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Zubir MZ, Noor AA, Mohd Rizal AM, Harith AA, Abas MI, Zakaria Z, A. Bakar AF. Approach in inputs & outputs selection of Data Envelopment Analysis (DEA) efficiency measurement in hospitals: A systematic review. PLoS One 2024; 19:e0293694. [PMID: 39141630 PMCID: PMC11324144 DOI: 10.1371/journal.pone.0293694] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/29/2023] [Accepted: 06/26/2024] [Indexed: 08/16/2024] Open
Abstract
The efficiency and productivity evaluation process commonly employs Data Envelopment Analysis (DEA) as a performance tool in numerous fields, such as the healthcare industry (hospitals). Therefore, this review examined various hospital-based DEA articles involving input and output variable selection approaches and the recent DEA developments. The Preferred Reporting Items for Systematic Reviews and Meta-Analyses (PRISMA) methodology was utilised to extract 89 English articles containing empirical data between 2014 and 2022 from various databases (Web of Science, Scopus, PubMed, ScienceDirect, Springer Link, and Google Scholar). Furthermore, the DEA model parameters were determined using information from previous studies, while the approaches were identified narratively. This review grouped the approaches into four sections: literature review, data availability, systematic method, and expert judgement. An independent single strategy or a combination with other methods was then applied to these approaches. Consequently, the focus of this review on various methodologies employed in hospitals could limit its findings. Alternative approaches or techniques could be utilised to determine the input and output variables for a DEA analysis in a distinct area or based on different perspectives. The DEA application trend was also significantly similar to that of previous studies. Meanwhile, insufficient data was observed to support the usability of any DEA model in terms of fitting all model parameters. Therefore, several recommendations and methodological principles for DEA were proposed after analysing the existing literature.
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Affiliation(s)
- M. Zulfakhar Zubir
- Medical Development Division, Ministry of Health Malaysia, Putrajaya, Malaysia
- Department of Public Health Medicine, Faculty of Medicine, Universiti Kebangsaan Malaysia, Kuala Lumpur, Malaysia
| | - A. Azimatun Noor
- Department of Public Health Medicine, Faculty of Medicine, Universiti Kebangsaan Malaysia, Kuala Lumpur, Malaysia
| | - A. M. Mohd Rizal
- Department of Public Health Medicine, Faculty of Medicine, Universiti Kebangsaan Malaysia, Kuala Lumpur, Malaysia
| | - A. Aziz Harith
- Occupational and Aviation Medicine Department, University of Otago Wellington, Wellington, New Zealand
| | - M. Ihsanuddin Abas
- Department of Public Health, Faculty of Medicine, Universiti Sultan Zainal Abidin, Terengganu, Malaysia
| | - Zuriyati Zakaria
- Medical Development Division, Ministry of Health Malaysia, Putrajaya, Malaysia
| | - Anwar Fazal A. Bakar
- Department of Public Health Medicine, Faculty of Medicine, Universiti Kebangsaan Malaysia, Kuala Lumpur, Malaysia
- Medical Practice Division, Ministry of Health Malaysia, Putrajaya, Malaysia
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Pai DR, Pakdil F, Azadeh-Fard N. Applications of data envelopment analysis in acute care hospitals: a systematic literature review, 1984-2022. Health Care Manag Sci 2024; 27:284-312. [PMID: 38438649 DOI: 10.1007/s10729-024-09669-4] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/01/2022] [Accepted: 02/20/2024] [Indexed: 03/06/2024]
Abstract
This study reviews scholarly publications on data envelopment analysis (DEA) studies on acute care hospital (ACH) efficiency published between 1984 and 2022 in scholarly peer-reviewed journals. We employ systematic literature review (SLR) method to identify and analyze pertinent past research using predetermined steps. The SLR offers a comprehensive resource that meticulously analyzes DEA methodology for practitioners and researchers focusing on ACH efficiency measurement. The articles reviewed in the SLR are analyzed and synthesized based on the nature of the DEA modelling process and the key findings from the DEA models. The key findings from the DEA models are presented under the following sections: effects of different ownership structures; impacts of specific healthcare reforms or other policy interventions; international and multi-state comparisons; effects of changes in competitive environment; impacts of new technology implementations; effects of hospital location; impacts of quality management interventions; impact of COVID-19 on hospital performance; impact of teaching status, and impact of merger. Furthermore, the nature of DEA modelling process focuses on use of sensitivity analysis; choice of inputs and outputs; comparison with Stochastic Frontier Analysis; use of congestion analysis; use of bootstrapping; imposition of weight restrictions; use of DEA window analysis; and exogenous factors. The findings demonstrate that, despite several innovative DEA extensions and hospital applications, over half of the research used the conventional DEA models. The findings also show that the most often used inputs in the DEA models were labor-oriented inputs and hospital beds, whereas the most frequently used outputs were outpatient visits, followed by surgeries, admissions, and inpatient days. Further research on the impact of healthcare reforms and health information technology (HIT) on hospital performance is required, given the number of reforms being implemented in many countries and the role HIT plays in enhancing care quality and lowering costs. We conclude by offering several new research directions for future studies.
