A Platform based on Multiple Regression to Estimate
the Effect of in-Hospital Events on Total Charges
Dimitrios Zikos
Department of Health Administration
Central Michigan University
Mt. Pleasant, MI, United States
zikos1d@cmich.edu
Dhanashri Ostwal
Computer Science and Engineering Department
University of Texas at Arlington
Arlington, TX, United States
dh
anashrivilas.ostwal@mavs.uta.edu
Abstract—Recently hospitals struggle to control the cost of care
while maintaining optimal outcomes. To respond to this challenge,
we developed an interactive web platform which utilizes a multiple
linear regression model. The user can c
reate
and furthermore
alter a clinical scenario, during a patient hospitalization to see the
dynamic prediction of total charges, via interactive sessions. The
R2value of our model is 0.655 and the standard error of the
estimate is $38,732. Predictors with high coefficient scores include
the
cardioverter implantation, mechanical venti
lation, implant of
pulsation balloon and hospital-acquired conditions such as
staphylococcus aureus septicemia. Our findings indicate that (a)
integration of predictive models into clinical decision support
systems is feasible and use of regression methods provide direct
feedback on the effect of any clinical practice to the in-hospital
charges (b) medical claims data can provide a useful estimation of
the in-hospital charges (c) hospital acquired conditions have
significant impact on the in-hospital charges.
Keywords—total charges; multiple linear regression; prediction;
decision making
I. INTRODUCTION
Hospitals
in the United States
are in a constant effort to
provide high-quality services without undergoing unneeded
procedures. There is a need of maintaining a balance between
optimal health outcomes and the cost of the provided care. Novel
practices and therapeutic methods are being introduced into the
clinical practice, hospitals purchase new equipment and capacity
to provide modern services, often with important amortization
considerations to be made during budgeting. Increased health
care costs have not necessarily led to improved outcomes.
According to the American Hospital Association, overdiagnosis
and overuse of treatments have increased health care costs with
barely any improvement in health outcomes [1]. While there is
a lot of research associating nursing and quality of care, very
little has been done on the impact that clinical and nursing
practices have, to the cost of care and the total charges of an in-
hospital stay [2].
At the same time, we recognize an unmet need for services
that provide dynamic, individualized estimations of the effect of
clinical interventions to in-hospital charges, during the clinical
practice. Such a dynamic estimation
would not only provide
an
insight on the projected financial burden of the hospital stay, but
it could also be used to drive decisions via the interaction of
therapists with clinical decision support systems which integrate
the aforementioned functionality.
It is not uncommon for multiple regression techniques to
model the cost as a function of covariates that are observed in
the patients. The estimated beta coefficients have been reported
to provide an estimat
ion of
the total cost for each admission case
[3]. Generalized Linear Models have also been used in the past
for the cost of care estimation [4]. In another case, researchers
utilized data from stroke patients and used DRGs, and other
hospital variables in order to construct a regression model which
explained a 61% of the cost of care variance [5]. Cost prediction
models are often driven by limitations related with the non
availability of features which would help explain a higher
percentage of the variability. In [6], researchers used hospital
admission information and their model could explain a rather
small ratio of the total charges variance, which was no higher
than 34%.
In the case of the Intensive Care Unit (ICU) cost estimation,
Moran et al. [7] used a combination of ICU activ
ity indices and
severity scores for cost prediction. In a similar work by
Ramianira et al. [8] researchers estimated the costs and then used
a standard linear regression model to correlate cost units and
their predictors. The study identified as importation predictors,
the patient gender and age, the admission type
(urgency/elective), ICU admission, blood transfusion, the
admission outcome (death/no death), the complexity of medical
procedures, and a risk-adjustment index. Researchers from MIT
presented an algorithmic approach to predict the cost of care [9]
by utilizing classification trees and clustering algorithms on
claims data from more than 800,000 patients. The authors of this
study stressed the limitations of using the R2value as the primary
evaluator of the prediction accuracy.
The majority of the aforementioned studies have used
regression methods to pre
dict the cost of care and have
approached the problem in a conventional statistical manner.
There are no research examples in the literature, though, of
efforts to integrate predictive models into decision support
systems which can be used by the hospital administration and
clinicians in an interactive manner, during the course of the
healthcare provision. To respond to this unmet need, we first
developed and
evaluated
a multiple linear regression model and
then we integrated the model into an interactive web interface,
which provides direct feedback to the hospital administration
and to clinicians. During the clinical care, users are presented
with an estimation of the total charges based on the selection of
their preferred attributes of clinical care. Subsequently, they can
2016 IEEE International Conference on Healthcare Informatics
978-1-5090-6117-4/16 $31.00 © 2016 IEEE
DOI 10.1109/ICHI.2016.72
403
alter any attribute value to see the effect of such a change to the
cost of care, and overview a comparison of consecutive runs.
There are many levels of interest and a variety of possible use
case scenarios; The hospital administration would be provided
with a realistic snapshot of the total charges per patient as well
as per unit. Clinicians, being members of the hospital team,
would extend to the strategic goals of the hospitals since they
would have available tools assisting them to make important
cost-benefit considerations, during the clinical practice.
The contribution and importance of our study is the
introduction of an online platform, which is built around a
reasonably performing regression model, rendering the system
easy to use without any prior in-depth understanding of
statistics, and providing direct meaningful feedback
hospital
administrators and clinicians.
The paper is organized as follows: Section II describes the
data that we used for the development of our platform and the
preprocessing. Section III provides detailed information on the
training and the performance of the predictive model. Finally,
Section IV presents the architecture and functionality of the web
platform and an example use-case scenario.
II. DATA SELECTION AND PREPARATION
A. Description of the Data
B. Data Preprocessing
To facilitate the estimation of the cost of care with the use
multiple linear regression (MLR), we transformed the dataset to
a sparse data file by computing multiple binary attributes for the
unique values of the original dataset. The categories for all non-
ordinary nominal attributes were transformed to new binary
attributes, essentially describing the existence (value=1) or non-
existence (value=0) of a diagnosis, a medical procedure, or a
hospital-acquired condition (HAC), acting like a switch. These
binary attributes are going to be used as our features to predict
the total charges (dependent variable). The user will know the
impact of a change of an attribute value to the total charges, by
observing the beta coefficient of the attribute. In a linear
regression equation, the beta coefficient of any attribute is equal
to the units of change to the d
ependent variable (in our case the
total charges) when the value of that attribute increases by one
unit.
We removed from the dataset any attributes that would
normally be unavailable at the point of the decision, in a real
hospital context. The point of the decision can any time after the
admission and during the patient hospitalization. The attributes
we removed include the Diagnosis Related Groups (DRG) price,
the discharge destination, the discharge status, and all cost-
related attributes. We opted for the inclusion of the HACs since