© 1976 by Biometrika Trust
Inference and missing data
Educational Testing Service Princeton, New Jersey
When making sampling distribution inferences about the parameter of the data, 
, it is appropriate to ignore the process that causes missing data if the missing data are ‘missing at random’ and the observed data are ‘observed at random’, but these inferences are generally conditional on the observed pattern of missing data. When making direct-likelihood or Bayesian inferences about , it is appropriate to ignore the process that causes missing data if the missing data are missing at random and the parameter of the missing data process is ‘distinct’ from . These conditions are the weakest general conditions under which ignoring the process that causes missing data always leads to correct inferences.
Key Words: Bayesian inference • Incomplete data • Likelihood inference • Missing at random • Missing data • Missing values • Observed at random • Sampling distribution inference
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|
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|
|
|
|
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|
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|
|
|
|
|
|
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|
|
|
|
 |
|
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|
|
|
|
 |
|
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|
|
|
|
 |
|
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|
|
|
|
|
|
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|
|
|
|
|
|
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|
|
|
|
 |
|
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|
|
|
|
|
|
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|
|
|
|
 |
|
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|
|
|
|
|
|
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|
|
|
|
 |
|
 M. Verpoorten and L. Berlage Economic Mobility in Rural Rwanda: A Study of the Effects of War and Genocide at the Household Level J. Afr. Econ., June 1, 2007; 16(3): 349 - 392. [Abstract] [Full Text] [PDF]
|
|
|
|
|
|
J. Jiang and Z. Haibo Additive hazard regression with auxiliary covariates Biometrika, June 1, 2007; 94(2): 359 - 369. [Abstract] [Full Text] [PDF]
|
|
|
|
|
|
C. Wang, S.-M. Lee, and E. C. Chao Numerical equivalence of imputing scores and weighted estimators in regression analysis with missing covariates Biostat., April 1, 2007; 8(2): 468 - 473. [Abstract] [Full Text] [PDF]
|
|
|
|
 |
|
 D. Polsky, J. A. Doshi, M. S. Bauer, and H. A. Glick Clinical Trial-Based Cost-Effectiveness Analyses of Antipsychotic Use Am J Psychiatry, December 1, 2006; 163(12): 2047 - 2056. [Abstract] [Full Text] [PDF]
|
|
|
|
 |
|
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|
|
|
|
 |
|
 A. L. Hoff, T. M. Palermo, M. Schluchter, K. Zebracki, and D. Drotar Longitudinal Relationships of Depressive Symptoms to Pain Intensity and Functional Disability Among Children with Disease-Related Pain J. Pediatr. Psychol., November 1, 2006; 31(10): 1046 - 1056. [Abstract] [Full Text] [PDF]
|
|
|
|
 |
|
 R. J. Contrada, D. A. Boulifard, E. L. Idler, T. J. Krause, and E. W. Labouvie Course of Depressive Symptoms in Patients Undergoing Heart Surgery: Confirmatory Analysis of the Factor Pattern and Latent Mean Structure of the Center for Epidemiologic Studies Depression Scale Psychosom Med, November 1, 2006; 68(6): 922 - 930. [Abstract] [Full Text] [PDF]
|
|
|
|
 |
|
 D. Gianola and H. Simianer A Thurstonian Model for Quantitative Genetic Analysis of Ranks: A Bayesian Approach Genetics, November 1, 2006; 174(3): 1613 - 1624. [Abstract] [Full Text] [PDF]
|
|
|
|
|
|
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|
|
|
|
 |
|
 I. Jansen, A. Van den Troost, G. Molenberghs, A. A. Vermulst, and J. R. M. Gerris Modeling Partially Incomplete Marital Satisfaction Data Sociological Methods Research, August 1, 2006; 35(1): 113 - 136. [Abstract] [PDF]
|
|
|
|
 |
|
 S. R Cole, H. Chu, and S. Greenland Multiple-imputation for measurement-error correction Int. J. Epidemiol., August 1, 2006; 35(4): 1074 - 1081. [Abstract] [Full Text] [PDF]
|
|
|
|
 |
|
 H. Hin, R. Clarke, P. Sherliker, W. Atoyebi, K. Emmens, J. Birks, J. Schneede, P. M. Ueland, E. Nexo, J. Scott, et al. Clinical relevance of low serum vitamin B12 concentrations in older people: the Banbury B12 study Age Ageing, July 1, 2006; 35(4): 416 - 422. [Abstract] [Full Text] [PDF]
|
|
|
|
|
|
D. Gianola, R. L. Fernando, and A. Stella Genomic-Assisted Prediction of Genetic Value With Semiparametric Procedures Genetics, July 1, 2006; 173(3): 1761 - 1776. [Abstract] [Full Text] [PDF]
|
|
|
|
|
|
R. F Potthoff, G. E Tudor, K. S Pieper, and V. Hasselblad Can one assess whether missing data are missing at random in medical studies? Statistical Methods in Medical Research, June 1, 2006; 15(3): 213 - 234. [Abstract] [PDF]
|
|
|
|
|
|
C. K. Enders A Primer on the Use of Modern Missing-Data Methods in Psychosomatic Medicine Research Psychosom Med, May 1, 2006; 68(3): 427 - 436. [Abstract] [Full Text] [PDF]
|
|
|
|
 |
|
 J. Katz, P. Christian, F. Dominici, and S. L. Zeger Treatment Effects of Maternal Micronutrient Supplementation Vary by Percentiles of the Birth Weight Distribution in Rural Nepal J. Nutr., May 1, 2006; 136(5): 1389 - 1394. [Abstract] [Full Text] [PDF]
|
|
|
|
|
|
J. W Hogan and D. O Scharfstein Estimating causal effects from multiple cycle data in studies of in vitro fertilization Statistical Methods in Medical Research, April 1, 2006; 15(2): 195 - 209. [Abstract] [PDF]
|
|
|
|
 |
|
 S. R. Smith, D. J. Catellier, E. A. Conlisk, and G. A. Upchurch Effect on health outcomes of a community-based medication therapy management program for seniors with limited incomes Am. J. Health Syst. Pharm., February 15, 2006; 63(4): 372 - 379. [Full Text] [PDF]
|
|
|
|
|
|
J. M. te Marvelde, C. A. W. Glas, G. Van Landeghem, and J. Van Damme Application of Multidimensional Item Response Theory Models to Longitudinal Data Educational and Psychological Measurement, February 1, 2006; 66(1): 5 - 34. [Abstract] [PDF]
|
|
|
|
 |
|
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|
|
|
|
|
|
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|
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