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Fitting finite mixtures of generalized linear regressions in R. (English) Zbl 1445.62192

Summary: R package flexmix provides flexible modelling of finite mixtures of regression models using the EM algorithm. Several new features of the software such as fixed and nested varying effects for mixtures of generalized linear models and multinomial regression for a priori probabilities given concomitant variables are introduced. The use of the software in addition to model selection is demonstrated on a logistic regression example.

MSC:

62J12 Generalized linear models (logistic models)
62H30 Classification and discrimination; cluster analysis (statistical aspects)
62-04 Software, source code, etc. for problems pertaining to statistics

Software:

mmlcr; flexmix; R
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References:

[1] Aitkin, M., Meta-analysis by random effect modelling in generalized linear models, Statist. med., 18, 17-18, 2343-2351, (1999)
[2] Biernacki, C.; Celeux, G.; Govaert, G., Assessing a mixture model for clustering with the integrated completed likelihood, IEEE trans. pattern anal. Mach. intell., 22, 7, 719-725, (2000)
[3] Buyske, S., 2006. R Package : Mixed-mode latent class regression. Version 1.3.5. URL \(\langle\)http://www.stat.rutgers.edu/\(\sim\)buyske/software.html⟩.
[4] Dayton, C.M.; Macready, G.B., Concomitant-variable latent-class models, J. amer. statist. assoc., 83, 401, 173-178, (1988)
[5] Follmann, D.A.; Lambert, D., Generalizing logistic regression by non-parametric mixing, J. amer. statist. assoc., 84, 405, 295-300, (1989)
[6] Gentleman, R.; Ihaka, R., Lexical scope and statistical computing, J. comput. graphical statist., 9, 3, 491-508, (2000)
[7] Grün, B., Leisch, F., 2006. Fitting finite mixtures of linear regression models with varying & fixed effect in R. In: Rizzi, A., Vichi, M. (Eds.), Compstat 2006—Proceedings in Computational Statistics. Physica Verlag, Heidelberg, Germany, pp. 853-860.
[8] Hennig, C., Identifiability of models for clusterwise linear regression, J. classification, 17, 2, 273-296, (2000) · Zbl 1017.62058
[9] Leisch, F., 2004. FlexMix: a general framework for finite mixture models and latent class regression in R. J. Statist. Software 11(8). URL \(\langle\)http://www.jstatsoft.org/v11/i08/⟩.
[10] McCullagh, P.; Nelder, J.A., Generalized linear models, (1989), Chapman & Hall New York · Zbl 0744.62098
[11] McLachlan, G.J.; Peel, D., Finite mixture models, (2000), Wiley New York · Zbl 0963.62061
[12] R Development Core Team, 2006. R: a language and environment for statistical computing. R Foundation for Statistical Computing, Vienna, Austria. URL \(\langle\)http://www.R-project.org⟩.
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