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August 2018
This publication was produced for review by the United States Agency for International Development.
It was prepared by Claire Jones and Tesfaye Ashagari for the Health Finance and Governance Project.
ANALYZING THE TECHNICAL
EFFICIENCY OF PUBLIC
HOSPITALS IN NAMIBIA
The Health Finance and Governance Project
United States Agency for International Development’s Health Finance & Governance (HFG) project helps to
improve health in developing countries by expanding people’s access to health care. Led by Abt Associates, the
project team works with partner countries to increase their domestic resources for health, manage those precious
resources more effectively, and make wise purchasing decisions. As a result, this six-year, $209 million global
project increases the use of both primary and priority health services, including HIV/AIDS, tuberculosis, malaria,
and reproductive health services. Designed to fundamentally strengthen health systems, HFG supports countries as
they navigate the economic transitions needed to achieve universal health care.
August 2018
Cooperative Agreement No: AID-OAA-A-12-00080
Submitted to: Scott Stewart, AOR
Office of Health Systems
Bureau for Global Health
Recommended Citation: Jones, C.; Ashagari, T. August 2018. Analyzing the Technical Efficiency of Public
Hospitals in Namibia. Bethesda, MD: Health Finance & Governance Project, Abt Associates Inc.
Abt Associates Inc. | 6130 Executive Boulevard | Rockville, Maryland 20852
T: 301.347.5000 | F: 301.652.3916 | www.abtassociates.com
Avenir Health | Broad Branch Associates | Development Alternatives Inc. (DAI) |
| Johns Hopkins Bloomberg School of Public Health (JHSPH) | Results for Development Institute (R4D)
| RTI International | Training Resources Group, Inc. (TRG)
ANALYZING THE TECHNICAL
EFFICIENCY OF PUBLIC HOSPITALS IN
NAMIBIA
DISCLAIMER
The author’s views expressed in this publication do not necessarily reflect the views of the United
States Agency for International Development or the United States Government.
i
CONTENTS
Acronyms............................................................................................................iii
Acknowledgments...............................................................................................v
Executive Summary ..........................................................................................vii
1. Introduction...........................................................................................1
1.1 Background of the Study....................................................................................................1
1.2 Objectives of the Study......................................................................................................1
2. Methodology..........................................................................................3
2.1 Research Parameters..........................................................................................................3
2.2 Data Collection....................................................................................................................4
2.3 Data Cleaning and Analysis...............................................................................................4
2.4 Definitions of Different Efficiency Types.......................................................................6
2.5 Data Limitations...................................................................................................................6
3. Analysis of the efficiency results...........................................................7
3.1 Results of the Data Envelopment Analysis ...................................................................7
3.2 Qualitative Review of the Inefficiencies.......................................................................10
4. Conclusions and Recommendations ..................................................13
5. References ...........................................................................................15
ii
List of Tables
Table 1: Descriptive Statistics of Input and Output Variables ...............5
Table 2: Technical and Scale efficiency summary..................................7
Table 3: Potential Input Savings through Addressing Technical
Inefficiencies..................................................................................9
Table 4: Savings of Improved Efficiencies .............................................9
iii
ACRONYMS
AIDS Acquired Immunodeficiency Syndrome
DEA Data Envelopment Analysis
DRS Decreasing Returns to Scale
GRN Government of the Republic of Namibia
HFG Health Finance & Governance Project
HIV Human Immunodeficiency Virus
IRS Increasing Returns to Scale
MoHSS Namibia Ministry of Health and Social Services
UHC Universal Health Coverage
VRS Variable Returns to Scale
v
ACKNOWLEDGMENTS
This study was financed by the U.S. Government through the United States Agency for International
Development-funded Health Finance & Governance project.
The authors thank all those who contributed to this report. We would like to recognize the support
and commitment of the Ministry of Health and Social Services. We would particularly thank Mr. T.
Mbeeli, Mr. C. Usurua and Ms. J. Malule of the Policy Planning and Human Resource Directorate for
their relentless efforts in facilitating the study, supporting the data collection process, and providing
additional insights into the analyses of the data. We are further grateful to the Ministry of Health and
Social Services and all of the participating district and referral hospitals for providing the data and other
sources of essential information critical to the foundation of this study. Further thanks go to the hospital
staff that participated in the qualitative data collection process and were willing to provide us with their
valuable opinions and insights on the levels and causes of inefficiencies.
We would also like to thank Dr. Carlos Avila and Romana Haider for their support with the initial study
design and the data collection phase of the study. Further thanks go to the team that conducted visits to
the hospitals to collect outstanding data and facilitated interviews with the hospitals staff.
vii
EXECUTIVE SUMMARY
The achievement of universal health coverage (UHC) and the identification of sustainable health
financing options for the provision of health services are the key priorities of the Government of the
Republic of Namibia (GRN). In the context of the economic downturn in Namibia and the trend of
decreasing donor resources as a result of Namibia’s classification as an upper-middle-income country,
the reprioritization and efficient use of resources to create fiscal space in the Namibia Ministry of Health
and Social Services (MoHSS) budget have become critical measures to facilitate the continued provision
of priority health interventions, including Human Immunodeficiency Virus (HIV) programs and services,
without jeopardizing long-term sustainability. Since hospitals consume a significant portion of Namibia’s
total health budget, with 59 percent of public health expenditures being spent at government hospitals
alone (2016/17), hospitals are central to achieving improved efficiencies in the public health sector. The
objective of this activity was to identify ways of expanding Namibia’s fiscal space for health and HIV
through technical efficiency gains at district hospitals in the country.
The study collected cost and output data for the financial year 2014/15 from all of the 29 district
hospitals and 5 referral hospitals. Data Envelopment Analysis (DEA) was used to calculate hospital
efficiency scores and benchmark the hospitals relative to the group’s observed best practice. The DEA
was performed using an “input orientation,” since the district and referral hospitals in Namibia have
limited control over the outputs they produce. The analyses therefore show how savings can be
achieved by using the inputs more efficiently (i.e., fewer inputs) to generate the same outputs. In order
to assess the scale efficiency of the hospitals, an assumption of VRS was used in the analyses since the
district and referral hospitals included in the study are not considered to be operating at an optimum
scale. Interviews were conducted with key staff of selected hospitals to complement the quantitative
data collected.
Fifty-two percent of the hospitals included in this study were found to be technically inefficient, which
means that they could improve their operations in order to be more efficient. The mean technical
efficiency score for these inefficient hospitals was 81 percent, which means that overall efficiency savings
of 19 percent on inputs could be realized without affecting the output levels.
In terms of scale efficiency, the vast majority of hospitals had a scale efficiency score of less than 100
percent, with a mean scale efficiency score of 71 percent. This implies that the input–output mix in
these hospitals is inefficient. Most of the scale-inefficient hospitals showed increasing returns to scale
(IRS), which means that the hospitals’ outputs should be increased to reduce the unit costs. Since the
outputs are driven by the demand for healthcare services and are mostly out of the control of the
hospitals, the size of the hospitals should be reduced to improve the scale efficiency. The scale
efficiencies differ between district and referral hospitals and can be improved by strengthening the
referral system.
The most significant efficiency savings can be achieved through improved redistribution of clinical staff
and allocation of non-salary-recurrent expenditure budgets. Assuming that all facilities would address
these inefficiencies, the total savings for the relevant hospitals would amount to 32 percent in clinical
staff costs, 5 percent in nonclinical staff costs, 46 percent in recurrent expenditures, and 14 percent in
the number of beds.
viii
In the short term, there are two critical considerations for the ministry—the reallocation of clinical staff
and the introduction of an appropriate resource allocation formula that would allow for resources to be
allocated to regions and their respective health facilities and hospitals according to the health needs and
utilization of health services.
1
1. INTRODUCTION
1.1 Background of the Study
The achievement of UHC and the identification of sustainable health financing options for the provision
of health services are the key priorities of the GRN. The country is currently experiencing an economic
downturn, which has resulted in significant budget cuts for the government as well as decreased
resources for health. Furthermore, the country continues to be relatively reliant on donor funding,
particularly for its HIV interventions, to which donors contributed 47 percent of total HIV expenditures
in 2014/15. Donor support to Namibia has been decreasing in recent years, from 22 percent of total
health expenditures in 2008/09 to 6 percent of total health expenditures in 2014/15, and this trend is
expected to continue due to Namibia’s status as an upper-middle-income country. In order to achieve
UHC, there is significant pressure on the government for a health system that allows for improved
access to quality service within the existing resource constraints. This increasing need for equity of
access to healthcare necessitates efficient allocation and proper management of scarce resources, which
can only be done effectively with a comprehensive understanding of the efficiency of service provision.
