Statistics Ph.D. Dissertation Defense - Rimli Sengupta

This 2024 Dissertation Defense will be held on Wednesday July 31, from 9:45 a.m. to 11:45 a.m. with Rimli Sengupta. This event will be hybrid. The event will be held in person in WEL 5.204. If you need the Zoom link, please email stat.admin@austin.utexas.edu.
 

Title: Semi-Parametric Generalized Linear Models in Novel Analytical Contexts

Advisor: Paul Rathouz

Abstract: My research focuses on the exploration of Semi-Parametric Generalized Linear Models (SPGLM) in a variety of novel scenarios. In the first part, we assess SPGLM's effectiveness with ordinal response data. A simulation study is conducted to quantify deviations between the data-generating mechanism (DGM) and the SPGLM. The second part focuses on continuous response variables. We examine two scenarios: one where the DGM aligns with SPGLM and another where it significantly deviates. Performance is assessed using permutation tests and scan statistics. Through various diagnostics, simulation studies, and the careful selection of conditions, we comprehensively understand the model’s strengths and limitations. This includes generating synthetic data, performing detailed analyses, and interpreting results.