Multiple Regression Analysis for Dynamics of Patient Volumes

Communications in Statistics - Simulation and Computation, DOI: 10.1080/03610918.2019.1704419, 2020

Posted: 27 Mar 2020

See all articles by Ahmet Duran

Ahmet Duran

Istanbul Technical University, Department of Mathematical Engineering; University of Michigan at Ann Arbor

Mohammed Farrukh

Department of Medical Center Information Technology, University of Michigan Health System

Date Written: January 3, 2020

Abstract

We study a real data set of 7,894,947 patients who received service from the University of Michigan Health System (UMHS) from January 1, 2003 to December 31, 2008 using regression analysis to understand the dynamics of patient volume. Our objective is to find out patterns from time series of patient volume during economic crisis. We propose a contribution adjusted formula to understand the dynamics of a heterogeneous customer population. We find that the trend of patient volume for a health system is positively correlated to the trend of the underlying adjusted resident population and to the GDP rates and negatively correlated to annual unemployment rate. We also find that the percent change of patient volume in a health system depends on the threshold level curves of resident population and unemployment rate with nonlinear behavior. Our multiple regression model with quadratic response surface explains 98.9% of the variation. Moreover, the multiple regression model having lag 1 with interaction term explains 96.5% of the variation. Furthermore, we propose several models having dummy variables using localities for patient groups. Overall, our results suggest that people use more health services when they have enough income, job and health insurance.

Keywords: dummy variable model, economic crisis, health economics, health system, information systems, multiple regression model, patient volume, population, quadratic response surface, system dynamics, time series, unemployment

JEL Classification: I11, E24, C02, C22, C5, G01, R13, R15, R23

Suggested Citation

Duran, Ahmet and Farrukh, Mohammed, Multiple Regression Analysis for Dynamics of Patient Volumes (January 3, 2020). Communications in Statistics - Simulation and Computation, DOI: 10.1080/03610918.2019.1704419, 2020 , Available at SSRN: https://ssrn.com/abstract=3548015

Ahmet Duran (Contact Author)

Istanbul Technical University, Department of Mathematical Engineering ( email )

Ayazaga Kampusu
Fen Edebiyat Fakultesi
─░stanbul
Turkey

HOME PAGE: http://web.itu.edu.tr/aduran

University of Michigan at Ann Arbor ( email )

500 S. State Street
Ann Arbor, MI 48109
United States

Mohammed Farrukh

Department of Medical Center Information Technology, University of Michigan Health System ( email )

Ann Arbor, MI
United States

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