Reprioritization and efficiency have the potential to create fiscal space in the MoHSS budget and allow
the provision of resources to health priorities, including HIV programs and services, without
jeopardizing the MoHSS long-term sustainability. Hospitals consume a significant portion of Namibia’s
total health budget, with a sizeable portion—more than 63 percent of public health expenditures—being
spent at government hospitals alone (2014/15). Since hospitals have such a central role in providing care
and treatment and consume such a significant portion of public health expenditures, they are a key area
where the MoHSS can achieve improvements in efficiency.
With the trend of decreasing donor resources in the country and the impact of the economic situation
on the resources for health, there is increasing pressure on the GRN to identify sustainable means of
financing the health and HIV/Acquired Immunodeficiency Syndrome (HIV/AIDS) multisectoral response
to maintain the significant gains achieved by the country. If the GRN is able to expand the country’s
fiscal space for health by streamlining hospital operations to gain better value for money, there is
potential to improve not only hospital operations and efficiency but to strengthen the larger health
system as well.
This study on the efficiency of hospital-based health services in Namibia aims to provide the necessary
information and analyses that would allow the GRN to make informed decisions regarding required
improvements to increase the efficient use of resources and therefore the potential expansion of
Namibia’s fiscal space.
1.2 Objectives of the Study
The objective of this activity was to identify ways of expanding Namibia’s fiscal space for health and HIV
through technical efficiency gains at district hospitals in Namibia. This study builds off the Health Finance
& Governance project (HFG’s) health facility unit costing study in Namibia and a study published in 2006
that assessed technical efficiency of public sector hospitals in Namibia over four financial years (1997/98
to 2000/01) (Zere, 2006).
2
To this end, HFG investigated the cost drivers, productivity, and efficient use of resources (human,
infrastructure, capital, consumable, pharmaceutical, and financial) in the production of HIV and other
hospital services through the collection of data from the facility level. The study further aimed to
generate new knowledge by identifying relevant factors that cause variations in technical efficiency.
3
2. METHODOLOGY
This section describes the approach that was followed for the implementation of the study and the
scope of the research activities.
2.1 Research Parameters
Cost and output data on the financial year 2014/15 was collected from all of the 29 district hospitals and
5 referral hospitals. The type of data that were collected through the quantitative questionnaires
included the following:
 Number of outpatient services by outpatient department
 Number of beds, inpatient admissions, bed days, and occupancy rate by inpatient department
 Number and type of health services provided for priority diseases including HIV/AIDS, tuberculosis,
and malaria
 Breakdown of salary expenditure
 Staff composition, average working hours/days, salary grades, and funding by government
 Revenue collected from patients and other sources
 Operational expenditures broken down by expenditure type paid from the government budget
 Operational expenditures paid from outside resources
 Total expenditure on pharmaceuticals and clinical supplies
 Total expenditure on x-rays, ultrasound, CT scans, and digital imaging
 Number of x-rays, ultrasound examinations, CT scans, and digital imaging tests performed
 Facility infrastructure in terms of vehicles, computers, and total value of inventory
Additional information was collected at the national level on the expenditures on and number of
laboratory tests performed through the Namibia Institute of Pathology as well as some salary and output
data that were not available at certain facilities. Furthermore, data on selected indicators were extracted
from the Health Management and Information System to be used as a proxy of the quality of health
services to determine to what extent increased efficiency compromises the achievement of improved
health outcomes.
Information on hospital expenditures was analyzed in relation to the outputs achieved by the hospitals,
such as the annual number of admissions, bed occupancy rates, and number of outpatient services
provided. Ratios of costs per output were computed and used for the analyses in order to take into
account the scale of the facilities. Key performance indicators were developed to compare the relative
performance of the facilities in terms of efficiency. To facilitate the analyses and comparisons of
hospitals’ relative performance, a DEA was conducted to calculate hospital efficiency scores and
benchmark the hospitals relative to the group’s observed best practice. The DEA model assisted the
team to find answers to questions such as (Zere, 2006):
4
 Which district hospitals are the most efficient?
 If all district hospitals are to perform according to best practice (i.e., the efficient peer hospitals), by
how much could inputs/resources be reduced to produce the current output levels; or alternately,
by how much could outputs be increased with the current input levels?
 Which of the efficient district hospitals can serve as role models to the inefficient ones?
The level of efficiency was used to estimate the amount of resources representing potential savings.
These efficiency gains were used as the bases to estimate reductions in the financing gap for health and
priority HIV services. HFG further developed recommendations to improve the efficiency of hospital
services. This information aims to inform operations management decisions on improving productivity
without compromising quality.
2.2 Data Collection
2.2.1 Quantitative Data
The majority of the data collected as part of this study was quantitative. The data were collected by
means of a questionnaire, which was distributed electronically to the identified hospitals. During the
initial phase of data collection, remote support for completion of the questionnaires was provided to the
hospitals by the HFG project staff, either telephonically or via email. The HFG data collection team
worked in collaboration with the MoHSS for the collection of data from the public hospitals.
After the deadline for the return of completed questionnaires, outstanding data were followed up by
email and telephone. Where data gaps were relatively small, this approach was continued until most of
the significant data were obtained. For the facilities that did not submit any data at all and those that had
significant data gaps, the HFG team conducted data collection visits to these selected facilities. A total of
16 hospitals were covered as part of these data collection visits.
2.2.2 Qualitative Data
Qualitative data were also collected from the hospitals that were visited for data collection through
interviews with key facility staff such as the chief medical officer or head nurse. The aim of the
qualitative data collection is to gain better understanding of the operational challenges that the hospitals
are facing, which may lead to inefficiencies. In these questionnaires, the respondents were asked to rate
certain hospital functions in terms of their efficiency, while also asking more general questions about the
drivers of inefficiencies. The qualitative questionnaires were administered in 15 of the hospitals included
in the study.
2.3 Data Cleaning and Analysis
After the completion of data collection from the facilities, HFG rigorously reviewed the data set for
completeness and consistency before consolidating it into a combined Excel spreadsheet. HFG identified
numerous data gaps where the information was not available at the health facility level or where the
data were not available at the time of collection. HFG performed data follow-up either by contacting the
facility directly or requesting the outstanding information through the MoHSS national and regional
levels. HFG followed up these requests for outstanding information on a regular basis until a specified
cut-off point.
5
DEA was used to analyze the results of this study. It is a frontier methodology that is commonly used
for measuring efficiency of healthcare organizations. DEA is a non-parametric mathematical
programming approach to frontier estimation that is highly flexible and suitable for measuring the
efficiency of hospitals using multiple inputs to produce multiple outputs.
The aim of this study is to analyze the technical efficiency of the district- and referral-level public
hospitals. A health facility is considered to be technically efficient if is it able to produce the maximum
level of outputs given a set of inputs. The technical efficiency scores were computed using the DEA
program by Tim Coelli (WINDEAP version 2.1.0.1) (Coeli, 1996). The DEA was performed using an
“input orientation,” since the district and referral hospitals in Namibia have limited control over the
outputs that they produce. The analyses will therefore show how savings can be achieved by using the
inputs more efficiently (i.e., fewer inputs) to generate the same outputs. In order to assess the scale
efficiency of the hospitals, an assumption of VRS was used in the analyses, since the district and referral
hospitals included in the study are not considered to be operating at an optimum scale. Results of
decreasing returns to scale (DRS) indicate that the hospitals are very large for their volume of
operations, while IRS indicate that the hospitals are very small for their volume of operations.
The input variables included in the analyses of this study comprised the number of clinical staff, number
of nonclinical staff, total recurrent expenditure of the hospital (including recurrent expenditures and
pharmaceuticals and clinical supplies, but excluding expenditures on human resources), and the number
of beds (as proxy of the capital infrastructure). The output variables included the total number of
outpatient visits (including general outpatient visits and outpatient visits to specialist departments) and
the total number of inpatient admissions.
