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.
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.
Diggle, P.J. and Kenward, M.G. (1994). Informative Dropout in Longitudinal Data Analysis. Applied Statistics, 43, 49–94.
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.
Laird, N.M. and Ware, J.H. (1982). Random-effects models for longitudinal data. Biometrics, 37, 383–390.
Little, RJ.A. (1993). Pattern-Mixture Models for Multivariate Incomplete Data. Journal of the American Statistical Association, 88, 125–134.
Little, RJ.A. (1994). A Class of Pattern-Mixture Models for Normal Missing Data. Biometrika, 81, 471–483.
Little, RJ.A. (1995). Modeling the Dropout Mechanism in Repeated-Measures Studies. Journal of the American Statistical Association, 90, 1112–1121.
Little, RJ.A. and Wang, Y-X (1996). Pattern-Mixture Models for Multivariate Incomplete Data with Covariates. Biometrics, 52, 98–111.
Little, RJ.A and Rubin, D.B. (2002). Statistical Analysis with Missing Data, 2nd. Edition. New York: John Wiley.
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.
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.
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.
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.
Rubin, D.B. (1976). Inference and missing data. Biometrika, 63, 581–592.
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.
Schluchter, M.D. (1992). Methods for the Analysis of Informatively Censored Longitudinal Data. Statistics in Medicine, 11, 1861–1870.
Tang, G., Little, RJ.A., and Raghunathan, T.E. (2003). Analysis of Multivariate Missing Data with Nonignorable Nonresponse. Biometrika, 90, 747–764.
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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
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