Pseudo-Likelihood Estimation for Incomplete Data


Molenberghs, G; Kenward, MG; Verbeke, G; Teshome, B; (2011) Pseudo-Likelihood Estimation for Incomplete Data. Statistica Sinica, 21 (1). pp. 187-206. ISSN 1017-0405

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Abstract

In statistical practice, incomplete measurement sequences are the rule rather than the exception. Fortunately, in a large variety of settings, the stochastic mechanism governing the incompleteness can be ignored without hampering inferences about the measurement process. While ignorability only requires the relatively general missing at random assumption for likelihood and Bayesian inferences, this result cannot be invoked when non-likelihood methods are used. A direct consequence of this is that a popular non-likelihood-based method, such as generalized estimating equations, needs to be adapted towards a weighted version or doubly-robust version when a missing at random process operates. So far, no such modification has been devised for pseudo-likelihood based strategies. We propose a suite of corrections to the standard form of pseudo-likelihood to ensure its validity under missingness at random. Our corrections follow both single and double robustness ideas, and is relatively simple to apply. When missingness is in the form of dropout in longitudinal data or incomplete clusters, such a structure can be exploited toward further corrections. The proposed method is applied to data from a clinical trial in onychomycosis and a developmental toxicity study.

Item Type: Article
Keywords: Double robustness, frequentist inference, generalized estimating, equations, ignorability, inverse probability weighting, likelihood, missing at random, missing completely at random, pseudo-likelihood, MULTIVARIATE BINARY DATA, MISSING DATA, REGRESSION-MODELS, REPEATED, OUTCOMES, RATIO MODELS, INFERENCE, NONRESPONSE, RESPONSES, TRIAL, Double robustnessfrequentist inferencegeneralized estimatingequationsignorabilityinverse probability weightinglikelihoodmissing at randommissing completely at randompseudo-likelihoodMULTIVARIATE BINARY DATAMISSING DATAREGRESSION-MODELSREPEATEDOUTCOMESRATI, Double robustnessfrequentist inferencegeneralized estimatingequationsignorabilityinverse probability weightinglikelihoodmissing at randommissing completely at randompseudo-likelihoodMULTIVARIATE BINARY DATAMISSING DATAREGRESSION-MODELSREPEATEDOUTCOMESRATI, Double robustnessfrequentist inferencegeneralized estimatingequationsignorabilityinverse probability weightinglikelihoodmissing at randommissing completely at randompseudo-likelihoodMULTIVARIATE BINARY DATAMISSING DATAREGRESSION-MODELSREPEATEDOUTCOMESRATI, Double robustnessfrequentist inferencegeneralized estimatingequationsignorabilityinverse probability weightinglikelihoodmissing at randommissing completely at randompseudo-likelihoodMULTIVARIATE BINARY DATAMISSING DATAREGRESSION-MODELSREPEATEDOUTCOMESRATI, Double robustnessfrequentist inferencegeneralized estimatingequationsignorabilityinverse probability weightinglikelihoodmissing at randommissing completely at randompseudo-likelihoodMULTIVARIATE BINARY DATAMISSING DATAREGRESSION-MODELSREPEATEDOUTCOMESRATI, Double robustnessfrequentist inferencegeneralized estimatingequationsignorabilityinverse probability weightinglikelihoodmissing at randommissing completely at randompseudo-likelihoodMULTIVARIATE BINARY DATAMISSING DATAREGRESSION-MODELSREPEATEDOUTCOMESRATI, Double robustnessfrequentist inferencegeneralized estimatingequationsignorabilityinverse probability weightinglikelihoodmissing at randommissing completely at randompseudo-likelihoodMULTIVARIATE