Medicine and Health Sciences Commons^™

Diagnostics And Model Selection For Generalized Linear Models And Generalized Estimating Equations, Chelsea Boquet Deroche

Theses and Dissertations

The use of generalized linear models and generalized estimating equations in the public health and medical fields are important tools for research, specifically for modeling clinical trials, evaluating preventive measures, and secondary data analysis. It is important for these researchers to have the necessary tools to analyze and model their data correctly. This dissertation focuses on a penalized maximum likelihood estimation method for generalized linear models, measures of association such as the coefficient of determination and R² for generalized estimating equations, and a modified quasi-likelihood information criterion for generalized estimation equations.

Common problems that arise during estimation of generalized …

Cluster Analysis With Batch Effect, Yifan Tang

Theses and Dissertations

Clustering, as a fundamental process in data science, is frequently used in preliminary data analysis. Batch effects are a powerful source of variation that can come from many sources in data collection, and influence data. We propose a method to simultaneously remove batch effects and perform cluster analysis. We see a batch effect as a fixed value added on to each batch, and do not make assumptions about the distribution of batch effects. We represent the data using a Gaussian mixture model, and use the EM algorithm to estimate the cluster means, the cluster covariance matrices, and the batch effects, …