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Affiliation(s)
- Dinesh R Pai
- School of Business Administration, Penn State Harrisburg, 777 West Harrisburg Pike, Middletown, PA, 17057, USA
| | - Fatma Pakdil
- College of Business, Eastern Connecticut State University, 83 Windham St, Willimantic, CT, 06226, USA.
| | - Nasibeh Azadeh-Fard
- Rochester Institute of Technology, Kate Gleason College of Engineering, Rochester, NY, 14623, USA
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The spatial spillover effect of environmental regulation on the total factor productivity of pharmaceutical manufacturing industry in China. Sci Rep 2022; 12:11642. [PMID: 35804005 PMCID: PMC9264754 DOI: 10.1038/s41598-022-15614-8] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/16/2022] [Accepted: 06/27/2022] [Indexed: 11/08/2022] Open
Abstract
As an important embodiment of a country's economic strength and national health, pharmaceutical manufacturing industry has made rapid development in China in recent years. But at the same time, the pharmaceutical manufacturing industry is facing many environmental problems, such as large pollution emissions, complex pollution components, controlling difficulties and so on. This paper measures the total factor productivity of pharmaceutical manufacturing industry (HTFP) by using data envelopment analysis with unexpected output, which is more accurate and effective than the traditional model. It also studies the effect of environmental regulation on the total factor productivity of pharmaceutical manufacturing industry (HTFP) by establishing panel data regression model and spatial econometric model based on 30 provinces in China from 2004 to 2019, which enriches the research results in the field of cleaning in pharmaceutical manufacturing industry. The conclusions are as follows: (1) Environmental regulation and total factor productivity of pharmaceutical manufacturing industry have significant spatial autocorrelation, showing "high-high" or "low-low" spatial aggregation characteristics; (2) Environmental regulation has a significant promoting effect on improving pharmaceutical manufacturing total factor productivity in local and surrounding areas, and there are differences in the impact of eastern, central and western regions; (3) Green technology, production technology and industrial structure play an important role in the impact of environmental regulation on pharmaceutical manufacturing total factor productivity, which provides theoretical guidance and policy recommendations for improving the level of total factor productivity of pharmaceutical manufacturing industry in the environmental aspect.
