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Theory and Methods

Pattern-Mixture Models for Multivariate Incomplete Data

Pages 125-134 | Published online: 20 Dec 2012

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 .
  • Andersson , S. A. and Perlman , M. D. 1989 . Lattice-Ordered Conditional Independence Models for Missing Data,” Department of Statistics, University of Washington. . Technical Report No. 179
  • Baker , S. G. and Laird , N. M. 1988 . “Regression Analysis for Categorical Variables with Outcome Subject to Nonignorable Nonresponse,” . Journal of the American Statistical Association , 83 : 62 – 69 .
  • Beale , E. M. L. and Little , R. J. A. 1975 . “Missing Values in Multivariate Analysis,” . Journal of the Royal Statistical Society , 37 : 129 – 145 . Ser. B
  • Buck , S. F. 1960 . “A Method of Estimation of Missing Values in Multivariate Data Suitable for Use with an Electronic Computer,” . Journal of the Royal Statistical Society , 22 : 302 – 306 . Ser. B
  • Brown , C. H. 1990 . “Protecting Against Nonrandomly Missing Data in Longitudinal Studies,” . Biometrics , 46 : 143 – 157 .
  • Chen , T. and Fienberg , S. E. 1974 . “Two-Dimensional Contingency Tables with Both Completely and Partially Classified Data,” . Biometrics , 30 : 629 – 642 .
  • Cox , D. R. and Wermuth , N. 1990 . “An Approximation to Maximum Likelihood Estimates in Reduced Models,” . Biometrika , 77 : 747 – 762 .
  • Dempster , A. P. , Laird , N. M. and Rubin , D. B. 1977 . “Maximum Likelihood from Incomplete Data via the EM Algorithm,” . Journal of the Royal Statistical Society , 39 : 1 – 38 . Ser. B
  • Fay , R. E. 1986 . “Causal Models for Nonresponse,” . Journal of the American Statistical Association , 81 : 354 – 365 .
  • Glynn , R. J. , Laird , N. M. and Rubin , D. B. 1986 . “Selection Modeling Versus Mixture Modeling with Nonignorable Nonresponse,”. ” . In Drawing Inferences from Self-Selected Samples Edited by: Wainer , H. 115 – 142 . New York : Springer-Verlag. .
  • Greenlees , W. S. , Reece , J. S. and Zieschang , K. D. 1982 . “Imputation of Missing Values When the Probability of Response Depends on the Value Being Imputed,” . Journal of the American Statistical Association , 77 : 251 – 261 .
  • Heckman , J. 1976 . “The Common Structure of Statistical Models of Truncation, Sample Selection, Limited Dependent Variables, and a Simple Estimator for Such Models,” . Annals of Economic and Social Measurement , 5 : 475 – 492 .
  • Little , R. J. A. 1982 . “Models for Nonresponse in Sample Surveys,” . Journal of the American Statistical Association , 77 : 237 – 250 .
  • Little , R. J. A. 1985 . “Nonresponse Adjustments in Longitudinal Surveys: Models for Longitudinal Data,” 1 – 18 . Bulletin of the International Statistical Institute. . Invited Papers, Section 15.1
  • Little , R. J. A. 1988a . “Small-Sample Inference About Means from Bivariate Normal Data with Missing Values,” . Computational Statistics and Data Analysis , 7 : 161 – 178 .
  • Little , R. J. A. 1988b . “A Test of Missing Completely at Random for Multivariate Data with Missing Values,” . Journal of the American Statistical Association , 83 : 1198 – 1202 .
  • Little , R. J. A. and David , M. 1983 . “Weighting Adjustments for Nonresponse in Panel Surveys,” Washington , DC : U.S. Bureau of the Census. . working paper
  • Little , R. J. A. and Rubin , D. B. 1983 . “On Jointly Estimating Parameters and Missing Data by Maximizing the Complete-Data Loglikelihood,” . The American Statistician , 37 : 218 – 220 .
  • Little , R. J. A. and Rubin , D. B. 1987 . Statistical Analysis with Missing Data New York : John Wiley. .
  • Little , R. J. A. and Rubin , D. B. 1989 . “Missing Data in Social Science Data Sets,” . Sociological Methods and Research , 18 : 292 – 326 . reprinted in Modern Methods of Data Analysis, eds. J. S. Long and J. Fox, Newbury Park, CA: Sage Press, pp. 374–409
  • Marini , M. M. , Olsen , A. R. and Rubin , D. B. 1980 . “Maximum Likelihood Estimation in Panel Studies with Missing Data,” . Sociological Methodology , 11 : 314 – 357 .
  • Orchard , T. and Woodbury , M. A. 1972 . “A Missing Information Principle: Theory and Applications,” . Proceedings of the Sixth Berkeley Symposium on Mathematical Statistics and Probability , 1 : 697 – 715 .
  • Rubin , D. B. 1974 . “Characterizing the Estimation of Parameters in Incomplete Data Problems,” . Journal of the American Statistical Association , 69 : 467 – 474 .
  • Rubin , D. B. 1976 . “Inference and Missing Data,” . Biometrika , 63 : 581 – 592 .
  • Rubin , D. B. 1977 . “Formalizing Subjective Notions About the Effect of Non-respondents in Sample Surveys,” . Journal of the American Statistical Association , 72 : 538 – 543 .
  • Rubin , D. B. “Multiple Imputations in Sample Surveys—A Phenomenological Bayesian Approach,” . Proceedings of the Survey Research Methods Section . pp. 20 – 34 . American Statistical Association. .
  • Rubin , D. B. 1987 . Multiple Imputation for Nonresponse in Surveys New York : John Wiley. .
  • Tanner , M. 1990 . Tools for Statistical Inference: Observed Data and Data Augmentation Methods New York : Springer-Verlag. .

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