Grootfontein, Nankudu, and Usakos hospitals were removed from the analyses due to incomplete
expenditure information, which would significantly bias the results in terms of the efficiency ratings
achieved by the facilities.
Descriptive statistics were calculated for all input and output variables for the remaining facilities. The
results of the analyses are illustrated in Table 1. A correlation analysis was performed on the output
variables to confirm that none of the output variables is associated. The correlation coefficients of 0.87
indicate that the selected variables are related.
Table 1: Descriptive statistics of input and output variables
Variable Type Mean
Standard
deviation
Minimum
value
Maximum value
Number of clinical
staff
Input 160 183 25 843
Number of
nonclinical staff
Input 142 130 36 481
Total recurrent
expenditure (excl.
HR)
Input NAD$38,922,451 NAD$50,541,920 NAD$7,604,178 NAD$236,034,505
Number of beds Input 233 272 43 1386
Number of OPD
visits
Output 105,530 103,143 11,786 498,110
Number of IPD days Output 58,464 95,290 6118 474312
6
The robustness of the results was tested using Jack-knifing analysis to assess the existence of any outlier
hospitals (Effron,1982). For this analysis, the efficient hospitals were removed from the analysis model
one at a time, and the technical efficiency scores were recalculated. The efficiency scores of these
resulting models were then compared to the efficiency scores of the original model that includes all of
the hospitals by means of the Spearman rank correlation coefficients. A Spearman rank correlation
coefficient value of 1 indicates that the rankings are exactly the same, while a coefficient of 0 indicates
no correlation between the efficiency scores. The mean Spearman rank correlation coefficient of the
model was 0.979 (ranging from 0.856 to 1), which indicates that there is no significant influence of
outliers on the efficiency frontier of the model.
2.4 Definitions of Different Efficiency Types
The analyses included in this study used measures of both technical efficiency and scale efficiency. Under
the DEA methodology, technical efficiency measures how many inputs are required to produce a certain
level of outputs—in other words, how efficient the hospital is in generating outputs with the inputs it is
provided. The most efficient hospitals in the data set are said to be on the efficiency frontier, which is
the highest level of efficiency attainable equal to an efficiency score of 100 percent. Any efficiency score
below 100 percent indicates that the hospital is less efficient.
Hospitals can also be technically inefficient as a result of inappropriate hospital size. This is referred to as
scale inefficiency. A hospital is said to be scale efficient when it operates under constant returns to scale
and its size of operations is optimal so that any modifications on its size will render the unit less efficient.
Scale inefficiency can either be in the form of decreasing returns to scale or increasing returns to scale.
Decreasing returns to scale imply that a hospital is too large for the volume of activities it conducts,
meaning that unit costs increase as outputs increase. Increasing returns to scale imply that the hospital is
too small for its scale of operations and that unit costs decrease as its outputs increase.
2.5 Data Limitations
The study could not include Grootfontein, Nankudu, and Usakos hospitals due to incomplete data.
7
3. ANALYSIS OF THE EFFICIENCY RESULTS
3.1 Results of the Data Envelopment Analysis
Using the VRS DEA model, an average technical efficiency score of 90.6 percent was achieved, which
indicates that overall, the hospitals have been operating at a relatively high level of efficiency. The
technical efficiency scores range from 0 percent to 100 percent, with 0 percent indicating that a facility is
extremely inefficient, while a facility with a score of 100 percent would be very efficient and classified as
a benchmark against which the efficiencies of the remaining hospitals is measured. Of the 31 hospitals
included in the final dataset, 16 were to be efficient by achieving a technical efficiency score of
100 percent. The remaining hospitals had a mean technical efficiency score of 81 percent, with the least
efficient hospital having an efficiency score of 57 percent. This means that the technically inefficient
hospitals could improve their efficiency to realize savings of 19 percent on inputs without affecting the
output levels (Table 2).
Table 2: Technical and scale efficiency summary
Hospital Technical efficiency Scale efficiency
Type of scale
inefficiency
Andara District Hospital 1 0.676 IRS
Eenhana District Hospital 1 1 -
Engela District Hospital 0.953 0.943 DRS
Gobabis District Hospital 1 1 -
Karasburg District Hospital 1 0.77 IRS
Katima Mulilo District Hospital 1 1 -
Keetmanshoop District Hospital 0.953 0.684 DRS
Khorixas District Hospital 1 0.485 IRS
Luderitz District Hospital 1 0.433 IRS
Mariental District Hospital 0.777 0.461 IRS
Nyangana District Hospital 1 0.553 IRS
Okahandja District Hospital 1 1 -
Okahao District Hospital 1 0.831 IRS
Okakarara District Hospital 1 0.609 IRS
Okongo District Hospital 1 0.799 IRS
Omaruru District Hospital 0.866 0.596 IRS
Opuwo District Hospital 0.808 0.779 IRS
Oshikuku District Hospital 1 1 -
Otiwarongo District Hospital 0.764 0.908 IRS
Outapi District Hospital 0.746 0.67 IRS
Outjo District Hospital 0.849 0.624 IRS
8
Hospital Technical efficiency Scale efficiency
Type of scale
inefficiency
Rehoboth District Hospital 1 0.655 IRS
Swakopmund District Hospital 0.839 0.974 IRS
Tsandi District Hospital 0.788 0.608 IRS
Tsumeb District Hospital 1 1 -
Walvis District Hospital 0.68 0.545 IRS
Katutura Referral Hospital 1 1 -
Onanjokwe Referral Hospital 0.568 0.89 IRS
Oshakati Referral Hospital 0.79 0.976 DRS
Rundu Referral Hospital 0.87 0.878 DRS
Windhoek Referral Hospital 0.827 0.711 DRS
In terms of scale efficiency, only 7 of the 31 hospitals had a scale efficiency score of 100 percent,
implying that they had the most productive scale size for that particular input–output mix. The
remaining hospitals were found to be scale inefficient, with a mean scale efficiency score of 71 percent.
Of these scale-inefficient hospitals, 19 (79%) showed IRS while the remaining 5 (21%) hospitals
demonstrated DRS. This implies that 79 percent of the scale-inefficient hospitals were too small for their
operations and would need to expand their operations. This, however, will require that the demand for
the hospital services (the output) needs also to keep up with the increased level of services to be
produced by the 19 hospitals. This poses a practical challenge, given the size and distribution of the
population of Namibia. On the other hand, five of the hospitals need to scale down their operation to
reach the ideal input–output mix.
It is noted that the majority of the inefficient hospitals experiencing increasing returns to scale are
district hospitals, while most of the inefficient referral hospitals experience decreasing returns to scale.
This indicates that the scale of operations of the various inefficient hospitals could be improved through
a strengthened referral system. Strengthening the capacity of district hospitals to manage more complex
patients or cases would reduce the number of referrals to referral hospitals. This would result in higher
levels of outputs at district levels—which in turn would improve the level of scale efficiency—while it
would simultaneously reduce the burden on referral hospitals including its levels of outputs, also
resulting in improved scale efficiencies in terms of their decreasing returns to scale.
Since the output variables are demand driven and not directly influenced by the hospitals or even the
MoHSS, further analyses relating to the improvement of inefficiencies will focus on the input variables
only. A closer look at the technically inefficient hospitals reveals a room for the ministry and the regional
health offices to shift some of the inputs that are in excess in the hospitals to primary facilities that often
face shortages. Almost all of these hospitals have more clinical staff than needed compared to their
output that can be considered for reassignment to health facilities that have shortages. The analysis
reveals that around 950 clinical staff in these hospitals can be reassigned to primary health facilities that
have shortages. Addressing the inefficiencies in use of the non-salary-recurrent budget allocations
efficiently will help release around NAD177 million, which can be used elsewhere. This amounts to
savings of the 32 percent in clinical staff costs, 5 percent in nonclinical staff costs, 46 percent in non-
salary-recurrent expenditures, and 14 percent in the number of beds.
9
Table 3: Potential input savings through addressing technical inefficiencies
Inputs Potential saving
Clinical Staff 950
Nonclinical Staff 21
Nonsalary-recurrent Expenditure (NAD$) 177,498,170
Number of Beds 52
Table 4 shows the savings that can be achieved by each hospital if the reductions in inputs are adopted.
