| Loglinear representations of multivariate Bernoulli Rasch models. | |
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MedLine Citation:
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PMID: 21492137 Owner: NLM Status: In-Data-Review |
Abstract/OtherAbstract:
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In this paper, the extended Rasch model for dichotomously scored items is derived from the general multivariate Bernoulli distribution. The necessary and sufficient conditions for the multivariate Bernoulli distribution to be equal to the extended Rasch model provide a new loglinear representation of the extended Rasch model. Conditions are also given under which the extended Rasch model is equal to the random effects Rasch model, and it is shown under what conditions the extended Rasch model is equal to a random effects Rasch model in which the underlying variable has a normal distribution. In addition, alternative models for the construction of likelihood ratio tests are proposed. One of these alternative models is Haberman's extended interaction model. Furthermore, it is shown how both the SPSS and SAS programs can be used to estimate and test loglinear representations of extended Rasch models. |
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Authors:
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David J Hessen |
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Publication Detail:
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Type: Journal Article Date: 2010-12-07 |
Journal Detail:
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Title: The British journal of mathematical and statistical psychology Volume: 64 ISSN: 0007-1102 ISO Abbreviation: Br J Math Stat Psychol Publication Date: 2011 May |
Date Detail:
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Created Date: 2011-04-15 Completed Date: - Revised Date: - |
Medline Journal Info:
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Nlm Unique ID: 0004047 Medline TA: Br J Math Stat Psychol Country: England |
Other Details:
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Languages: eng Pagination: 337-54 Citation Subset: IM |
Copyright Information:
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©2010 The British Psychological Society. |
Affiliation:
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Utrecht University, The Netherlands. |
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From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine
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