Finite Mixture Regression Models for Stratified Sample

• Activity Number: 185 - Contributed Poster Presentations: IMS
• Type: Contributed
• Date/Time: Monday, July 29, 2019 : 10:30 AM to 12:20 PM
• Sponsor: IMS
• Author(s): Abdelbaset Abdalla* and Semhar Michael
• Companies: South Dakota State University and South Dakota State University

Abstract

Despite the popularity and importance there is limited work on modeling data which come from complex survey design using finite mixture models. In this work, we explored the use of finite mixture regression models when the samples were drawn using a complex survey design. In particular, we considered modeling data collected based on stratified sampling design. We developed a new design-based inference where we integrated sampling weights in the complete-data log-likelihood function. The expectation-maximization algorithm was developed accordingly. A simulation study was conducted to compare the new methodology with the usual finite mixture of a regression model. The comparison was done using bias-variance components of mean square error. Additionally, a simulation study was conducted to assess the ability of the Bayesian information criterion to select the optimal number of components under the proposed modeling approach. The methodology was0 implemented on real data with good results.