BINARY DATAMISSING DATAREGRESSION-MODELSREPEATEDOUTCOMESRATI, Double robustnessfrequentist inferencegeneralized estimatingequationsignorabilityinverse probability weightinglikelihoodmissing at randommissing completely at randompseudo-likelihoodMULTIVARIATE BINARY DATAMISSING DATAREGRESSION-MODELSREPEATEDOUTCOMESRATI, Double robustnessfrequentist inferencegeneralized estimatingequationsignorabilityinverse probability weightinglikelihoodmissing at randommissing completely at randompseudo-likelihoodMULTIVARIATE BINARY DATAMISSING DATAREGRESSION-MODELSREPEATEDOUTCOMESRATI, Double robustnessfrequentist inferencegeneralized estimatingequationsignorabilityinverse probability weightinglikelihoodmissing at randommissing completely at randompseudo-likelihoodMULTIVARIATE BINARY DATAMISSING DATAREGRESSION-MODELSREPEATEDOUTCOMESRATI, Double robustnessfrequentist inferencegeneralized estimatingequationsignorabilityinverse probability weightinglikelihoodmissing at randommissing completely at randompseudo-likelihoodMULTIVARIATE BINARY DATAMISSING DATAREGRESSION-MODELSREPEATEDOUTCOMESRATI, Double robustnessfrequentist inferencegeneralized estimatingequationsignorabilityinverse probability weightinglikelihoodmissing at randommissing completely at randompseudo-likelihoodMULTIVARIATE BINARY DATAMISSING DATAREGRESSION-MODELSREPEATEDOUTCOMESRATI, Double robustnessfrequentist inferencegeneralized estimatingequationsignorabilityinverse probability weightinglikelihoodmissing at randommissing completely at randompseudo-likelihoodMULTIVARIATE BINARY DATAMISSING DATAREGRESSION-MODELSREPEATEDOUTCOMESRATI, Double robustnessfrequentist inferencegeneralized estimatingequationsignorabilityinverse probability weightinglikelihoodmissing at randommissing completely at randompseudo-likelihoodMULTIVARIATE BINARY DATAMISSING DATAREGRESSION-MODELSREPEATEDOUTCOMESRATI, Double robustnessfrequentist inferencegeneralized estimatingequationsignorabilityinverse probability weightinglikelihoodmissing at randommissing completely at randompseudo-likelihoodMULTIVARIATE BINARY DATAMISSING DATAREGRESSION-MODELSREPEATEDOUTCOMESRATI, Double robustnessfrequentist inferencegeneralized estimatingequationsignorabilityinverse probability weightinglikelihoodmissing at randommissing completely at randompseudo-likelihoodMULTIVARIATE BINARY DATAMISSING DATAREGRESSION-MODELSREPEATEDOUTCOMESRATI, Double robustnessfrequentist inferencegeneralized estimatingequationsignorabilityinverse probability weightinglikelihoodmissing at randommissing completely at randompseudo-likelihoodMULTIVARIATE BINARY DATAMISSING DATAREGRESSION-MODELSREPEATEDOUTCOMESRATI, Double robustnessfrequentist inferencegeneralized estimatingequationsignorabilityinverse probability weightinglikelihoodmissing at randommissing completely at randompseudo-likelihoodMULTIVARIATE BINARY DATAMISSING DATAREGRESSION-MODELSREPEATEDOUTCOMESRATI, Double robustnessfrequentist inferencegeneralized estimatingequationsignorabilityinverse probability weightinglikelihoodmissing at randommissing completely at randompseudo-likelihoodMULTIVARIATE BINARY DATAMISSING DATAREGRESSION-MODELSREPEATEDOUTCOMESRATI, Double robustnessfrequentist inferencegeneralized estimatingequationsignorabilityinverse probability weightinglikelihoodmissing at randommissing completely at randompseudo-likelihoodMULTIVARIATE BINARY DATAMISSING DATAREGRESSION-MODELSREPEATEDOUTCOMESRATI, Double robustnessfrequentist inferencegeneralized estimatingequationsignorabilityinverse probability weightinglikelihoodmissing at randommissing completely at randompseudo-likelihoodMULTIVARIATE BINARY DATAMISSING DATAREGRESSION-MODELSREPEATEDOUTCOMESRATI, Double