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Analysis of Multivariate Monotone Missing Data by A Pseudolikelihood Method

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Proceedings of the Second Seattle Symposium in Biostatistics

Part of the book series: Lecture Notes in Statistics ((LNS,volume 179))

Abstract

We consider analysis of multivariate data with a monotone pattern of missing values, where the missingness depends on the underlying value of the missing variable. Maximum likelihood and estimating-equation- based methods, based on selection models, require specifying the functional form of the missing-data mechanism. Pattern-mixture models are useful for multivariate monotone missing data with two patterns but difficult to generalize to data with more than two patterns. Pseudolikelihood selection models can obtain consistent estimates of complete-data model parameters without specifying the missing-data mechanism. We extend this method to a class of more general missing-data mechanisms and illustrate its utility using data from a schizophrenia trial.

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References

  • Anderson, T.W. (1957). Maximum likelihood estimation for the multivariate normal distribution when some observations are missing. Journal of the American Statistical Association, 52, 200–203.

    Article  MathSciNet  MATH  Google Scholar 

  • Diggle, P.J. (1998). Dealing with missing values in longitudinal studies. Statistical Analysis of Medical Data: New Developments, Editors: Everitt, B.S. and Dunn, G. New York: Oxford University Press.

    Google Scholar 

  • Diggle, P.J. and Kenward, M.G. (1994). Informative Dropout in Longitudinal Data Analysis. Applied Statistics, 43, 49–94.

    Article  MATH  Google Scholar 

  • Glynn, R, Laird, N.M., and Rubin, D.B. (1986). Selection modeling versus mixture modeling with nonignorable nonresponse, in Drawing Inferences from Self-Selected Samples, H. Wainer, ed. Springer-Verlag, New York, 119–146.

    Google Scholar 

  • Laird, N.M. and Ware, J.H. (1982). Random-effects models for longitudinal data. Biometrics, 37, 383–390.

    Google Scholar 

  • Little, RJ.A. (1993). Pattern-Mixture Models for Multivariate Incomplete Data. Journal of the American Statistical Association, 88, 125–134.

    Article  MATH  Google Scholar 

  • Little, RJ.A. (1994). A Class of Pattern-Mixture Models for Normal Missing Data. Biometrika, 81, 471–483.

    Article  MathSciNet  MATH  Google Scholar 

  • Little, RJ.A. (1995). Modeling the Dropout Mechanism in Repeated-Measures Studies. Journal of the American Statistical Association, 90, 1112–1121.

    Article  MathSciNet  MATH  Google Scholar 

  • Little, RJ.A. and Wang, Y-X (1996). Pattern-Mixture Models for Multivariate Incomplete Data with Covariates. Biometrics, 52, 98–111.

    Article  MATH  Google Scholar 

  • Little, RJ.A and Rubin, D.B. (2002). Statistical Analysis with Missing Data, 2nd. Edition. New York: John Wiley.

    MATH  Google Scholar 

  • Mori, M., Woodworth, G.G., and Woolson, RF. (1992). Application of Empirical Bayes Inference to Estimation of Rate of Change in the Presence of Informative Right Censoring. Statistics in Medicine, 11, 621–631.

    Article  Google Scholar 

  • Robins, J.M., Rotnitzky, A., and Zhao, L.P. (1994). Estimation of Regression Coefficients When Some Regressors are not Always Observed. Journal of the American Statistical Association, 89, 846–866.

    Article  MathSciNet  MATH  Google Scholar 

  • Robins, J.M., Rotnitzky, A., and Zhao, L.P. (1995). Analysis of Semiparametric Regression Models for Repeated Outcomes in the Presence of Missing Data. Journal of the American Statistical Association, 90, 106–121.

    Article  MathSciNet  MATH  Google Scholar 

  • Rotnitzky, A., Robins, J.M., and Scharfstein, D.O. (1998). Semiparametric Regression for Repeated Outcomes with Non-Ignorable Non-Response. Journal of the American Statistical Association, 93, 1321–1339.

    Article  MathSciNet  MATH  Google Scholar 

  • Rubin, D.B. (1976). Inference and missing data. Biometrika, 63, 581–592.

    Article  MathSciNet  MATH  Google Scholar 

  • Scharfstein, D.O., Rotnitzky, A., and Robins, J.M. (1999). Adjusting for Nonignorable Drop-Out Using Semiparametric Nonresponse Models. Journal of the American Statistical Association, 94, 1096–1120.

    Article  MathSciNet  MATH  Google Scholar 

  • Schluchter, M.D. (1992). Methods for the Analysis of Informatively Censored Longitudinal Data. Statistics in Medicine, 11, 1861–1870.

    Article  Google Scholar 

  • Tang, G., Little, RJ.A., and Raghunathan, T.E. (2003). Analysis of Multivariate Missing Data with Nonignorable Nonresponse. Biometrika, 90, 747–764.

    Article  MathSciNet  Google Scholar 

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Tang, G., Little, R.J.A., Raghunathan, T.E. (2004). Analysis of Multivariate Monotone Missing Data by A Pseudolikelihood Method. In: Lin, D.Y., Heagerty, P.J. (eds) Proceedings of the Second Seattle Symposium in Biostatistics. Lecture Notes in Statistics, vol 179. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-9076-1_3

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  • DOI: https://doi.org/10.1007/978-1-4419-9076-1_3

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-20862-6

  • Online ISBN: 978-1-4419-9076-1

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