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Alatawi A, Ahmed S, Niessen L, Khan J. Systematic review and meta-analysis of public hospital efficiency studies in Gulf region and selected countries in similar settings. COST EFFECTIVENESS AND RESOURCE ALLOCATION 2019; 17:17. [PMID: 31406487 PMCID: PMC6685225 DOI: 10.1186/s12962-019-0185-4] [Citation(s) in RCA: 11] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/09/2018] [Accepted: 08/01/2019] [Indexed: 11/10/2022] Open
Abstract
Background The assessment of hospital efficiency is attracting interest worldwide, particularly in Gulf Cooperation Council (GCC) countries. The objective of this study was to review the literature on public hospital efficiency and synthesise the findings in GCC countries and comparable settings. Methods We systematically searched six scientific databases, references and grey literature for studies that measured the efficiency of public hospitals in appropriate countries, and followed PRISMA guidelines to present the results. We summarised the included studies in terms of samples, methods/technologies and findings, then assessed their quality. We meta-analysed the efficiency estimates using Spearman's rank correlations and logistic regression, to examine the internal validity of the findings. Results We identified and meta-analysed 22 of 1128 studies. Four studies were conducted in GCC nations, 18 came from Iran and Turkey. The pooled technical-efficiency (TE) was 0.792 (SE ± 0.03). There were considerable variations in model specification, analysis orientation and variables used in the studies, which influenced efficiency estimates. The studies lacked some elements required in quality appraisal, achieving an average of 73%. Meta-analysis showed negative correlations between sample size and efficiency scores; the odd ratio was 0.081 (CI 0.005: 1.300; P value = 0.07) at 10% risk level. The choice of model orientation was significantly influenced (82%) by the studied countries' income categories, which was compatible with the strategic plans of these countries. Conclusions The studies showed methodological and qualitative deficiencies that limited their credibility. Our review suggested that methodology and assumption choices have a substantial impact on efficiency measurements. Given the GCC countries' strategic plans and resource allocations, these nations need further efficiency research using high-quality data, different orientations and developed models. This will establish an evidence-based knowledge base appropriate for use in public hospital assessments, policy- and decision-making and the assurance of value for money.
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Affiliation(s)
- Ahmed Alatawi
- 1Health Economics Group, Department of Clinical Sciences, Liverpool School of Tropical Medicine, LSTM, Room 1966-215-206, Pembroke Place, Liverpool, L3 5QA UK.,2Department of Clinical Pharmacy, College of Pharmacy, Al-Jouf University, 2014, King Khaled Road, Sakakah, Saudi Arabia
| | - Sayem Ahmed
- 1Health Economics Group, Department of Clinical Sciences, Liverpool School of Tropical Medicine, LSTM, Room 1966-215-206, Pembroke Place, Liverpool, L3 5QA UK.,3Health Economics and Financing Research Group, Health System and Population Studies Division, International Centre for Diarrhoeal Disease Research, Bangladesh (icddr,b), Dhaka, Bangladesh.,4Health Economics and Policy Research Group, Department of Learning, Informatics, Management and Ethics (LIME), Karolinska Institute, Stockholm, Sweden
| | - Louis Niessen
- 1Health Economics Group, Department of Clinical Sciences, Liverpool School of Tropical Medicine, LSTM, Room 1966-215-206, Pembroke Place, Liverpool, L3 5QA UK.,5Division of Health Sciences, University of Warwick, Warwick, UK.,6Department of International Health Systems, Johns Hopkins Bloomberg School of Public Health, Baltimore, USA
| | - Jahangir Khan
- 1Health Economics Group, Department of Clinical Sciences, Liverpool School of Tropical Medicine, LSTM, Room 1966-215-206, Pembroke Place, Liverpool, L3 5QA UK.,3Health Economics and Financing Research Group, Health System and Population Studies Division, International Centre for Diarrhoeal Disease Research, Bangladesh (icddr,b), Dhaka, Bangladesh.,4Health Economics and Policy Research Group, Department of Learning, Informatics, Management and Ethics (LIME), Karolinska Institute, Stockholm, Sweden
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Road map for progress and attractiveness of Iranian hospitals by integrating self-organizing map and context-dependent DEA. Health Care Manag Sci 2019; 22:410-436. [PMID: 31081531 DOI: 10.1007/s10729-019-09484-2] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/14/2018] [Accepted: 04/09/2019] [Indexed: 10/26/2022]
Abstract
Hospitals play an important role in healthcare systems and usually stay on the end node of the healthcare chain. Thus, determining their road map to get close to the desired efficiency frontier and developing short-term and long-term plans could help to manage costs and resources, efficiently. As the efficiency frontier depends on the size of the hospital and the complexity of its structure, the homogeneity in benchmarking must be considered. For tackling this problem, the self-organizing map (SOM) is used to create homogeneous groups. On the other hand, data envelopment analysis (DEA) is a well-known methodology for evaluating decision-making units. Each unit obtains the efficiency score based on the ratio of weighted outputs to weighted inputs, where each unit can take the desirable weights for inputs and outputs to provide the maximum value. One of the problems of DEA is the selection of the reference set and distinguishing between the efficient hospitals. To overcome these problems, the context-depended DEA has been applied and the progress and attractiveness of hospitals are obtained. To evaluate the capability of the proposed approach, data of 288 Iranian hospitals are utilized. By applying SOM the hospitals are clustered into appropriate homogeneous groups and by applying context-dependent DEA, the road map for progress and attractiveness of each hospital is determined. In other words, using the proposed approach the hospitals are able to determine the short and long-term goals according to their strategic plans.
