DOI: 10.3990/1.9789036534697
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Bayesian item response theory models for measurement variance

Abstract: Neither this book nor any part may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopying, microfilming, and recording, or by any information storage and retrieval system, without written permission of the author. Alle rechten voorbehouden. Niets uit deze uitgave mag worden verveelvuldigd, in enige vorm of op enige wijze, zonder voorafgaande schriftelijke toestemming van de auteur.

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Cited by 3 publications
(4 citation statements)
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“…Model type 3 lets both intercepts and factor loadings vary across betweenlevel units. This has been discussed in De Jong et al (2007), De Boeck (2008), de Jong and Steenkamp (2010), Frederickx et al (2010), Fox (2010, Fox and Verhagen (2011), Verhagen and Fox (2013), Verhagen (2013), and Asparouhov and Muthén (2015). Bayesian estimation is needed because random loadings with maximum likelihood estimation give rise to numerical integration with many dimensions which is computationally intractable.…”
Section: Model Type 3: Random Intercepts Random Loadingsmentioning
confidence: 96%
“…Model type 3 lets both intercepts and factor loadings vary across betweenlevel units. This has been discussed in De Jong et al (2007), De Boeck (2008), de Jong and Steenkamp (2010), Frederickx et al (2010), Fox (2010, Fox and Verhagen (2011), Verhagen and Fox (2013), Verhagen (2013), and Asparouhov and Muthén (2015). Bayesian estimation is needed because random loadings with maximum likelihood estimation give rise to numerical integration with many dimensions which is computationally intractable.…”
Section: Model Type 3: Random Intercepts Random Loadingsmentioning
confidence: 96%
“…For an updated overview, see: http://www.lisdatacenter.org/our-data/lisdatabase/datasets-information/ 2 The literature on comparability of measurements across countries and / or time is well developed(Davidov, Schmidt, & Biliet, 2011;Verhagen, 2012;Kline, 2005). However, the methodology in this literature is mostly based on a generalised-latent variable approach.…”
mentioning
confidence: 99%
“…For the group-specific parameters, the prior structure can be defined in several different ways. One way is to assume a multilevel structure for the group-specific item parameters (De Jong et al, 2007;Fox, 2010;Fox and Verhagen, 2010;Verhagen andFox, 2013a, 2013b). Let μ b 0 denote the average difficulty of all items and let u k denote the average deviation of item k from the population mean difficulty.…”
Section: Models For Random Item Parametersmentioning
confidence: 99%
“…. , 11, and group j = 1 or 2, are treated as fixed (e.g., De Boeck, 2008;Frederickx et al, 2010;Verhagen, 2012). An item k is measurement invariant when a male or female with the same latent trait θ has the same probability of a certain response (Mellenbergh, 1989;Millsap and Everson, 1993), that is, b k1 = b k2 .…”
Section: Bayesian Model Comparisonmentioning
confidence: 99%