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Open Access. Powered by Scholars. Published by Universities.®

Statistics and Probability

University at Albany, State University of New York

Theses/Dissertations

2021

Missing data

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Full-Text Articles in Physical Sciences and Mathematics

Conditional And Marginal Imputation Models For Multilevel Data, Gang Liu Aug 2021

Conditional And Marginal Imputation Models For Multilevel Data, Gang Liu

Legacy Theses & Dissertations (2009 - 2024)

This dissertation study extends sequential hierarchical regression imputation (SHRIMP) methods to multilevel datasets with three levels of nesting and proposes a marginal method based on marginalized multilevel model (MMM) framework. Specifically, the proposed model consists of two levels such that the first level relates the marginal mean of responses with covariates through a generalized regression model and the second level includes subject specific random effects within the same generalized regression model. To draw the inference on the population-averaged or subject-specified coefficients, the hierarchical regression and/or MMM is applied as the imputation and estimation models. We employ Markov Chain Monte Carlo …