robustnessfrequentist inferencegeneralized estimatingequationsignorabilityinverse probability weightinglikelihoodmissing at randommissing completely at randompseudo-likelihoodMULTIVARIATE BINARY DATAMISSING DATAREGRESSION-MODELSREPEATEDOUTCOMESRATI, Double robustnessfrequentist inferencegeneralized estimatingequationsignorabilityinverse probability weightinglikelihoodmissing at randommissing completely at randompseudo-likelihoodMULTIVARIATE BINARY DATAMISSING DATAREGRESSION-MODELSREPEATEDOUTCOMESRATI, Double robustnessfrequentist inferencegeneralized estimatingequationsignorabilityinverse probability weightinglikelihoodmissing at randommissing completely at randompseudo-likelihoodMULTIVARIATE BINARY DATAMISSING DATAREGRESSION-MODELSREPEATEDOUTCOMESRATI, Double robustnessfrequentist inferencegeneralized estimatingequationsignorabilityinverse probability weightinglikelihoodmissing at randommissing completely at randompseudo-likelihoodMULTIVARIATE BINARY DATAMISSING DATAREGRESSION-MODELSREPEATEDOUTCOMESRATI, Double robustnessfrequentist inferencegeneralized estimatingequationsignorabilityinverse probability weightinglikelihoodmissing at randommissing completely at randompseudo-likelihoodMULTIVARIATE BINARY DATAMISSING DATAREGRESSION-MODELSREPEATEDOUTCOMESRATI, Double robustnessfrequentist inferencegeneralized estimatingequationsignorabilityinverse probability weightinglikelihoodmissing at randommissing completely at randompseudo-likelihoodMULTIVARIATE BINARY DATAMISSING DATAREGRESSION-MODELSREPEATEDOUTCOMESRATI, Double robustnessfrequentist inferencegeneralized estimatingequationsignorabilityinverse probability weightinglikelihoodmissing at randommissing completely at randompseudo-likelihoodMULTIVARIATE BINARY DATAMISSING DATAREGRESSION-MODELSREPEATEDOUTCOMESRATI, Double robustnessfrequentist inferencegeneralized estimatingequationsignorabilityinverse probability weightinglikelihoodmissing at randommissing completely at randompseudo-likelihoodMULTIVARIATE BINARY DATAMISSING DATAREGRESSION-MODELSREPEATEDOUTCOMESRATI, Double robustnessfrequentist inferencegeneralized estimatingequationsignorabilityinverse probability weightinglikelihoodmissing at randommissing completely at randompseudo-likelihoodMULTIVARIATE BINARY DATAMISSING DATAREGRESSION-MODELSREPEATEDOUTCOMESRATI, Double robustnessfrequentist inferencegeneralized estimatingequationsignorabilityinverse probability weightinglikelihoodmissing at randommissing completely at randompseudo-likelihoodMULTIVARIATE BINARY DATAMISSING DATAREGRESSION-MODELSREPEATEDOUTCOMESRATI, Double robustnessfrequentist inferencegeneralized estimatingequationsignorabilityinverse probability weightinglikelihoodmissing at randommissing completely at randompseudo-likelihoodMULTIVARIATE BINARY DATAMISSING DATAREGRESSION-MODELSREPEATEDOUTCOMESRATI, Double robustnessfrequentist inferencegeneralized estimatingequationsignorabilityinverse probability weightinglikelihoodmissing at randommissing completely at randompseudo-likelihoodMULTIVARIATE BINARY DATAMISSING DATAREGRESSION-MODELSREPEATEDOUTCOMESRATI, Double robustnessfrequentist inferencegeneralized estimatingequationsignorabilityinverse probability weightinglikelihoodmissing at randommissing completely at randompseudo-likelihoodMULTIVARIATE BINARY DATAMISSING DATAREGRESSION-MODELSREPEATEDOUTCOMESRATI, Double robustnessfrequentist inferencegeneralized estimatingequationsignorabilityinverse probability weightinglikelihoodmissing at randommissing completely at randompseudo-likelihoodMULTIVARIATE BINARY DATAMISSING DATAREGRESSION-MODELSREPEATEDOUTCOMESRATI, Double robustnessfrequentist inferencegeneralized