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Liu S, Huang J, Li Y, Fan J, Liang H, Lou J, Jing Y, Zhang Y. Longitudinal Evaluation on the Operation Index Applied to Public Hospitals in Pudong New District of Shanghai, China. INQUIRY: The Journal of Health Care Organization, Provision, and Financing 2018; 55:46958018790594. [PMID: 30129383 PMCID: PMC6104210 DOI: 10.1177/0046958018790594] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
Abstract
The public hospital reform has lasted 5 years in China; however, the operation development status and trends of public hospitals have not been systematically evaluated in Pudong New District. We first applied the technology of longitudinal index to assess the development of public hospitals there. The quantitative data were mainly gathered by taking health statistics database from 2009 to 2014. The results showed that overall operating index presented a down-up trend, with the highest point in 2014 and the lowest point in 2012. Overall operating index, development foundation index, and management condition index were found to be statistically different (P = .010, P = .016, P = .031) in different years, whereas the service operation index and financial risk index were not so (P = .543, P = .228). Moreover, the results demonstrated that no obvious difference was observed in the overall operating index between the general and specialized hospitals (P = .327), which was the same in the 4 first-class indexes. However, there were statistical differences in the overall operating index and development foundation index among these 5 years (P = .018, P = .036), but none in the service operation index, management condition index, and financial risk index (P = .503, P = .062, P = .177). No interaction effects were discovered between year and hospital categories in the current study (P = .673, P = .375, P = .885, P = .152, P = .288).
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Affiliation(s)
- Shanshan Liu
- 1 Pudong Institute for Health Development, Shanghai, China
| | | | - Yanting Li
- 1 Pudong Institute for Health Development, Shanghai, China.,2 Fudan University, Shanghai, China
| | - Jincheng Fan
- 3 Health and Family Planning Commission of Pudong New District, Shanghai, China
| | - Hong Liang
- 1 Pudong Institute for Health Development, Shanghai, China.,2 Fudan University, Shanghai, China
| | - Jiquan Lou
- 1 Pudong Institute for Health Development, Shanghai, China
| | - Yuan Jing
- 1 Pudong Institute for Health Development, Shanghai, China
| | - Yimin Zhang
- 1 Pudong Institute for Health Development, Shanghai, China
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Stefko R, Gavurova B, Kocisova K. Healthcare efficiency assessment using DEA analysis in the Slovak Republic. HEALTH ECONOMICS REVIEW 2018; 8:6. [PMID: 29523981 PMCID: PMC5845086 DOI: 10.1186/s13561-018-0191-9] [Citation(s) in RCA: 36] [Impact Index Per Article: 6.0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/27/2017] [Accepted: 03/06/2018] [Indexed: 05/06/2023]
Abstract
A regional disparity is becoming increasingly important growth constraint. Policy makers need quantitative knowledge to design effective and targeted policies. In this paper, the regional efficiency of healthcare facilities in Slovakia is measured (2008-2015) using data envelopment analysis (DEA). The DEA is the dominant approach to assessing the efficiency of the healthcare system but also other economic areas. In this study, the window approach is introduced as an extension to the basic DEA models to evaluate healthcare technical efficiency in individual regions and quantify the basic regional disparities and discrepancies. The window DEA method was chosen since it leads to increased discrimination on results especially when applied to small samples and it enables year-by-year comparisons of the results. Two stable inputs (number of beds, number of medical staff), three variable inputs (number of all medical equipment, number of magnetic resonance (MR) devices, number of computed tomography (CT) devices) and two stable outputs (use of beds, average nursing time) were chosen as production variable in an output-oriented 4-year window DEA model for the assessment of technical efficiency in 8 regions. The database was made available from the National Health Information Center and the Slovak Statistical Office, as well as from the online databases Slovstat and DataCube. The aim of the paper is to quantify the impact of the non-standard Data Envelopment Analysis (DEA) variables as the use of medical technologies (MR, CT) on the results of the assessment of the efficiency of the healthcare facilities and their adequacy in the evaluation of the monitored processes. The results of the analysis have shown that there is an indirect dependence between the values of the variables over time and the results of the estimated efficiency in all regions. The regions that had low values of the variables over time achieved a high degree of efficiency and vice versa. Interesting knowledge was that the gradual addition of variables number of MR, number of CT and number of medical devices together, to the input side did not have a significant impact on the overall estimated efficiency of healthcare facilities.
