Healthcare Analytics 3 (2023) 100137
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Healthcare Analytics
journal homepage: www.elsevier.com/locate/health
A double bootstrap data envelopment analysis model for evaluating malaria
spending efficiency in Sub-Saharan Africa
Kwadwo Arhin
a,∗
, Albert Opoku Frimpong
b
, Richard Boso
c
, Kwame Acheampong
d
a
Ghana Institute of Management and Public Administration, Department of Economics, Accra, Ghana
b
University of Professional Studies, Department of Banking and Finance, Accra, Ghana
c
Ghana Institute of Management and Public Administration, Department of Operations Management, Accra, Ghana
d
Akenten Appiah-Menka University of Skills Training and Entrepreneurial Development, Kumasi, Ghana
ARTICLE INFO
Keywords:
Data envelopment analysis
Double bootstrap
Malaria spending efficiency
Environmental factors
Sub-Saharan Africa
ABSTRACT
Malaria is a major cause of morbidity and mortality in many countries in sub-Saharan Africa. The main
objective of this study was to examine malaria spending efficiency and its associated factors in sub-Saharan
Africa by employing a two-stage double bootstrap data envelopment analysis (DEA). In the first stage, technical
efficiency scores are estimated using the output-oriented variable returns to the scale (VRS) framework. In the
second stage, the double bootstrap DEA model is used to identify the environmental variables that affect
malaria spending efficiency. We estimate the overall malaria spending efficiency score over the study period.
This estimate suggests that malaria treatment and prevention outcomes can improve significantly. We find a
significant association between efficiency and education, temperature levels, nurses’ and midwives’ density, and
the proportion of children of age five who slept in insecticide-treated bed nets. We conclude that policymakers
must not only be concerned with improving educational outcomes but also consider ways to mitigate the effects
of climate change and improve access to healthcare services.
1. Introduction
Malaria remains a major cause of morbidity and mortality in many
countries in Sub-Saharan Africa (SSA) [1]. Approximately 93 percent
of all malaria cases and 94 percent of malaria-related deaths occur
in the region [2] with more than 55 percent of the estimated 241
million cases globally in 2020 being accounted for by six countries:
Nigeria (27%), Democratic Republic of Congo (12%), Uganda (5%),
Mozambique (4%), Angola (3.4%), and Burkina Faso (3.4%). Children
below the age of five years accounted for 77% of the total estimated
627,868 (95% uncertainty range: 583,000–765,000) malaria deaths
globally in 2020 alone [3].
More than two decades ago, the World Health Organization (WHO)
in partnership with the United Nations Children’s Fund (UNICEF), the
United Nations Development Programme (UNDP), and the World Bank
(WB) launched the Roll Back Malaria (RBM) program in 1998. The
target of the RBM program was to help halve the enormous malaria
burden on the health of people and economies from 2000 to 2010
and a further half reduction from 2010 to 2015 [4]. In the era of the
Millennium Development Goals (MDGs), a target was set to reduce the
Abbreviations: DALYs, Disability-Adjusted Life Years; DALE, Disability-Adjusted Life Expectancy; DEA, Data Envelopment Analysis; GDP, Gross Domestic
Product; HALE, Health-Adjusted Life Expectancy; SFA, Stochastic Frontier Analysis; WMR, World Malaria Report
∗
Corresponding author.
E-mail addresses: kwarhin@gimpa.edu.gh (K. Arhin), frimpongao@gmail.com (A.O. Frimpong), rboso@gimpa.edu.gh (R. Boso),
Kwame.74.acheampong@gmail.com (K. Acheampong).
incidence of malaria by 2015 [5]. In line with the current Sustainable
Development Goals (SDGs), the targets are to reduce malaria incidence
and mortality by 90% and eliminate malaria in at least 35 malaria-
endemic countries by 2030 from the 2015 baseline [6,7]. Despite a
reduction in the malaria incidence rate from 368 to 222 cases per 1000
populations at risk in the WHO African Region between 2000 and 2019,
the progress falls short of the improvements needed to meet the targets
set by the WHO in the Global Technical Strategy for malaria 2016–2030
(GTS) and Sustainable Development Goals target 3.3 [3,7,8].
Globally, increasing amounts of resources are being expended on
malaria control and elimination. In 2020 alone, US$3.3 billion was
invested in combating this plague of which 79 percent went to countries
in the WHO African Region. A third of this amount was contributions
from the governments of the malaria-endemic countries [9]. Though
the US$3.3 billion invested in 2020 represents a 10 percent increase
over the 2019 figure, it fell short of the annual investment of US$6.8
billion (or US$3.90 per person at risk of malaria) estimated to be
required globally to achieve the targets set out in the Global Technical
Strategy for malaria 2016–2030 (GTS) [7,9,10]. Again, the SSA region
faces the risk of declining external financing due to its economic growth
https://doi.org/10.1016/j.health.2023.100137
Received 24 May 2022; Received in revised form 11 December 2022; Accepted 11 January 2023
2772-4425/© 2023 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY-NC-ND license
(http://creativecommons.org/licenses/by-nc-nd/4.0/).