Skip to main content

Multivariate and Multilevel Longitudinal Analysis

  • Chapter
  • First Online:
Longitudinal Research with Latent Variables
  • 3912 Accesses

Abstract

This chapter presents a review of perspectives and methods for analysis of longitudinal data on several related variables. A connection is made with multilevel analysis in which the longitudinal and multivariate dimensions of the data can naturally be subsumed. With the focus on large-scale longitudinal studies of human subjects who are in general disinterested in and not highly motivated by the agenda of the study, methods for dealing with nonresponse are an essential addendum to the analytical equipment.

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

Access this chapter

eBook
USD 16.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover 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.

Similar content being viewed by others

References

  • Chatfield, C. (1995). Model uncertainty, data mining and statistical inference. Journal of the Royal Statistical Society, Ser. A, 158, 419-466.

    Article  Google Scholar 

  • Diggle, P., Heagerty, P., Liang, K.-Y., & Zeger, S. L. (2002). Analysis of longitudinal data (2nd ed.). Oxford: Oxford University Press.

    Google Scholar 

  • Draper, D. (1995). Assessment and propagation of model uncertainty. Journal of the Royal Statistical Society, Ser. B, 57, 45-97.

    MATH  MathSciNet  Google Scholar 

  • Francis, B., Green, M., & Payne, C. (1993). The GLIM system. Release 4 manual. Oxford: Oxford University Press.

    MATH  Google Scholar 

  • Goldstein, H. (2003). Multilevel statistical models (3rd ed.). London: E. Arnold.

    MATH  Google Scholar 

  • Holland, P. W. (1986). Statistics and causal inference. Journal of the American Statistical Association, 81, 945-970.

    Article  MATH  MathSciNet  Google Scholar 

  • Laird, N. M., & Ware, J. H. (1982). Random-effects models for longitudinal data. Biometrics, 38, 963-974.

    Article  MATH  Google Scholar 

  • Little, R. J. A., & Rubin, D. B. (2002). Statistical analysis with missing data (2nd ed.). New York: Wiley.

    MATH  Google Scholar 

  • Longford, N. T. (1993). Random coefficient models. Oxford: Oxford University Press.

    MATH  Google Scholar 

  • Longford, N. T. (2001). Simulation-based diagnostics in random-coefficient models. Journal of the Royal Statistical Society, Ser. A, 64, 259-273.

    Article  MathSciNet  Google Scholar 

  • Longford, N. T. (2007). Studying human populations. An advanced course in statistics. New York: Springer-Verlag.

    Google Scholar 

  • Pinheiro, J. C., & Bates, D. M. (2000). Mixed-effects models in S and Splus. New York: Springer-Verlag.

    Book  MATH  Google Scholar 

  • Rasbash, J., Charlton, C., Browne, W. J., Healy, M., & Cameron, B. (2005). MLwin version 2.02. Centre for Multilevel Modelling, University of Bristol.

    Google Scholar 

  • Rubin, D. B. (1984). Bayesianly justifiable and relevant frequency calculations for the applied statistician. Annals of Statistics, 12, 1151-1172.

    Article  MATH  MathSciNet  Google Scholar 

  • Rubin, D. B. (2005). Causal inference using potential outcomes: design, modelling, decisions. 2004 Fisher Lecture. Journal of the American Statistical Association, 100, 32-331.

    Article  Google Scholar 

  • Verbeke, G., & Molenberghs, G. (2000). Linear mixed models for longitudinal data. New York: Springer-Verlag.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Nicholas T. Longford .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2010 Springer Berlin Heidelberg

About this chapter

Cite this chapter

Longford, N.T. (2010). Multivariate and Multilevel Longitudinal Analysis. In: van Montfort, K., Oud, J., Satorra, A. (eds) Longitudinal Research with Latent Variables. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11760-2_3

Download citation

Publish with us

Policies and ethics