caa a22 4500 606242066 CHVBK 20210128101316.0 cr unu---uuuuu 210128e20151201xx s 000 0 eng 10.1007/s11336-015-9479-4 doi (NATIONALLICENCE)springer-10.1007/s11336-015-9479-4 A Gibbs Sampler for the (Extended) Marginal Rasch Model [Elektronische Daten] [Gunter Maris, Timo Bechger, Ernesto Martin] In their seminal work on characterizing the manifest probabilities of latent trait models, Cressie and Holland give a theoretically important characterization of the marginal Rasch model. Because their representation of the marginal Rasch model does not involve any latent trait, nor any specific distribution of a latent trait, it opens up the possibility for constructing a Markov chain - Monte Carlo method for Bayesian inference for the marginal Rasch model that does not rely on data augmentation. Such an approach would be highly efficient as its computational cost does not depend on the number of respondents, which makes it suitable for large-scale educational measurement. In this paper, such an approach will be developed and its operating characteristics illustrated with simulated data. The Author(s), 2015 item response theory nationallicence marginal Rasch model nationallicence extended Rasch model nationallicence Gibbs sampler nationallicence Maris Gunter Cito - University of Amsterdam, Arnhem, The Netherlands aut Bechger Timo Cito, Arnhem, The Netherlands aut Martin Ernesto Pontificia Universidad Catolica de Chile, Santiago, Chile aut Psychometrika Springer US; http://www.springer-ny.com 80/4(2015-12-01), 859-879 0033-3123 80:4<859 2015 80 11336 https://doi.org/10.1007/s11336-015-9479-4 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s11336-015-9479-4 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Maris Gunter Cito - University of Amsterdam, Arnhem, The Netherlands aut NATIONALLICENCE 700 1- Bechger Timo Cito, Arnhem, The Netherlands aut NATIONALLICENCE 700 1- Martin Ernesto Pontificia Universidad Catolica de Chile, Santiago, Chile aut NATIONALLICENCE 773 0- Psychometrika Springer US; http://www.springer-ny.com 80/4(2015-12-01), 859-879 0033-3123 80:4<859 2015 80 11336