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Affiliation(s)
- Robert Stefko
- Faculty of Management, The University of Presov, Presov, Slovakia
| | - Beata Gavurova
- Faculty of Economics, Technical University of Kosice, Kosice, Slovakia
| | - Kristina Kocisova
- Faculty of Economics, Technical University of Kosice, Kosice, Slovakia
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Kohl S, Schoenfelder J, Fügener A, Brunner JO. The use of Data Envelopment Analysis (DEA) in healthcare with a focus on hospitals. Health Care Manag Sci 2018; 22:245-286. [DOI: 10.1007/s10729-018-9436-8] [Citation(s) in RCA: 152] [Impact Index Per Article: 25.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/31/2017] [Accepted: 01/29/2018] [Indexed: 12/21/2022]
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Pérez-Romero C, Ortega-Díaz MI, Ocaña-Riola R, Martín-Martín JJ. [Analysis of the technical efficiency of hospitals in the Spanish National Health Service]. GACETA SANITARIA 2016; 31:108-115. [PMID: 28043697 DOI: 10.1016/j.gaceta.2016.10.007] [Citation(s) in RCA: 20] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/28/2016] [Revised: 10/06/2016] [Accepted: 10/11/2016] [Indexed: 11/17/2022]
Abstract
OBJECTIVE To analyse the technical efficiency and productivity of general hospitals in the Spanish National Health Service (NHS) (2010-2012) and identify explanatory hospital and regional variables. METHODS 230 NHS hospitals were analysed by data envelopment analysis for overall, technical and scale efficiency, and Malmquist index. The robustness of the analysis is contrasted with alternative input-output models. A fixed effects multilevel cross-sectional linear model was used to analyse the explanatory efficiency variables. RESULTS The average rate of overall technical efficiency (OTE) was 0.736 in 2012; there was considerable variability by region. Malmquist index (2010-2012) is 1.013. A 23% variability in OTE is attributable to the region in question. Statistically significant exogenous variables (residents per 100 physicians, aging index, average annual income per household, essential public service expenditure and public health expenditure per capita) explain 42% of the OTE variability between hospitals and 64% between regions. The number of residents showed a statistically significant relationship. As regards regions, there is a statistically significant direct linear association between OTE and annual income per capita and essential public service expenditure, and an indirect association with the aging index and annual public health expenditure per capita. DISCUSSION The significant room for improvement in the efficiency of hospitals is conditioned by region-specific characteristics, specifically aging, wealth and the public expenditure policies of each one.
