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Analysis of longitudinal data using a finite mixture model

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Abstract

This paper considers a finite mixture model for longitudinal data, which can be used to study the dependency of the shape of the respective follow-up curves on treatments or other influential factors and to classify these curves. An EM-algorithm to achieve the ml-estimate of the model is given. The potencies of the model are demonstrated using data of a clinical trial.

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References

  1. Böhning, D., Schlattmann, P., and B. Lindsay (1992) Computer Assisted Analysis of Mixtures (C.A.MAN): Statistical Algorithms.Biometrics, 48, 283–303

    Article  Google Scholar 

  2. Dempster, A.P., Laird, N.M., and D.B. Rubin (1977) Maximum likelihood estimation from incomplete data via the EM algorithm (with discussion).J. Roy. Statist. Soc. B, 39, 1–39.

    MathSciNet  MATH  Google Scholar 

  3. Dietz, E. (1992) Estimation of heterogeneity—a GLM-approach,Fahrmeir, L., Francis, B., Gilchrist, R. Tutz, G. (Eds.):Advances in GLIM and Statistical Modelling. Lecture Notes in Statistics, 78, 66–71. Springer, New York.

    Google Scholar 

  4. Follmann, D.A. and D. Lambert (1991) Indentifiability of finite mixtures of logistic regression models.J. Statist. Planning and Inference, 27, 375–381.

    Article  MathSciNet  MATH  Google Scholar 

  5. Lambert, D. (1992) Zero-inflated poisson regression, with an application to defects in manufacturing.Technometrics, 34, 1–14.

    Article  MATH  Google Scholar 

  6. Leroux, B.G. and M.L. Puterman (1992) Maximum-penalized-likelihood estimation for independent and Markov-dependent mixture distribution.Biometrics, 48, 545–558.

    Article  Google Scholar 

  7. Little, R.J.A. and D.B. Rubin (1983) On jointly estimating parameters and missing values by maximizing the complete data likelihood.Amer. Statist., 37, 218–220

    Article  Google Scholar 

  8. McLachlan, G.J. and K.E. Basford (1988)Mixture models: Inference and Applications to Clustering. Marcel Dekker, New York.

    MATH  Google Scholar 

  9. Titterington, D.M., Smith, A.F.M. and U.E. Makov (1985)Statistical Analysis of Finite Mixture Distributions. Wiley, London.

    MATH  Google Scholar 

  10. White, H. (1982) Maximum likelihood estimation of misspecified models.Econometrica, 50, 1–25.

    Article  MathSciNet  MATH  Google Scholar 

  11. Zeger, S.L., Liang, K.-Y. and P.S. Albert (1988) Models for longitudinal data: a generalized estimating equation approach.Biometrics, 44, 1049–1060.

    Article  MathSciNet  MATH  Google Scholar 

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Dietz, E., Böhning, D. Analysis of longitudinal data using a finite mixture model. Statistical Papers 35, 203–210 (1994). https://doi.org/10.1007/BF02926414

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