Closed-form estimates for missing counts in multidimensional incomplete tables

Authors : Sayan Ghosh, Palaniappan Vellaisamy

Pages : 803-822

Doi:10.15672/hujms.1216921

View : 88 | Download : 139

Publication Date : 2024-06-27

Article Type : Research Paper

Abstract :A useful technique for analyzing incomplete tables is to model the missing data mechanisms of the variables using log-linear models. In this paper, we use log-linear parametrization and propose estimation methods for arbitrary three-way and $n$-dimensional incomplete tables. All possible cases in which data on one or more of the variables may be missing are considered. We provide simple closed form estimates of expected cell counts and parameters for the various missing data models. We also obtain explicit boundary estimates under nonignorable nonresponse models. Finally, a real-life dataset is analyzed to illustrate our results for modelling and estimation in multidimensional incomplete tables.
Keywords : Incomplete tables, ML estimation, Boundary solutions, Log linear models, NMAR models, Incomplete tables, ML estimation, Boundary solutions, Boundary solutions, Log linear models, NMAR models