The most significant savings would be achieved in Opuwo District Hospital and Omaruru District
Hospital with 56 percent and 46 percent reduction respectively in clinical staff costs, and Mariental
District Hospital and Windhoek Central Referral Hospital with reductions of 58 percent and 54 percent
respectively in non-salary-recurrent expenditures.
Table 4: Savings of improved efficiencies
Hospital Clinical staff
Nonclinical
staff
Recurrent
expenditure
Beds
Engela District Hospital 0% 0% 0% 20%
Keetmanshoop District Hospital 28% 0% 0% 0%
Mariental District Hospital 12% 0% 58% 0%
Omaruru District Hospital 46% 10% 0% 0%
Onandjokwe District Hospital 9% 4% 0% 0%
Opuwo District Hospital 56% 0% 26% 0%
Otjiwarongo District Hospital 21% 0% 0% 5%
Outapi District Hospital 5% 0% 0% 0%
Swakopmund District Hospital 10% 0% 0% 0%
Tsandi District Hospital 12% 0% 0% 0%
Oshakati Referral Hospital 30% 0% 0% 0%
Rundu Referral Hospital 29% 0% 9% 0%
Windhoek Central Referral Hospital 45% 0% 54% 0%
While the hospitals overall operate at a relatively efficient level, there is a lot of room for efficiency
improvements, particularly in terms of the allocation of clinical staff and recurrent expenditures. The
public sector is often plagued by a shortage of skilled clinical staff, and while that may be the case for the
health sector as a whole, the results indicate that there is scope for addressing these shortages to some
extent through improved reallocation of clinical staff. The MoHSS has also been considering the
introduction of a resource allocation formula, which would take into consideration population sizes and
regional health needs/disease burden to allocate resources to regions. The implementation of a refined
resource allocation formula to replace the historical budgeting approach currently used is likely to assist
in ensuring resources are allocated more effectively and reduce the current wastage of 46 percent
among inefficient hospitals.
10
3.2 Qualitative Review of the Inefficiencies
In addition to the quantitative data that were collected for this efficiency study, interviews were
conducted with key facility staff at a sample of hospitals only to gain insight into their perspectives on
the causes of inefficiency in their facilities. In contrast to the findings from the quantitative analysis, in
interviews with key facility staff in selected hospitals, staff shortages were noted as a major constraint in
service delivery in almost all hospitals interviewed. The population numbers and the need for health
services keep increasing but the staff establishment remains the same. Some of the staff interviewed
noted that staff lack adequate training—particularly nurses—which inhibits their ability to properly
perform their duties. The problem of insufficient training is exacerbated by the fact that staffs are not
able to attend trainings because there is not sufficient staff to cover the workload in their absence.
Furthermore, concerns have been raised about the quality of training and skills of young doctors, as they
are lacking not only experience but also some of the basic skills and knowledge required to perform the
duties as a doctor. Although lower staff skill levels allow the hospitals to keep their payroll expenditures
down, the result may be that many other costs ultimately cause inefficiencies. Overworked and
inappropriately trained staff can result in poorer health outcomes due to incorrect diagnoses and
treatment, which in the longer term may result in the need for more expensive treatment options and
multiple return visits.
As a result of the lack of experience and skills among young doctors, the hospital staffs interviewed
stated that there is an overuse of laboratory tests. The doctors tend to prescribe more laboratory tests
than necessary because they are unsure of possible diagnoses and therefore perform multiple tests to
cover all bases. This problem is especially found among interns, who lack experience and better
judgement or analysis of symptoms. Performing unnecessary laboratory tests significantly increases the
costs incurred by hospitals and thus increases their level of inefficiency.
In general, most facilities noted that they did not experience many problems with pharmaceutical stock
outs—particularly for those that are most frequently used—but that there have been stock outs of
more specialized drugs and second-line treatments. Many of the hospitals noted that they revert to buy-
outs, which means that they procure pharmaceuticals and clinical supplies from private pharmacies due
to the products not being readily available through central medical stores. Furthermore, some hospitals
complained that some of the stock that they receive from central medical stores is close to its expiry
date, which then results in spoilage of the stock at the facilities. They noted that this is not a fair
practice, because it gives the impression that the hospitals are not capable of effectively managing their
stock. One of the hospitals noted that they have stock outs of clinical supplies, which requires them to
reuse clinical supplies that are not reusable. Although they noted that they do sterilize the items before
reusing them, the practice is not ideal because the quality of the supplies may remain compromised and
pose a significant risk in terms of infection control. The same facility noted that patients often pool funds
to buy clinical supplies from private pharmacies for use in their treatment in the public hospital. Some
facilities have noted that there are inefficiencies due to wastage, with pharmaceuticals being prescribed
unnecessarily and clinical supplies wasted due to clinicians not being conscious of cost implications.
Another major concern that was raised by the hospitals is the functionality of the economizing
committees. These committees are established to regularly review the hospitals’ procurement needs
and make decisions on procurements that should be made based on priorities. These committees are
also responsible to evaluate the procurement options, quotations for goods or services, and make the
vendor selection. The key concern that was noted in relation to the economizing committees is that
they do not fully understand and appreciate their roles in terms of accountability and the prudent
management of funds. Instances have been noted where procurements have been issued multiple times
as there is no control over what has been approved and authorized and the quality and completion of
work is not monitored prior to payment. Such flaws in the procurement system can lead to significant
11
wastage of resources. This issue has, however, been resolved to some extent with the introduction of
the central procurement committee, although there are significant concerns about the resulting delays in
the procurement process.
13
4. CONCLUSIONS AND RECOMMENDATIONS
Around half of the hospitals included in this study were found to be technically inefficient, which means
that they could improve their operations in order to be more efficient. The mean technical efficiency
score for these inefficient hospitals was 81 percent. However, with some facilities having a technical
efficiency score of 57 percent, there is significant potential for efficiency gains. Overall, the technically
inefficient hospitals could improve their efficiency for savings of 19 percent on inputs without affecting
the output levels.
Further analysis of the hospitals brought to light the vast majority that had a scale efficiency score of less
than 100 percent, with a mean scale efficiency score of 71 percent, implying that the input–output mix in
these hospitals is inefficient. Most of the scale-inefficient hospitals showed IRS, which means that the
hospitals’ outputs should be increased to reduce the unit costs. Since the outputs are driven by the
demand for healthcare services and are mostly out of the control of the hospitals, the size of the
hospitals should be reduced to improve the scale efficiency. However, the scale efficiencies differ
between district and referral hospitals, which implies that scale efficiencies can be addressed to some
extent through improvements in the national referral system. By reducing the number of referrals from
district hospitals to referral hospitals, the scale efficiencies of both district and referral hospitals would
be improved simultaneously.
The most significant efficiency savings can be achieved through improved redistribution of clinical staff
and allocation of non-salary-recurrent expenditure budgets. Assuming that all facilities would address
these inefficiencies, the total savings for the relevant hospitals would amount to 32 percent in clinical
staff costs, 5 percent in nonclinical staff costs, 46 percent in recurrent expenditures, and 14 percent in
the number of beds.
While measures to achieve cost savings in some of these areas cannot be implemented in the short
term, such as a reduction in a facility’s size and bed capacity, there are other measures that the MoHSS
could improve as a matter of priority. The two critical considerations for the ministry would be the
reallocation of clinical staff and the introduction of an appropriate resource allocation formula that
would allow for resources to be distributed to regions and their respective health facilities and hospitals
according to the health needs and utilization of health services.
With the current pressure on government in terms of budget cuts, economic constraints, and reducing
donor funding for health, it is critical that the government take action to ensure that the limited
resources available are used to their maximum benefit. Efficiency measures should be instituted as a
matter of priority and pursued consistently to ensure that the health gains achieved with the resources
available are maximized.
14
15
5. REFERENCES
1. E. Zere, T. Mbeeli, K. Shangula, C. Mandlhate, K. Mutirua, B. Tjivambi., and W. Kapenambili,
“Technical Efficiency of District Hospitals: Evidence From Namibia Using Data Envelopment
Analysis,” Cost Effectiveness and Resource Allocation, 4:5 (2006).