estimatingequationsignorabilityinverse probability weightinglikelihoodmissing at randommissing completely at randompseudo-likelihoodMULTIVARIATE BINARY DATAMISSING DATAREGRESSION-MODELSREPEATEDOUTCOMESRATI, Double robustnessfrequentist inferencegeneralized estimatingequationsignorabilityinverse probability weightinglikelihoodmissing at randommissing completely at randompseudo-likelihoodMULTIVARIATE BINARY DATAMISSING DATAREGRESSION-MODELSREPEATEDOUTCOMESRATI, Double robustnessfrequentist inferencegeneralized estimatingequationsignorabilityinverse probability weightinglikelihoodmissing at randommissing completely at randompseudo-likelihoodMULTIVARIATE BINARY DATAMISSING DATAREGRESSION-MODELSREPEATEDOUTCOMESRATI, Double robustnessfrequentist inferencegeneralized estimatingequationsignorabilityinverse probability weightinglikelihoodmissing at randommissing completely at randompseudo-likelihoodMULTIVARIATE BINARY DATAMISSING DATAREGRESSION-MODELSREPEATEDOUTCOMESRATI, Double robustnessfrequentist inferencegeneralized estimatingequationsignorabilityinverse probability weightinglikelihoodmissing at randommissing completely at randompseudo-likelihoodMULTIVARIATE BINARY DATAMISSING DATAREGRESSION-MODELSREPEATEDOUTCOMESRATI, Double robustnessfrequentist inferencegeneralized estimatingequationsignorabilityinverse probability weightinglikelihoodmissing at randommissing completely at randompseudo-likelihoodMULTIVARIATE BINARY DATAMISSING DATAREGRESSION-MODELSREPEATEDOUTCOMESRATI, Double robustnessfrequentist inferencegeneralized estimatingequationsignorabilityinverse probability weightinglikelihoodmissing at randommissing completely at randompseudo-likelihoodMULTIVARIATE BINARY DATAMISSING DATAREGRESSION-MODELSREPEATEDOUTCOMESRATI, Double robustnessfrequentist inferencegeneralized estimatingequationsignorabilityinverse probability weightinglikelihoodmissing at randommissing completely at randompseudo-likelihoodMULTIVARIATE BINARY DATAMISSING DATAREGRESSION-MODELSREPEATEDOUTCOMESRATI, Double robustnessfrequentist inferencegeneralized estimatingequationsignorabilityinverse probability weightinglikelihoodmissing at randommissing completely at randompseudo-likelihoodMULTIVARIATE BINARY DATAMISSING DATAREGRESSION-MODELSREPEATEDOUTCOMESRATI, Double robustnessfrequentist inferencegeneralized estimatingequationsignorabilityinverse probability weightinglikelihoodmissing at randommissing completely at randompseudo-likelihoodMULTIVARIATE BINARY DATAMISSING DATAREGRESSION-MODELSREPEATEDOUTCOMESRATI, Double robustnessfrequentist inferencegeneralized estimatingequationsignorabilityinverse probability weightinglikelihoodmissing at randommissing completely at randompseudo-likelihoodMULTIVARIATE BINARY DATAMISSING DATAREGRESSION-MODELSREPEATEDOUTCOMESRATI, Double robustnessfrequentist inferencegeneralized estimatingequationsignorabilityinverse probability weightinglikelihoodmissing at randommissing completely at randompseudo-likelihoodMULTIVARIATE BINARY DATAMISSING DATAREGRESSION-MODELSREPEATEDOUTCOMESRATI, Double robustnessfrequentist inferencegeneralized estimatingequationsignorabilityinverse probability weightinglikelihoodmissing at randommissing completely at randompseudo-likelihoodMULTIVARIATE BINARY DATAMISSING DATAREGRESSION-MODELSREPEATEDOUTCOMESRATI, Double robustnessfrequentist inferencegeneralized estimatingequationsignorabilityinverse probability weightinglikelihoodmissing at randommissing completely at randompseudo-likelihoodMULTIVARIATE BINARY DATAMISSING DATAREGRESSION-MODELSREPEATEDOUTCOMESRATI, Double robustnessfrequentist inferencegeneralized estimatingequationsignorabilityinverse probability