractive approach, the disadvantage being that its null distribution deviates strongly from the asymptotic chi-square distribution for most realistic sample sizes.
Christensen, K.B., Kreiner, Svend
openaire +1 more source
Polytomous Rasch Models and their Estimation
1995In this chapter, the polytomous Rasch model is introduced, based on the original formulation by Georg Rasch in the 1960 Berkeley Symposium on Mathematical Statistics and Probability. The various versions of the basic model, suggested in the literature, are briefly mentioned and compared.
openaire +1 more source
A Derivation of the Polytomous Rasch Model Based on the Most Probable Distribution Method
The Spanish Journal of Psychology, 2014AbstractBoltzmann’s most probable distribution method is applied to derive the Polytomous Rasch model as the distribution accounting for the maximum number of possible outcomes in a test while introducing latent traits, item characteristics, and thresholds as constraints to the system.
NOVENTA, STEFANO +2 more
openaire +4 more sources
The Derivation of Polytomous Rasch Models
1995This chapter, analogous to Chapter 2, derives polytomous Rasch models from certain sets of assumptions. First, it is shown that the multidimensional polytomous Rasch model follows from the assumption that there exists a vector-valued minimal sufficient statistic T for the vector-valued person parameter θ, where T is independent of the item parameters ...
openaire +1 more source
An application of dichotomous and polytomous Rasch models for scoring energy insecurity
Energy Policy, 2012Abstract Household food security in the United States has been extensively researched and a number of indexes have been generated. However, household energy security has been largely ignored even though low-income households spend almost equal income shares on food and energy.
Anthony G. Murray, Bradford F. Mills
openaire +1 more source
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
openaire +1 more source
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
openaire +1 more source
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.
openaire +1 more source