Accounting for Complex Sample Designs in Multiple Imputation Using the Finite Population Bayesian Bootstrap.

Show simple item record Zhou, Hanzhi en_US 2014-10-13T18:19:15Z NO_RESTRICTION en_US 2014-10-13T18:19:15Z 2014 en_US 2014 en_US
dc.description.abstract Multiple imputation (MI) is a well-established method to handle item-nonresponse in sample surveys. Survey data obtained from complex sampling designs often involve features that include unequal probability of selection, clustering and stratification. Because sample design features are frequently related to survey outcomes of interest, the theory of MI requires including them in the imputation model to reduce the risks of model misspecification and hence to avoid biased inference. However, in practice multiply-imputed datasets from complex sample designs are typically imputed under simple random sampling assumptions and then analyzed using methods that account for the design features. Less commonly-used alternatives such as including case weights and/or dummy variables for strata and clusters as predictors typically require interaction terms for more complex estimators such as regression coefficients, and can be vulnerable to model misspecification and difficult to implement. We develop a simple two-step MI framework that accounts for complex sample designs using a weighted finite population Bayesian bootstrap (FPBB) method to generate draws from the posterior predictive distribution of the population. Imputations may then be performed assuming IID data. We propose different variations of the weighted FPBB for different sampling designs, and evaluate these methods using three studies. Simulation results show that the proposed methods have good frequentist properties and are robust to model misspecification compared to alternative approaches. We apply the proposed method to accommodate missing data in the Behavioral Risk Factor Surveillance System, the National Automotive Sampling System and the National Health and Nutrition Examination Survey III when estimating means, quantiles and a variety of model parameters. en_US
dc.language.iso en_US en_US
dc.subject Multiple Imputation en_US
dc.title Accounting for Complex Sample Designs in Multiple Imputation Using the Finite Population Bayesian Bootstrap. en_US
dc.type Thesis en_US
dc.description.thesisdegreename PhD en_US
dc.description.thesisdegreediscipline Survey Methodology en_US
dc.description.thesisdegreegrantor University of Michigan, Horace H. Rackham School of Graduate Studies en_US
dc.contributor.committeemember Elliott, Michael R. en_US
dc.contributor.committeemember Raghunathan, Trivellore E. en_US
dc.contributor.committeemember Little, Roderick J. en_US
dc.contributor.committeemember Valliant, Richard L. en_US
dc.contributor.committeemember West, Brady Thomas en_US
dc.subject.hlbsecondlevel Statistics and Numeric Data en_US
dc.subject.hlbtoplevel Social Sciences en_US
dc.owningcollname Dissertations and Theses (Ph.D. and Master's)
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