Abstract

http://ssrn.com/abstract=1462554
 
 

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A Bayesian Hierarchical Regression Approach to Longitudinal Data in Empirical Legal Studies


William Anderson


Cornell University - School of Operations Research and Information Engineering

Martin T. Wells


Cornell University - School of Law

August 26, 2009


Abstract:     
The various forms of regression are a dominant feature of modern data analysis today. This is hardly surprising since the basic premises of regression are well understood in many different areas of research, and basic regression analysis is a standard component in many statistical software packages. However, researchers do not have to venture very far in their applications of regression analysis to run into trouble from a computational and modeling point of view. This is especially apparent when modeling longitudinal or repeated measures data using classical regression. We introduce a Bayesian hierarchical modeling approach to longitudinal data. These hierarchical models overcome many of the limitations of classical regression and are well suited to handle longitudinal data. The intuitive concepts of hierarchical models are introduced via the Donohue and Levitt (DL) abortion-crime data set, using the statistical software packages R and STATA. We show that when properly modeled, there is no empirical relationship between abortion and crime using the DL data set.

Number of Pages in PDF File: 25

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Date posted: August 27, 2009 ; Last revised: November 17, 2009

Suggested Citation

Anderson, William and Wells, Martin T., A Bayesian Hierarchical Regression Approach to Longitudinal Data in Empirical Legal Studies (August 26, 2009). Available at SSRN: http://ssrn.com/abstract=1462554 or http://dx.doi.org/10.2139/ssrn.1462554

Contact Information

William Anderson (Contact Author)
Cornell University - School of Operations Research and Information Engineering ( email )
414A Rhodes Hall
Ithaca, NY 14850
United States
607-254-4875 (Phone)
HOME PAGE: http://www.orie.cornell.edu
Martin T. Wells
Cornell University - School of Law ( email )
Comstock Hall
Ithaca, NY 14853
United States
607-255-8801 (Phone)
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