2. Coelli TJ: A guide to DEAP Version 2.1: A Data Envelopment Analysis (computer)
Programme. University of New England, Department of Econometrics. CEPA Working
Paper 96/8 1996
3. Efron B: The jackknife, the bootstrap and other resampling plans. Philadelphia: Society for Industrial
and Applied Mathematics; 1982.
Analyzing the Technical Efficiency of Public Hospitals in Namibia

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Analyzing the Technical Efficiency of Public Hospitals in Namibia

  • 1. August 2018 This publication was produced for review by the United States Agency for International Development. It was prepared by Claire Jones and Tesfaye Ashagari for the Health Finance and Governance Project. ANALYZING THE TECHNICAL EFFICIENCY OF PUBLIC HOSPITALS IN NAMIBIA
  • 2. The Health Finance and Governance Project United States Agency for International Development’s Health Finance & Governance (HFG) project helps to improve health in developing countries by expanding people’s access to health care. Led by Abt Associates, the project team works with partner countries to increase their domestic resources for health, manage those precious resources more effectively, and make wise purchasing decisions. As a result, this six-year, $209 million global project increases the use of both primary and priority health services, including HIV/AIDS, tuberculosis, malaria, and reproductive health services. Designed to fundamentally strengthen health systems, HFG supports countries as they navigate the economic transitions needed to achieve universal health care. August 2018 Cooperative Agreement No: AID-OAA-A-12-00080 Submitted to: Scott Stewart, AOR Office of Health Systems Bureau for Global Health Recommended Citation: Jones, C.; Ashagari, T. August 2018. Analyzing the Technical Efficiency of Public Hospitals in Namibia. Bethesda, MD: Health Finance & Governance Project, Abt Associates Inc. Abt Associates Inc. | 6130 Executive Boulevard | Rockville, Maryland 20852 T: 301.347.5000 | F: 301.652.3916 | www.abtassociates.com Avenir Health | Broad Branch Associates | Development Alternatives Inc. (DAI) | | Johns Hopkins Bloomberg School of Public Health (JHSPH) | Results for Development Institute (R4D) | RTI International | Training Resources Group, Inc. (TRG)
  • 3. ANALYZING THE TECHNICAL EFFICIENCY OF PUBLIC HOSPITALS IN NAMIBIA DISCLAIMER The author’s views expressed in this publication do not necessarily reflect the views of the United States Agency for International Development or the United States Government.
  • 4.
  • 5. i CONTENTS Acronyms............................................................................................................iii Acknowledgments...............................................................................................v Executive Summary ..........................................................................................vii 1. Introduction...........................................................................................1 1.1 Background of the Study....................................................................................................1 1.2 Objectives of the Study......................................................................................................1 2. Methodology..........................................................................................3 2.1 Research Parameters..........................................................................................................3 2.2 Data Collection....................................................................................................................4 2.3 Data Cleaning and Analysis...............................................................................................4 2.4 Definitions of Different Efficiency Types.......................................................................6 2.5 Data Limitations...................................................................................................................6 3. Analysis of the efficiency results...........................................................7 3.1 Results of the Data Envelopment Analysis ...................................................................7 3.2 Qualitative Review of the Inefficiencies.......................................................................10 4. Conclusions and Recommendations ..................................................13 5. References ...........................................................................................15
  • 6. ii List of Tables Table 1: Descriptive Statistics of Input and Output Variables ...............5 Table 2: Technical and Scale efficiency summary..................................7 Table 3: Potential Input Savings through Addressing Technical Inefficiencies..................................................................................9 Table 4: Savings of Improved Efficiencies .............................................9
  • 7. iii ACRONYMS AIDS Acquired Immunodeficiency Syndrome DEA Data Envelopment Analysis DRS Decreasing Returns to Scale GRN Government of the Republic of Namibia HFG Health Finance & Governance Project HIV Human Immunodeficiency Virus IRS Increasing Returns to Scale MoHSS Namibia Ministry of Health and Social Services UHC Universal Health Coverage VRS Variable Returns to Scale
  • 8.
  • 9. v ACKNOWLEDGMENTS This study was financed by the U.S. Government through the United States Agency for International Development-funded Health Finance & Governance project. The authors thank all those who contributed to this report. We would like to recognize the support and commitment of the Ministry of Health and Social Services. We would particularly thank Mr. T. Mbeeli, Mr. C. Usurua and Ms. J. Malule of the Policy Planning and Human Resource Directorate for their relentless efforts in facilitating the study, supporting the data collection process, and providing additional insights into the analyses of the data. We are further grateful to the Ministry of Health and Social Services and all of the participating district and referral hospitals for providing the data and other sources of essential information critical to the foundation of this study. Further thanks go to the hospital staff that participated in the qualitative data collection process and were willing to provide us with their valuable opinions and insights on the levels and causes of inefficiencies. We would also like to thank Dr. Carlos Avila and Romana Haider for their support with the initial study design and the data collection phase of the study. Further thanks go to the team that conducted visits to the hospitals to collect outstanding data and facilitated interviews with the hospitals staff.
  • 10.
  • 11. vii EXECUTIVE SUMMARY The achievement of universal health coverage (UHC) and the identification of sustainable health financing options for the provision of health services are the key priorities of the Government of the Republic of Namibia (GRN). In the context of the economic downturn in Namibia and the trend of decreasing donor resources as a result of Namibia’s classification as an upper-middle-income country, the reprioritization and efficient use of resources to create fiscal space in the Namibia Ministry of Health and Social Services (MoHSS) budget have become critical measures to facilitate the continued provision of priority health interventions, including Human Immunodeficiency Virus (HIV) programs and services, without jeopardizing long-term sustainability. Since hospitals consume a significant portion of Namibia’s total health budget, with 59 percent of public health expenditures being spent at government hospitals alone (2016/17), hospitals are central to achieving improved efficiencies in the public health sector. The objective of this activity was to identify ways of expanding Namibia’s fiscal space for health and HIV through technical efficiency gains at district hospitals in the country. The study collected cost and output data for the financial year 2014/15 from all of the 29 district hospitals and 5 referral hospitals. Data Envelopment Analysis (DEA) was used to calculate hospital efficiency scores and benchmark the hospitals relative to the group’s observed best practice. The DEA was performed using an “input orientation,” since the district and referral hospitals in Namibia have limited control over the outputs they produce. The analyses therefore show how savings can be achieved by using the inputs more efficiently (i.e., fewer inputs) to generate the same outputs. In order to assess the scale efficiency of the hospitals, an assumption of VRS was used in the analyses since the district and referral hospitals included in the study are not considered to be operating at an optimum scale. Interviews were conducted with key staff of selected hospitals to complement the quantitative data collected. Fifty-two percent of the hospitals included in this study were found to be technically inefficient, which means that they could improve their operations in order to be more efficient. The mean technical efficiency score for these inefficient hospitals was 81 percent, which means that overall efficiency savings of 19 percent on inputs could be realized without affecting the output levels. In terms of scale efficiency, the vast majority of hospitals had a scale efficiency score of less than 100 percent, with a mean scale efficiency score of 71 percent. This implies that the input–output mix in these hospitals is inefficient. Most of the scale-inefficient hospitals showed increasing returns to scale (IRS), which means that the hospitals’ outputs should be increased to reduce the unit costs. Since the outputs are driven by the demand for healthcare services and are mostly out of the control of the hospitals, the size of the hospitals should be reduced to improve the scale efficiency. The scale efficiencies differ between district and referral hospitals and can be improved by strengthening the referral system. The most significant efficiency savings can be achieved through improved redistribution of clinical staff and allocation of non-salary-recurrent expenditure budgets. Assuming that all facilities would address these inefficiencies, the total savings for the relevant hospitals would amount to 32 percent in clinical staff costs, 5 percent in nonclinical staff costs, 46 percent in recurrent expenditures, and 14 percent in the number of beds.
  • 12. viii In the short term, there are two critical considerations for the ministry—the reallocation of clinical staff and the introduction of an appropriate resource allocation formula that would allow for resources to be allocated to regions and their respective health facilities and hospitals according to the health needs and utilization of health services.