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Affiliation(s)
| | | | - Ricardo Ocaña-Riola
- Escuela Andaluza de Salud Pública, Granada, España; Instituto de Investigación Biosanitaria de Granada, Granada, España
| | - José Jesús Martín-Martín
- Instituto de Investigación Biosanitaria de Granada, Granada, España; Departamento de Economía Aplicada, Universidad de Granada, Granada, España
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Jahangoshai Rezaee M, Yousefi S, Hayati J. A decision system using fuzzy cognitive map and multi-group data envelopment analysis to estimate hospitals’ outputs level. Neural Comput Appl 2016. [DOI: 10.1007/s00521-016-2478-2] [Citation(s) in RCA: 30] [Impact Index Per Article: 3.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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11
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Villalobos-Cid M, Chacón M, Zitko P, Instroza-Ponta M. A New Strategy to Evaluate Technical Efficiency in Hospitals Using Homogeneous Groups of Casemix : How to Evaluate When There is Not DRGs? J Med Syst 2016; 40:103. [PMID: 26880102 DOI: 10.1007/s10916-016-0458-9] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/07/2015] [Accepted: 01/29/2016] [Indexed: 01/16/2023]
Abstract
The public health system has restricted economic resources. Because of that, it is necessary to know how the resources are being used and if they are properly distributed. Several works have applied classical approaches based in Data Envelopment Analysis (DEA) and Stochastic Frontier Analysis (SFA) for this purpose. However, if we have hospitals with different casemix, this is not the best approach. In order to avoid biases in the comparisons, other works have recommended the use of hospital production data corrected by the weights from Diagnosis Related Groups (DRGs), to adjust the casemix of hospitals. However, not all countries have this tool fully implemented, which limits the efficiency evaluation. This paper proposes a new approach for evaluating the efficiency of hospitals. It uses a graph-based clustering algorithm to find groups of hospitals that have similar production profiles. Then, DEA is used to evaluate the technical efficiency of each group. The proposed approach is tested using the production data from 2014 of 193 Chilean public hospitals. The results allowed to identify different performance profiles of each group, that differs from other studies that employs data from partially implemented DRGs. Our results are able to deliver a better description of the resource management of the different groups of hospitals. We have created a website with the results ( bioinformatic.diinf.usach.cl/publichealth ). Data can be requested to the authors.
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Affiliation(s)
- Manuel Villalobos-Cid
- Departamento de Ingeniería Informática, Facultad de Ingeniería, Universidad de Santiago de Chile, Santiago, Chile
| | - Max Chacón
- Departamento de Ingeniería Informática, Facultad de Ingeniería, Universidad de Santiago de Chile, Santiago, Chile
| | - Pedro Zitko
- Unidad de Estudios Asistenciales, Hospital Barros Luco Trudeau, Facultad de Medicina, Universidad Diego Portales, Santiago, Chile
| | - Mario Instroza-Ponta
- Departamento de Ingeniería Informática, Facultad de Ingeniería, Universidad de Santiago de Chile, Santiago, Chile.
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Barnum DT, Johnson M, Gleason JM. Importance of Statistical Evidence in Estimating Valid DEA Scores. J Med Syst 2015; 40:47. [PMID: 26643077 DOI: 10.1007/s10916-015-0408-y] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/06/2015] [Accepted: 11/16/2015] [Indexed: 11/24/2022]
Abstract
Data Envelopment Analysis (DEA) allows healthcare scholars to measure productivity in a holistic manner. It combines a production unit's multiple outputs and multiple inputs into a single measure of its overall performance relative to other units in the sample being analyzed. It accomplishes this task by aggregating a unit's weighted outputs and dividing the output sum by the unit's aggregated weighted inputs, choosing output and input weights that maximize its output/input ratio when the same weights are applied to other units in the sample. Conventional DEA assumes that inputs and outputs are used in different proportions by the units in the sample. So, for the sample as a whole, inputs have been substituted for each other and outputs have been transformed into each other. Variables are assigned different weights based on their marginal rates of substitution and marginal rates of transformation. If in truth inputs have not been substituted nor outputs transformed, then there will be no marginal rates and therefore no valid basis for differential weights. This paper explains how to statistically test for the presence of substitutions among inputs and transformations among outputs. Then, it applies these tests to the input and output data from three healthcare DEA articles, in order to identify the effects on DEA scores when input substitutions and output transformations are absent in the sample data. It finds that DEA scores are badly biased when substitution and transformation are absent and conventional DEA models are used.
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Affiliation(s)
- Darold T Barnum
- College of Business Administration, College of Pharmacy, University of Illinois at Chicago, 601 S. Morgan St. (M/C 243), Chicago, IL, 60607, USA.
| | - Matthew Johnson
- College of Medicine, University of Illinois at Chicago, 1919 West Taylor Street, Room 149, Chicago, IL, 60612, USA
| | - John M Gleason
- College of Business Administration (Emeritus), Creighton University, Omaha, NE, 68178, USA
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