Special Event

Joint Presentation with the Department of Statistics

DATE: April 7, 2017
TIME: 2:00 - 3:00 pm
LOCATION: Sequoia 200, Dept of Statistics
TITLE: Surrogate Residuals: A Little Thing to Pick Up
SPEAKER: Heping Zhang
Susan Dwight Bliss Professor of Biostatistics
Yale University School of Public Health



Residual diagnostics is an important classroom topic in statistics. Nowadays, it only occasionally appears in a statistical journal or research publication, even when regression or association analyses of real data are critical to the findings and conclusions. Perhaps it is a topic we tend to gloss over; or perhaps it is a topic we know neither how to approach nor how to circumvent. The latter is probably closer to reality in the context of logistic regression, and even more so when there is an ordinal-scaled outcome such as whether we feel sad, good, or great today. In this talk, I will attempt to draw attention to this topic, which in my own experience remains very important yet insufficiently treated in real data applications. Using a combination of classic and contemporary statistical techniques, I will introduce the concept of surrogate residuals, which appears informative and useful in residual diagnosis of regression models involving categorical outcomes, including logistic regression. This will be supported in theory, simulation, and real data analysis.

This work is a collaboration with Dr. Dungang Liu, Assistant Professor of Business Analytics at Carl H. Lindner College of Business, University of Cincinnati .