  • 13. 1 1. INTRODUCTION 1.1 Background of the Study The achievement of UHC and the identification of sustainable health financing options for the provision of health services are the key priorities of the GRN. The country is currently experiencing an economic downturn, which has resulted in significant budget cuts for the government as well as decreased resources for health. Furthermore, the country continues to be relatively reliant on donor funding, particularly for its HIV interventions, to which donors contributed 47 percent of total HIV expenditures in 2014/15. Donor support to Namibia has been decreasing in recent years, from 22 percent of total health expenditures in 2008/09 to 6 percent of total health expenditures in 2014/15, and this trend is expected to continue due to Namibia’s status as an upper-middle-income country. In order to achieve UHC, there is significant pressure on the government for a health system that allows for improved access to quality service within the existing resource constraints. This increasing need for equity of access to healthcare necessitates efficient allocation and proper management of scarce resources, which can only be done effectively with a comprehensive understanding of the efficiency of service provision. Reprioritization and efficiency have the potential to create fiscal space in the MoHSS budget and allow the provision of resources to health priorities, including HIV programs and services, without jeopardizing the MoHSS long-term sustainability. Hospitals consume a significant portion of Namibia’s total health budget, with a sizeable portion—more than 63 percent of public health expenditures—being spent at government hospitals alone (2014/15). Since hospitals have such a central role in providing care and treatment and consume such a significant portion of public health expenditures, they are a key area where the MoHSS can achieve improvements in efficiency. With the trend of decreasing donor resources in the country and the impact of the economic situation on the resources for health, there is increasing pressure on the GRN to identify sustainable means of financing the health and HIV/Acquired Immunodeficiency Syndrome (HIV/AIDS) multisectoral response to maintain the significant gains achieved by the country. If the GRN is able to expand the country’s fiscal space for health by streamlining hospital operations to gain better value for money, there is potential to improve not only hospital operations and efficiency but to strengthen the larger health system as well. This study on the efficiency of hospital-based health services in Namibia aims to provide the necessary information and analyses that would allow the GRN to make informed decisions regarding required improvements to increase the efficient use of resources and therefore the potential expansion of Namibia’s fiscal space. 1.2 Objectives of the Study The objective of this activity was to identify ways of expanding Namibia’s fiscal space for health and HIV through technical efficiency gains at district hospitals in Namibia. This study builds off the Health Finance & Governance project (HFG’s) health facility unit costing study in Namibia and a study published in 2006 that assessed technical efficiency of public sector hospitals in Namibia over four financial years (1997/98 to 2000/01) (Zere, 2006).
  • 14. 2 To this end, HFG investigated the cost drivers, productivity, and efficient use of resources (human, infrastructure, capital, consumable, pharmaceutical, and financial) in the production of HIV and other hospital services through the collection of data from the facility level. The study further aimed to generate new knowledge by identifying relevant factors that cause variations in technical efficiency.
  • 15. 3 2. METHODOLOGY This section describes the approach that was followed for the implementation of the study and the scope of the research activities. 2.1 Research Parameters Cost and output data on the financial year 2014/15 was collected from all of the 29 district hospitals and 5 referral hospitals. The type of data that were collected through the quantitative questionnaires included the following:  Number of outpatient services by outpatient department  Number of beds, inpatient admissions, bed days, and occupancy rate by inpatient department  Number and type of health services provided for priority diseases including HIV/AIDS, tuberculosis, and malaria  Breakdown of salary expenditure  Staff composition, average working hours/days, salary grades, and funding by government  Revenue collected from patients and other sources  Operational expenditures broken down by expenditure type paid from the government budget  Operational expenditures paid from outside resources  Total expenditure on pharmaceuticals and clinical supplies  Total expenditure on x-rays, ultrasound, CT scans, and digital imaging  Number of x-rays, ultrasound examinations, CT scans, and digital imaging tests performed  Facility infrastructure in terms of vehicles, computers, and total value of inventory Additional information was collected at the national level on the expenditures on and number of laboratory tests performed through the Namibia Institute of Pathology as well as some salary and output data that were not available at certain facilities. Furthermore, data on selected indicators were extracted from the Health Management and Information System to be used as a proxy of the quality of health services to determine to what extent increased efficiency compromises the achievement of improved health outcomes. Information on hospital expenditures was analyzed in relation to the outputs achieved by the hospitals, such as the annual number of admissions, bed occupancy rates, and number of outpatient services provided. Ratios of costs per output were computed and used for the analyses in order to take into account the scale of the facilities. Key performance indicators were developed to compare the relative performance of the facilities in terms of efficiency. To facilitate the analyses and comparisons of hospitals’ relative performance, a DEA was conducted to calculate hospital efficiency scores and benchmark the hospitals relative to the group’s observed best practice. The DEA model assisted the team to find answers to questions such as (Zere, 2006):
  • 16. 4  Which district hospitals are the most efficient?  If all district hospitals are to perform according to best practice (i.e., the efficient peer hospitals), by how much could inputs/resources be reduced to produce the current output levels; or alternately, by how much could outputs be increased with the current input levels?  Which of the efficient district hospitals can serve as role models to the inefficient ones? The level of efficiency was used to estimate the amount of resources representing potential savings. These efficiency gains were used as the bases to estimate reductions in the financing gap for health and priority HIV services. HFG further developed recommendations to improve the efficiency of hospital services. This information aims to inform operations management decisions on improving productivity without compromising quality. 2.2 Data Collection 2.2.1 Quantitative Data The majority of the data collected as part of this study was quantitative. The data were collected by means of a questionnaire, which was distributed electronically to the identified hospitals. During the initial phase of data collection, remote support for completion of the questionnaires was provided to the hospitals by the HFG project staff, either telephonically or via email. The HFG data collection team worked in collaboration with the MoHSS for the collection of data from the public hospitals. After the deadline for the return of completed questionnaires, outstanding data were followed up by email and telephone. Where data gaps were relatively small, this approach was continued until most of the significant data were obtained. For the facilities that did not submit any data at all and those that had significant data gaps, the HFG team conducted data collection visits to these selected facilities. A total of 16 hospitals were covered as part of these data collection visits. 2.2.2 Qualitative Data Qualitative data were also collected from the hospitals that were visited for data collection through interviews with key facility staff such as the chief medical officer or head nurse. The aim of the qualitative data collection is to gain better understanding of the operational challenges that the hospitals are facing, which may lead to inefficiencies. In these questionnaires, the respondents were asked to rate certain hospital functions in terms of their efficiency, while also asking more general questions about the drivers of inefficiencies. The qualitative questionnaires were administered in 15 of the hospitals included in the study. 2.3 Data Cleaning and Analysis After the completion of data collection from the facilities, HFG rigorously reviewed the data set for completeness and consistency before consolidating it into a combined Excel spreadsheet. HFG identified numerous data gaps where the information was not available at the health facility level or where the data were not available at the time of collection. HFG performed data follow-up either by contacting the facility directly or requesting the outstanding information through the MoHSS national and regional levels. HFG followed up these requests for outstanding information on a regular basis until a specified cut-off point.