weightinglikelihoodmissing at randommissing completely at randompseudo-likelihoodMULTIVARIATE BINARY DATAMISSING DATAREGRESSION-MODELSREPEATEDOUTCOMESRATI, Double robustnessfrequentist inferencegeneralized estimatingequationsignorabilityinverse probability weightinglikelihoodmissing at randommissing completely at randompseudo-likelihoodMULTIVARIATE BINARY DATAMISSING DATAREGRESSION-MODELSREPEATEDOUTCOMESRATI, Double robustnessfrequentist inferencegeneralized estimatingequationsignorabilityinverse probability weightinglikelihoodmissing at randommissing completely at randompseudo-likelihoodMULTIVARIATE BINARY DATAMISSING DATAREGRESSION-MODELSREPEATEDOUTCOMESRATI, Double robustnessfrequentist inferencegeneralized estimatingequationsignorabilityinverse probability weightinglikelihoodmissing at randommissing completely at randompseudo-likelihoodMULTIVARIATE BINARY DATAMISSING DATAREGRESSION-MODELSREPEATEDOUTCOMESRATI, Double robustnessfrequentist inferencegeneralized estimatingequationsignorabilityinverse probability weightinglikelihoodmissing at randommissing completely at randompseudo-likelihoodMULTIVARIATE BINARY DATAMISSING DATAREGRESSION-MODELSREPEATEDOUTCOMESRATI, Double robustnessfrequentist inferencegeneralized estimatingequationsignorabilityinverse probability weightinglikelihoodmissing at randommissing completely at randompseudo-likelihoodMULTIVARIATE BINARY DATAMISSING DATAREGRESSION-MODELSREPEATEDOUTCOMESRATI, Double robustnessfrequentist inferencegeneralized estimatingequationsignorabilityinverse probability weightinglikelihoodmissing at randommissing completely at randompseudo-likelihoodMULTIVARIATE BINARY DATAMISSING DATAREGRESSION-MODELSREPEATEDOUTCOMESRATI, Double robustnessfrequentist inferencegeneralized estimatingequationsignorabilityinverse probability weightinglikelihoodmissing at randommissing completely at randompseudo-likelihoodMULTIVARIATE BINARY DATAMISSING DATAREGRESSION-MODELSREPEATEDOUTCOMESRATI, Double robustnessfrequentist inferencegeneralized estimatingequationsignorabilityinverse probability weightinglikelihoodmissing at randommissing completely at randompseudo-likelihoodMULTIVARIATE BINARY DATAMISSING DATAREGRESSION-MODELSREPEATEDOUTCOMESRATI, Double robustnessfrequentist inferencegeneralized estimatingequationsignorabilityinverse probability weightinglikelihoodmissing at randommissing completely at randompseudo-likelihoodMULTIVARIATE BINARY DATAMISSING DATAREGRESSION-MODELSREPEATEDOUTCOMESRATI, Double robustnessfrequentist inferencegeneralized estimatingequationsignorabilityinverse probability weightinglikelihoodmissing at randommissing completely at randompseudo-likelihoodMULTIVARIATE BINARY DATAMISSING DATAREGRESSION-MODELSREPEATEDOUTCOMESRATI, Double robustnessfrequentist inferencegeneralized estimatingequationsignorabilityinverse probability weightinglikelihoodmissing at randommissing completely at randompseudo-likelihoodMULTIVARIATE BINARY DATAMISSING DATAREGRESSION-MODELSREPEATEDOUTCOMESRATI, Double robustnessfrequentist inferencegeneralized estimatingequationsignorabilityinverse probability weightinglikelihoodmissing at randommissing completely at randompseudo-likelihoodMULTIVARIATE BINARY DATAMISSING DATAREGRESSION-MODELSREPEATEDOUTCOMESRATI, Double robustnessfrequentist inferencegeneralized estimatingequationsignorabilityinverse probability weightinglikelihoodmissing at randommissing completely at randompseudo-likelihoodMULTIVARIATE BINARY DATAMISSING DATAREGRESSION-MODELSREPEATEDOUTCOMESRATI, Double robustnessfrequentist inferencegeneralized estimatingequationsignorabilityinverse probability weightinglikelihoodmissing at randommissing completely at