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The relationship between CUB and loglinear models with latent variables


 
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1. Title Title of document The relationship between CUB and loglinear models with latent variables
 
2. Creator Author's name, affiliation, country Daniel L. Oberski; Tilburg University
 
2. Creator Author's name, affiliation, country Jeroen Kees Vermunt; Tilburg University; Netherlands
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) CUB models; finite mixture; latent class; ordinal data
 
4. Description Abstract

The “combination of uniform and shifted binomial” (CUB) model is a dis- tribution for ordinal variables that has received considerable recent attention and specialized development. This article notes that the CUB model is a special case of the well-known loglinear latent class model, an observation that is useful for two reasons. First, we show how it can be used to estimate the cub model in familiar standard software such as Mplus or Latent gold. Second, the mathematical equivalence of CUB with this well-known model and its correspondingly long history allows well-known results to be applied straightforwardly, subsuming a wide range of specialized recent developments of CUB and suggesting several possibly useful future ones. Thus, the observation that CUB and its extensions are restricted loglinear latent class models should be useful to both applied practitioners and methodologists.

 
5. Publisher Organizing agency, location Coordinamento SIBA - Università del Salento
 
6. Contributor Sponsor(s) Netherlands Organization for Scientific Research (NWO)
 
7. Date (YYYY-MM-DD) 2015-12-20
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format pdf
 
10. Identifier Uniform Resource Identifier http://siba-ese.unisalento.it/index.php/ejasa/article/view/14797
 
10. Identifier Digital Object Identifier 10.1285/i20705948v8n3p374
 
11. Source Publication/conference title; vol., no. (year) Electronic Journal of Applied Statistical Analysis; Vol 8, No 3 (2015): Electronic Journal of Applied Statistical Analysis (Special Issue inspired by the Conference " SUNOVA & SHAPE 2014")
 
12. Language English=en en
 
13. Relation Supp. Files Example syntax and data (17KB)
 
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