  • 17. 5 DEA was used to analyze the results of this study. It is a frontier methodology that is commonly used for measuring efficiency of healthcare organizations. DEA is a non-parametric mathematical programming approach to frontier estimation that is highly flexible and suitable for measuring the efficiency of hospitals using multiple inputs to produce multiple outputs. The aim of this study is to analyze the technical efficiency of the district- and referral-level public hospitals. A health facility is considered to be technically efficient if is it able to produce the maximum level of outputs given a set of inputs. The technical efficiency scores were computed using the DEA program by Tim Coelli (WINDEAP version 2.1.0.1) (Coeli, 1996). The DEA was performed using an “input orientation,” since the district and referral hospitals in Namibia have limited control over the outputs that they produce. The analyses will therefore show how savings can be achieved by using the inputs more efficiently (i.e., fewer inputs) to generate the same outputs. In order to assess the scale efficiency of the hospitals, an assumption of VRS was used in the analyses, since the district and referral hospitals included in the study are not considered to be operating at an optimum scale. Results of decreasing returns to scale (DRS) indicate that the hospitals are very large for their volume of operations, while IRS indicate that the hospitals are very small for their volume of operations. The input variables included in the analyses of this study comprised the number of clinical staff, number of nonclinical staff, total recurrent expenditure of the hospital (including recurrent expenditures and pharmaceuticals and clinical supplies, but excluding expenditures on human resources), and the number of beds (as proxy of the capital infrastructure). The output variables included the total number of outpatient visits (including general outpatient visits and outpatient visits to specialist departments) and the total number of inpatient admissions. Grootfontein, Nankudu, and Usakos hospitals were removed from the analyses due to incomplete expenditure information, which would significantly bias the results in terms of the efficiency ratings achieved by the facilities. Descriptive statistics were calculated for all input and output variables for the remaining facilities. The results of the analyses are illustrated in Table 1. A correlation analysis was performed on the output variables to confirm that none of the output variables is associated. The correlation coefficients of 0.87 indicate that the selected variables are related. Table 1: Descriptive statistics of input and output variables Variable Type Mean Standard deviation Minimum value Maximum value Number of clinical staff Input 160 183 25 843 Number of nonclinical staff Input 142 130 36 481 Total recurrent expenditure (excl. HR) Input NAD$38,922,451 NAD$50,541,920 NAD$7,604,178 NAD$236,034,505 Number of beds Input 233 272 43 1386 Number of OPD visits Output 105,530 103,143 11,786 498,110 Number of IPD days Output 58,464 95,290 6118 474312
  • 18. 6 The robustness of the results was tested using Jack-knifing analysis to assess the existence of any outlier hospitals (Effron,1982). For this analysis, the efficient hospitals were removed from the analysis model one at a time, and the technical efficiency scores were recalculated. The efficiency scores of these resulting models were then compared to the efficiency scores of the original model that includes all of the hospitals by means of the Spearman rank correlation coefficients. A Spearman rank correlation coefficient value of 1 indicates that the rankings are exactly the same, while a coefficient of 0 indicates no correlation between the efficiency scores. The mean Spearman rank correlation coefficient of the model was 0.979 (ranging from 0.856 to 1), which indicates that there is no significant influence of outliers on the efficiency frontier of the model. 2.4 Definitions of Different Efficiency Types The analyses included in this study used measures of both technical efficiency and scale efficiency. Under the DEA methodology, technical efficiency measures how many inputs are required to produce a certain level of outputs—in other words, how efficient the hospital is in generating outputs with the inputs it is provided. The most efficient hospitals in the data set are said to be on the efficiency frontier, which is the highest level of efficiency attainable equal to an efficiency score of 100 percent. Any efficiency score below 100 percent indicates that the hospital is less efficient. Hospitals can also be technically inefficient as a result of inappropriate hospital size. This is referred to as scale inefficiency. A hospital is said to be scale efficient when it operates under constant returns to scale and its size of operations is optimal so that any modifications on its size will render the unit less efficient. Scale inefficiency can either be in the form of decreasing returns to scale or increasing returns to scale. Decreasing returns to scale imply that a hospital is too large for the volume of activities it conducts, meaning that unit costs increase as outputs increase. Increasing returns to scale imply that the hospital is too small for its scale of operations and that unit costs decrease as its outputs increase. 2.5 Data Limitations The study could not include Grootfontein, Nankudu, and Usakos hospitals due to incomplete data.
  • 19. 7 3. ANALYSIS OF THE EFFICIENCY RESULTS 3.1 Results of the Data Envelopment Analysis Using the VRS DEA model, an average technical efficiency score of 90.6 percent was achieved, which indicates that overall, the hospitals have been operating at a relatively high level of efficiency. The technical efficiency scores range from 0 percent to 100 percent, with 0 percent indicating that a facility is extremely inefficient, while a facility with a score of 100 percent would be very efficient and classified as a benchmark against which the efficiencies of the remaining hospitals is measured. Of the 31 hospitals included in the final dataset, 16 were to be efficient by achieving a technical efficiency score of 100 percent. The remaining hospitals had a mean technical efficiency score of 81 percent, with the least efficient hospital having an efficiency score of 57 percent. This means that the technically inefficient hospitals could improve their efficiency to realize savings of 19 percent on inputs without affecting the output levels (Table 2). Table 2: Technical and scale efficiency summary Hospital Technical efficiency Scale efficiency Type of scale inefficiency Andara District Hospital 1 0.676 IRS Eenhana District Hospital 1 1 - Engela District Hospital 0.953 0.943 DRS Gobabis District Hospital 1 1 - Karasburg District Hospital 1 0.77 IRS Katima Mulilo District Hospital 1 1 - Keetmanshoop District Hospital 0.953 0.684 DRS Khorixas District Hospital 1 0.485 IRS Luderitz District Hospital 1 0.433 IRS Mariental District Hospital 0.777 0.461 IRS Nyangana District Hospital 1 0.553 IRS Okahandja District Hospital 1 1 - Okahao District Hospital 1 0.831 IRS Okakarara District Hospital 1 0.609 IRS Okongo District Hospital 1 0.799 IRS Omaruru District Hospital 0.866 0.596 IRS Opuwo District Hospital 0.808 0.779 IRS Oshikuku District Hospital 1 1 - Otiwarongo District Hospital 0.764 0.908 IRS Outapi District Hospital 0.746 0.67 IRS Outjo District Hospital 0.849 0.624 IRS
  • 20. 8 Hospital Technical efficiency Scale efficiency Type of scale inefficiency Rehoboth District Hospital 1 0.655 IRS Swakopmund District Hospital 0.839 0.974 IRS Tsandi District Hospital 0.788 0.608 IRS Tsumeb District Hospital 1 1 - Walvis District Hospital 0.68 0.545 IRS Katutura Referral Hospital 1 1 - Onanjokwe Referral Hospital 0.568 0.89 IRS Oshakati Referral Hospital 0.79 0.976 DRS Rundu Referral Hospital 0.87 0.878 DRS Windhoek Referral Hospital 0.827 0.711 DRS In terms of scale efficiency, only 7 of the 31 hospitals had a scale efficiency score of 100 percent, implying that they had the most productive scale size for that particular input–output mix. The remaining hospitals were found to be scale inefficient, with a mean scale efficiency score of 71 percent. Of these scale-inefficient hospitals, 19 (79%) showed IRS while the remaining 5 (21%) hospitals demonstrated DRS. This implies that 79 percent of the scale-inefficient hospitals were too small for their operations and would need to expand their operations. This, however, will require that the demand for the hospital services (the output) needs also to keep up with the increased level of services to be produced by the 19 hospitals. This poses a practical challenge, given the size and distribution of the population of Namibia. On the other hand, five of the hospitals need to scale down their operation to reach the ideal input–output mix. It is noted that the majority of the inefficient hospitals experiencing increasing returns to scale are district hospitals, while most of the inefficient referral hospitals experience decreasing returns to scale. This indicates that the scale of operations of the various inefficient hospitals could be improved through a strengthened referral system. Strengthening the capacity of district hospitals to manage more complex patients or cases would reduce the number of referrals to referral hospitals. This would result in higher levels of outputs at district levels—which in turn would improve the level of scale efficiency—while it would simultaneously reduce the burden on referral hospitals including its levels of outputs, also resulting in improved scale efficiencies in terms of their decreasing returns to scale. Since the output variables are demand driven and not directly influenced by the hospitals or even the MoHSS, further analyses relating to the improvement of inefficiencies will focus on the input variables only. A closer look at the technically inefficient hospitals reveals a room for the ministry and the regional health offices to shift some of the inputs that are in excess in the hospitals to primary facilities that often face shortages. Almost all of these hospitals have more clinical staff than needed compared to their output that can be considered for reassignment to health facilities that have shortages. The analysis reveals that around 950 clinical staff in these hospitals can be reassigned to primary health facilities that have shortages. Addressing the inefficiencies in use of the non-salary-recurrent budget allocations efficiently will help release around NAD177 million, which can be used elsewhere. This amounts to savings of the 32 percent in clinical staff costs, 5 percent in nonclinical staff costs, 46 percent in non- salary-recurrent expenditures, and 14 percent in the number of beds.