randompseudo-likelihoodMULTIVARIATE BINARY DATAMISSING DATAREGRESSION-MODELSREPEATEDOUTCOMESRATI, Double robustnessfrequentist inferencegeneralized estimatingequationsignorabilityinverse probability weightinglikelihoodmissing at randommissing completely at randompseudo-likelihoodMULTIVARIATE BINARY DATAMISSING DATAREGRESSION-MODELSREPEATEDOUTCOMESRATI, Double robustnessfrequentist inferencegeneralized estimatingequationsignorabilityinverse probability weightinglikelihoodmissing at randommissing completely at randompseudo-likelihoodMULTIVARIATE BINARY DATAMISSING DATAREGRESSION-MODELSREPEATEDOUTCOMESRATI, Double robustnessfrequentist inferencegeneralized estimatingequationsignorabilityinverse probability weightinglikelihoodmissing at randommissing completely at randompseudo-likelihoodMULTIVARIATE BINARY DATAMISSING DATAREGRESSION-MODELSREPEATEDOUTCOMESRATI, Double robustnessfrequentist inferencegeneralized estimatingequationsignorabilityinverse probability weightinglikelihoodmissing at randommissing completely at randompseudo-likelihoodMULTIVARIATE BINARY DATAMISSING DATAREGRESSION-MODELSREPEATEDOUTCOMESRATI, Double robustnessfrequentist inferencegeneralized estimatingequationsignorabilityinverse probability weightinglikelihoodmissing at randommissing completely at randompseudo-likelihoodMULTIVARIATE BINARY DATAMISSING DATAREGRESSION-MODELSREPEATEDOUTCOMESRATI, Double robustnessfrequentist inferencegeneralized estimatingequationsignorabilityinverse probability weightinglikelihoodmissing at randommissing completely at randompseudo-likelihoodMULTIVARIATE BINARY DATAMISSING DATAREGRESSION-MODELSREPEATEDOUTCOMESRATI, Double robustnessfrequentist inferencegeneralized estimatingequationsignorabilityinverse probability weightinglikelihoodmissing at randommissing completely at randompseudo-likelihoodMULTIVARIATE BINARY DATAMISSING DATAREGRESSION-MODELSREPEATEDOUTCOMESRATI, Double robustnessfrequentist inferencegeneralized estimatingequationsignorabilityinverse probability weightinglikelihoodmissing at randommissing completely at randompseudo-likelihoodMULTIVARIATE BINARY DATAMISSING DATAREGRESSION-MODELSREPEATEDOUTCOMESRATI, Double robustnessfrequentist inferencegeneralized estimatingequationsignorabilityinverse probability weightinglikelihoodmissing at randommissing completely at randompseudo-likelihoodMULTIVARIATE BINARY DATAMISSING DATAREGRESSION-MODELSREPEATEDOUTCOMESRATI, Double robustnessfrequentist inferencegeneralized estimatingequationsignorabilityinverse probability weightinglikelihoodmissing at randommissing completely at randompseudo-likelihoodMULTIVARIATE BINARY DATAMISSING DATAREGRESSION-MODELSREPEATEDOUTCOMESRATI, Double robustnessfrequentist inferencegeneralized estimatingequationsignorabilityinverse probability weightinglikelihoodmissing at randommissing completely at randompseudo-likelihoodMULTIVARIATE BINARY DATAMISSING DATAREGRESSION-MODELSREPEATEDOUTCOMESRATI, Double robustnessfrequentist inferencegeneralized estimatingequationsignorabilityinverse probability weightinglikelihoodmissing at randommissing completely at randompseudo-likelihoodMULTIVARIATE BINARY DATAMISSING DATAREGRESSION-MODELSREPEATEDOUTCOMESRATI, Double robustnessfrequentist inferencegeneralized estimatingequationsignorabilityinverse probability weightinglikelihoodmissing at randommissing completely at randompseudo-likelihoodMULTIVARIATE BINARY DATAMISSING DATAREGRESSION-MODELSREPEATEDOUTCOMESRATI, Double robustnessfrequentist inferencegeneralized estimatingequationsignorabilityinverse probability weightinglikelihoodmissing at randommissing completely at randompseudo-likelihoodMULTIVARIATE BINARY DATAMISSING