IJPAM: Volume 46, No. 4 (2008)


Mouchumi Bhattacharyya
Department of Mathematics
University of the Pacific
Stockton, CA 95211, USA
e-mail: mbhattac@pacific.edu

Abstract.Graft versus host disease (GVHD) is a complication that often arises after allogeneic bone marrow transplantations. There are two types of GVHD - acute and chronic. Using a proportional hazard regression model and data obtained from the international bone marrow transplant registry, we investigate the risks of the two diseases. We do so by comparing the hazard of death of a group of patients having one or both of the two diseases to the hazard of death of a control group of patients who do not have either of the two diseases. For the analysis involving chronic GVHD, we compare the results of the proportional hazard model to the results of a simple two population proportion hypothesis test problem and show how the conclusions differ in the two situations. Along the way we point out certain interesting aspects of the data, a few of which contradict some of the commonly believed notions about the two diseases.

Received: June 13, 2008

AMS Subject Classification: 62A00

Key Words and Phrases: hazard, survival, risk, censored, proportional, transplants

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2008
Volume: 46
Issue: 4