  • 21. 9 Table 3: Potential input savings through addressing technical inefficiencies Inputs Potential saving Clinical Staff 950 Nonclinical Staff 21 Nonsalary-recurrent Expenditure (NAD$) 177,498,170 Number of Beds 52 Table 4 shows the savings that can be achieved by each hospital if the reductions in inputs are adopted. The most significant savings would be achieved in Opuwo District Hospital and Omaruru District Hospital with 56 percent and 46 percent reduction respectively in clinical staff costs, and Mariental District Hospital and Windhoek Central Referral Hospital with reductions of 58 percent and 54 percent respectively in non-salary-recurrent expenditures. Table 4: Savings of improved efficiencies Hospital Clinical staff Nonclinical staff Recurrent expenditure Beds Engela District Hospital 0% 0% 0% 20% Keetmanshoop District Hospital 28% 0% 0% 0% Mariental District Hospital 12% 0% 58% 0% Omaruru District Hospital 46% 10% 0% 0% Onandjokwe District Hospital 9% 4% 0% 0% Opuwo District Hospital 56% 0% 26% 0% Otjiwarongo District Hospital 21% 0% 0% 5% Outapi District Hospital 5% 0% 0% 0% Swakopmund District Hospital 10% 0% 0% 0% Tsandi District Hospital 12% 0% 0% 0% Oshakati Referral Hospital 30% 0% 0% 0% Rundu Referral Hospital 29% 0% 9% 0% Windhoek Central Referral Hospital 45% 0% 54% 0% While the hospitals overall operate at a relatively efficient level, there is a lot of room for efficiency improvements, particularly in terms of the allocation of clinical staff and recurrent expenditures. The public sector is often plagued by a shortage of skilled clinical staff, and while that may be the case for the health sector as a whole, the results indicate that there is scope for addressing these shortages to some extent through improved reallocation of clinical staff. The MoHSS has also been considering the introduction of a resource allocation formula, which would take into consideration population sizes and regional health needs/disease burden to allocate resources to regions. The implementation of a refined resource allocation formula to replace the historical budgeting approach currently used is likely to assist in ensuring resources are allocated more effectively and reduce the current wastage of 46 percent among inefficient hospitals.
  • 22. 10 3.2 Qualitative Review of the Inefficiencies In addition to the quantitative data that were collected for this efficiency study, interviews were conducted with key facility staff at a sample of hospitals only to gain insight into their perspectives on the causes of inefficiency in their facilities. In contrast to the findings from the quantitative analysis, in interviews with key facility staff in selected hospitals, staff shortages were noted as a major constraint in service delivery in almost all hospitals interviewed. The population numbers and the need for health services keep increasing but the staff establishment remains the same. Some of the staff interviewed noted that staff lack adequate training—particularly nurses—which inhibits their ability to properly perform their duties. The problem of insufficient training is exacerbated by the fact that staffs are not able to attend trainings because there is not sufficient staff to cover the workload in their absence. Furthermore, concerns have been raised about the quality of training and skills of young doctors, as they are lacking not only experience but also some of the basic skills and knowledge required to perform the duties as a doctor. Although lower staff skill levels allow the hospitals to keep their payroll expenditures down, the result may be that many other costs ultimately cause inefficiencies. Overworked and inappropriately trained staff can result in poorer health outcomes due to incorrect diagnoses and treatment, which in the longer term may result in the need for more expensive treatment options and multiple return visits. As a result of the lack of experience and skills among young doctors, the hospital staffs interviewed stated that there is an overuse of laboratory tests. The doctors tend to prescribe more laboratory tests than necessary because they are unsure of possible diagnoses and therefore perform multiple tests to cover all bases. This problem is especially found among interns, who lack experience and better judgement or analysis of symptoms. Performing unnecessary laboratory tests significantly increases the costs incurred by hospitals and thus increases their level of inefficiency. In general, most facilities noted that they did not experience many problems with pharmaceutical stock outs—particularly for those that are most frequently used—but that there have been stock outs of more specialized drugs and second-line treatments. Many of the hospitals noted that they revert to buy- outs, which means that they procure pharmaceuticals and clinical supplies from private pharmacies due to the products not being readily available through central medical stores. Furthermore, some hospitals complained that some of the stock that they receive from central medical stores is close to its expiry date, which then results in spoilage of the stock at the facilities. They noted that this is not a fair practice, because it gives the impression that the hospitals are not capable of effectively managing their stock. One of the hospitals noted that they have stock outs of clinical supplies, which requires them to reuse clinical supplies that are not reusable. Although they noted that they do sterilize the items before reusing them, the practice is not ideal because the quality of the supplies may remain compromised and pose a significant risk in terms of infection control. The same facility noted that patients often pool funds to buy clinical supplies from private pharmacies for use in their treatment in the public hospital. Some facilities have noted that there are inefficiencies due to wastage, with pharmaceuticals being prescribed unnecessarily and clinical supplies wasted due to clinicians not being conscious of cost implications. Another major concern that was raised by the hospitals is the functionality of the economizing committees. These committees are established to regularly review the hospitals’ procurement needs and make decisions on procurements that should be made based on priorities. These committees are also responsible to evaluate the procurement options, quotations for goods or services, and make the vendor selection. The key concern that was noted in relation to the economizing committees is that they do not fully understand and appreciate their roles in terms of accountability and the prudent management of funds. Instances have been noted where procurements have been issued multiple times as there is no control over what has been approved and authorized and the quality and completion of work is not monitored prior to payment. Such flaws in the procurement system can lead to significant
  • 23. 11 wastage of resources. This issue has, however, been resolved to some extent with the introduction of the central procurement committee, although there are significant concerns about the resulting delays in the procurement process.
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  • 25. 13 4. CONCLUSIONS AND RECOMMENDATIONS Around half of the hospitals included in this study were found to be technically inefficient, which means that they could improve their operations in order to be more efficient. The mean technical efficiency score for these inefficient hospitals was 81 percent. However, with some facilities having a technical efficiency score of 57 percent, there is significant potential for efficiency gains. Overall, the technically inefficient hospitals could improve their efficiency for savings of 19 percent on inputs without affecting the output levels. Further analysis of the hospitals brought to light the vast majority that had a scale efficiency score of less than 100 percent, with a mean scale efficiency score of 71 percent, implying that the input–output mix in these hospitals is inefficient. Most of the scale-inefficient hospitals showed IRS, which means that the hospitals’ outputs should be increased to reduce the unit costs. Since the outputs are driven by the demand for healthcare services and are mostly out of the control of the hospitals, the size of the hospitals should be reduced to improve the scale efficiency. However, the scale efficiencies differ between district and referral hospitals, which implies that scale efficiencies can be addressed to some extent through improvements in the national referral system. By reducing the number of referrals from district hospitals to referral hospitals, the scale efficiencies of both district and referral hospitals would be improved simultaneously. The most significant efficiency savings can be achieved through improved redistribution of clinical staff and allocation of non-salary-recurrent expenditure budgets. Assuming that all facilities would address these inefficiencies, the total savings for the relevant hospitals would amount to 32 percent in clinical staff costs, 5 percent in nonclinical staff costs, 46 percent in recurrent expenditures, and 14 percent in the number of beds. While measures to achieve cost savings in some of these areas cannot be implemented in the short term, such as a reduction in a facility’s size and bed capacity, there are other measures that the MoHSS could improve as a matter of priority. The two critical considerations for the ministry would be the reallocation of clinical staff and the introduction of an appropriate resource allocation formula that would allow for resources to be distributed to regions and their respective health facilities and hospitals according to the health needs and utilization of health services. With the current pressure on government in terms of budget cuts, economic constraints, and reducing donor funding for health, it is critical that the government take action to ensure that the limited resources available are used to their maximum benefit. Efficiency measures should be instituted as a matter of priority and pursued consistently to ensure that the health gains achieved with the resources available are maximized.
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  • 27. 15 5. REFERENCES 1. E. Zere, T. Mbeeli, K. Shangula, C. Mandlhate, K. Mutirua, B. Tjivambi., and W. Kapenambili, “Technical Efficiency of District Hospitals: Evidence From Namibia Using Data Envelopment Analysis,” Cost Effectiveness and Resource Allocation, 4:5 (2006). 2. Coelli TJ: A guide to DEAP Version 2.1: A Data Envelopment Analysis (computer) Programme. University of New England, Department of Econometrics. CEPA Working Paper 96/8 1996 3. Efron B: The jackknife, the bootstrap and other resampling plans. Philadelphia: Society for Industrial and Applied Mathematics; 1982.