DATAREGRESSION-MODELSREPEATEDOUTCOMESRATI, Double robustnessfrequentist inferencegeneralized estimatingequationsignorabilityinverse probability weightinglikelihoodmissing at randommissing completely at randompseudo-likelihoodMULTIVARIATE BINARY DATAMISSING DATAREGRESSION-MODELSREPEATEDOUTCOMESRATI, Double robustnessfrequentist inferencegeneralized estimatingequationsignorabilityinverse probability weightinglikelihoodmissing at randommissing completely at randompseudo-likelihoodMULTIVARIATE BINARY DATAMISSING DATAREGRESSION-MODELSREPEATEDOUTCOMESRATI, Double robustnessfrequentist inferencegeneralized estimatingequationsignorabilityinverse probability weightinglikelihoodmissing at randommissing completely at randompseudo-likelihoodMULTIVARIATE BINARY DATAMISSING DATAREGRESSION-MODELSREPEATEDOUTCOMESRATI, Double robustnessfrequentist inferencegeneralized estimatingequationsignorabilityinverse probability weightinglikelihoodmissing at randommissing completely at randompseudo-likelihoodMULTIVARIATE BINARY DATAMISSING DATAREGRESSION-MODELSREPEATEDOUTCOMESRATI, Double robustnessfrequentist inferencegeneralized estimatingequationsignorabilityinverse probability weightinglikelihoodmissing at randommissing completely at randompseudo-likelihoodMULTIVARIATE BINARY DATAMISSING DATAREGRESSION-MODELSREPEATEDOUTCOMESRATI, Double robustnessfrequentist inferencegeneralized estimatingequationsignorabilityinverse probability weightinglikelihoodmissing at randommissing completely at randompseudo-likelihoodMULTIVARIATE BINARY DATAMISSING DATAREGRESSION-MODELSREPEATEDOUTCOMESRATI, Double robustnessfrequentist inferencegeneralized estimatingequationsignorabilityinverse probability weightinglikelihoodmissing at randommissing completely at randompseudo-likelihoodMULTIVARIATE BINARY DATAMISSING DATAREGRESSION-MODELSREPEATEDOUTCOMESRATI, Double robustnessfrequentist inferencegeneralized estimatingequationsignorabilityinverse probability weightinglikelihoodmissing at randommissing completely at randompseudo-likelihoodMULTIVARIATE BINARY DATAMISSING DATAREGRESSION-MODELSREPEATEDOUTCOMESRATI, Double robustnessfrequentist inferencegeneralized estimatingequationsignorabilityinverse probability weightinglikelihoodmissing at randommissing completely at randompseudo-likelihoodMULTIVARIATE BINARY DATAMISSING DATAREGRESSION-MODELSREPEATEDOUTCOMESRATI, Double robustnessfrequentist inferencegeneralized estimatingequationsignorabilityinverse probability weightinglikelihoodmissing at randommissing completely at randompseudo-likelihoodMULTIVARIATE BINARY DATAMISSING DATAREGRESSION-MODELSREPEATEDOUTCOMESRATI, Double robustnessfrequentist inferencegeneralized estimatingequationsignorabilityinverse probability weightinglikelihoodmissing at randommissing completely at randompseudo-likelihoodMULTIVARIATE BINARY DATAMISSING DATAREGRESSION-MODELSREPEATEDOUTCOMESRATI, Double robustnessfrequentist inferencegeneralized estimatingequationsignorabilityinverse probability weightinglikelihoodmissing at randommissing completely at randompseudo-likelihoodMULTIVARIATE BINARY DATAMISSING DATAREGRESSION-MODELSREPEATEDOUTCOMESRATI, Double robustnessfrequentist inferencegeneralized estimatingequationsignorabilityinverse probability weightinglikelihoodmissing at randommissing completely at randompseudo-likelihoodMULTIVARIATE BINARY DATAMISSING DATAREGRESSION-MODELSREPEATEDOUTCOMESRATI
Faculty and Department: Faculty of Epidemiology and Population Health > Dept of Medical Statistics
Research Centre: Centre for Statistical Methodology
Web of Science ID: 287434900009
URI: http://researchonline.lshtm.ac.uk/id/eprint/1222

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