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2016 | OriginalPaper | Buchkapitel

12. Mixture Models: Latent Profile and Latent Class Analysis

verfasst von : Daniel Oberski

Erschienen in: Modern Statistical Methods for HCI

Verlag: Springer International Publishing

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Abstract

Latent class analysis (LCA) and latent profile analysis (LPA) are techniques that aim to recover hidden groups from observed data. They are similar to clustering techniques but more flexible because they are based on an explicit model of the data, and allow you to account for the fact that the recovered groups are uncertain. LCA and LPA are useful when you want to reduce a large number of continuous (LPA) or categorical (LCA) variables to a few subgroups. They can also help experimenters in situations where the treatment effect is different for different people, but we do not know which people. This chapter explains how LPA and LCA work, what assumptions are behind the techniques, and how you can use R to apply them.

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Fußnoten
1
Confusingly, sometimes latent class analysis is used as a broader term for mixture models.
 
2
This is not true, but the rest of the chapter is.
 
3
Apparently, Ms. Parveen is 213.4 cm and Mr. Dangi is 48.3 cm.
 
4
As can be gleaned from the figures, by “normal curve” I mean the probability density function.
 
5
We also need to know the proportion of men/women \(\pi _1^{X}\) but I will ignore that for the moment.
 
Literatur
Zurück zum Zitat Bakk Z, Tekle FB, Vermunt JK (2013) Estimating the association between latent class membership and external variables using bias-adjusted three-step approaches. Sociol Methodol 43(1):272–311CrossRef Bakk Z, Tekle FB, Vermunt JK (2013) Estimating the association between latent class membership and external variables using bias-adjusted three-step approaches. Sociol Methodol 43(1):272–311CrossRef
Zurück zum Zitat Collins LM, Lanza ST (2013) Latent class and latent transition analysis: with applications in the social, behavioral, and health sciences, vol 718. Wiley, New York Collins LM, Lanza ST (2013) Latent class and latent transition analysis: with applications in the social, behavioral, and health sciences, vol 718. Wiley, New York
Zurück zum Zitat Fraley C, Raftery AE (1999) Mclust: software for model-based cluster analysis. J Classif 16(2):297–306 Fraley C, Raftery AE (1999) Mclust: software for model-based cluster analysis. J Classif 16(2):297–306
Zurück zum Zitat Hagenaars JA, McCutcheon AL (2002) Applied latent class analysis. Cambridge University Press, Cambridge Hagenaars JA, McCutcheon AL (2002) Applied latent class analysis. Cambridge University Press, Cambridge
Zurück zum Zitat Hussain Z, Williams GA, Griffiths MD (2015) An exploratory study of the association between online gaming addiction and enjoyment motivations for playing massively multiplayer online role-playing games. Comput Hum Behav 50:221–230CrossRef Hussain Z, Williams GA, Griffiths MD (2015) An exploratory study of the association between online gaming addiction and enjoyment motivations for playing massively multiplayer online role-playing games. Comput Hum Behav 50:221–230CrossRef
Zurück zum Zitat Imai K (2013) Experiment: R package for designing and analyzing randomized experiments. R package version 1.1-1 Imai K (2013) Experiment: R package for designing and analyzing randomized experiments. R package version 1.1-1
Zurück zum Zitat Linzer DA, Lewis JB (2011) poLCA: an R package for polytomous variable latent class analysis. J Stat Softw 42(10):1–29 Linzer DA, Lewis JB (2011) poLCA: an R package for polytomous variable latent class analysis. J Stat Softw 42(10):1–29
Zurück zum Zitat McLachlan, G. and Peel, D. (2004). Finite mixture models. John Wiley & Sons, New York McLachlan, G. and Peel, D. (2004). Finite mixture models. John Wiley & Sons, New York
Zurück zum Zitat Muthén LK, Muthén B (2007) Mplus user’s guide. Muthén & Muthén, Los Angeles Muthén LK, Muthén B (2007) Mplus user’s guide. Muthén & Muthén, Los Angeles
Zurück zum Zitat Nagygyörgy K, Urbán R, Farkas J, Griffiths MD, Zilahy D, Kökönyei G, Mervó B, Reindl A, Ágoston C, Kertész A et al (2013) Typology and sociodemographic characteristics of massively multiplayer online game players. Int J Hum-Comput Interaction 29(3):192–200CrossRef Nagygyörgy K, Urbán R, Farkas J, Griffiths MD, Zilahy D, Kökönyei G, Mervó B, Reindl A, Ágoston C, Kertész A et al (2013) Typology and sociodemographic characteristics of massively multiplayer online game players. Int J Hum-Comput Interaction 29(3):192–200CrossRef
Zurück zum Zitat R Core Team (2012) R: a language and environment for statistical computing. R Foundation for Statistical Computing, Vienna, Austria. ISBN 3-900051-07-0 R Core Team (2012) R: a language and environment for statistical computing. R Foundation for Statistical Computing, Vienna, Austria. ISBN 3-900051-07-0
Zurück zum Zitat Skrondal A, Rabe-Hesketh S (2004) Generalized latent variable modeling: multilevel, longitudinal, and structural equation models. Interdisciplinary statistics series. Chapman & Hall/CRC, Boca Raton Skrondal A, Rabe-Hesketh S (2004) Generalized latent variable modeling: multilevel, longitudinal, and structural equation models. Interdisciplinary statistics series. Chapman & Hall/CRC, Boca Raton
Zurück zum Zitat Vermunt JK, Magidson J (2004) Latent class analysis. The sage encyclopedia of social sciences research methods, pp 549–553 Vermunt JK, Magidson J (2004) Latent class analysis. The sage encyclopedia of social sciences research methods, pp 549–553
Zurück zum Zitat Vermunt J, Magidson J (2013a) LG-Syntax user’s guide: manual for Latent GOLD 5.0 Syntax Module. Statistical Innovations Inc., Belmont Vermunt J, Magidson J (2013a) LG-Syntax user’s guide: manual for Latent GOLD 5.0 Syntax Module. Statistical Innovations Inc., Belmont
Zurück zum Zitat Vermunt JK, Magidson J (2013b) Technical guide for Latent GOLD 5.0: basic, advanced, and syntax. Statistical Innovations Inc., Belmont Vermunt JK, Magidson J (2013b) Technical guide for Latent GOLD 5.0: basic, advanced, and syntax. Statistical Innovations Inc., Belmont
Zurück zum Zitat Yang M-H, Ahuja N (2001) Face detection and gesture recognition for human-computer interaction. Springer Science & Business Media Yang M-H, Ahuja N (2001) Face detection and gesture recognition for human-computer interaction. Springer Science & Business Media
Metadaten
Titel
Mixture Models: Latent Profile and Latent Class Analysis
verfasst von
Daniel Oberski
Copyright-Jahr
2016
DOI
https://doi.org/10.1007/978-3-319-26633-6_12