Skip to main content

Bootstrapping Latent Class Models

  • Conference paper
Classification — the Ubiquitous Challenge

Abstract

This paper deals with improved measures of statistical accuracy for parameter estimates of latent class models. It introduces more precise confidence intervals for the parameters of this model, based on parametric and nonparametric bootstrap. Moreover, the label-switching problem is discussed and a solution to handle it introduced. The results are illustrated using a well-known dataset.

His research was supported by Fundação para a Ciência e Tecnologia Grant no. SFRH/BD/890/2000 (Portugal) and conducted at the University of Groningen (Population Research Centre and Faculty of Economics), The Netherlands. I would like to thank Jeroen Vermunt and one referee for their helpful comments on a previous draft of the manuscript.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • ALBANESE, M.T. and KNOTT, M. (1994): Bootstrapping Latent Variable Models for Binary Response. British Journal of Mathematical and Statistical Psychology, 47, 235–246.

    Google Scholar 

  • DE MENEZES, L.M. (1999): On Fitting Latent Class Models for Binary Data: The Estimation of Standard Errors. British Journal of Mathematical and Statistical Psychology, 52, 149–168.

    Article  Google Scholar 

  • DEMPSTER, A.P., LAIRD, N.M., and RUBIN, D.B. (1977): Maximum Likelihood from Incomplete Data via the EM Algorithm (with discussion). Journal of the Royal Statistical Society B, 39(1), 1–38.

    MathSciNet  Google Scholar 

  • DIAS, J.G. and WEDEL, M. (2004): An Empirical Comparison of EM, SEM and MCMC Performance for Problematic Gaussian Mixture Likelihoods. Statistics & Computing, 14(4), 323–332.

    Article  MathSciNet  Google Scholar 

  • EFRON, B. (1979): Bootstrap Methods: Another Look at the Jackknife. Annals of Statistics, 7(1), 1–26.

    MATH  MathSciNet  Google Scholar 

  • EFRON, B. (1987): Better Bootstrap Confidence Intervals (with discussion). Journal of the American Statistical Association, 82(397), 171–200.

    Article  MATH  MathSciNet  Google Scholar 

  • EFRON, B. and TIBSHIRANI, R.J. (1986): Bootstrap Methods for Standard Errors, Confidence Intervals, and Other Measures of Statistical Accuracy (with discussion). Statistical Science, 1(1), 54–96.

    MathSciNet  Google Scholar 

  • EFRON, B. and TIBSHIRANI, R.J. (1993): An Introduction to the Bootstrap. Chapman & Hall, London.

    Google Scholar 

  • MCLACHLAN, G.J. and PEEL, D. (2000): Finite Mixture Models. John Wiley & Sons, New York.

    Google Scholar 

  • STEPHENS, M. (2000): Dealing with Label Switching in Mixture Models. Journal of the Royal Statistical Society B, 62(4), 795–809.

    Article  MATH  MathSciNet  Google Scholar 

  • VERMUNT, J.K. and MAGIDSON, J. (2003): Latent Class Models for Classification. Computational Statistics & Data Analysis, 41(3–4), 531–537.

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2005 Springer-Verlag Berlin · Heidelberg

About this paper

Cite this paper

Dias, J.G. (2005). Bootstrapping Latent Class Models. In: Weihs, C., Gaul, W. (eds) Classification — the Ubiquitous Challenge. Studies in Classification, Data Analysis, and Knowledge Organization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-28084-7_11

Download citation

Publish with us

Policies and ethics