Investigating hospital efficiency in the new NHS: the role of the translog cost function

Two-Step Estimation of the Impact of Contextual Variables on Technical Efficiency of Hospitals: The Case Study of Public Hospitals in Iran

Background: Measuring the efficiency and productivity of hospitals is a key tool to cost contamination and management that is very important for any healthcare system for having an efficient system. Objective: The purpose of this study is to examine the effects of contextual factors on hospital efficiency in Iranian public hospitals. Methods: This was a quantitative and descriptive-analytical study conducted in two steps. First, we measured the efficiency score of teaching and non-teaching hospitals by using the Data Envelopment Analysis (DEA) method. Second, the relationship between efficiency score and contextual factors was analyzed. We used median statistics (first and third quarters) to describe the concentration and distribution of each variable in teaching and non-teaching hospitals, then the Wilcoxon test was used to compare them. The Spearman test was used to evaluate the correlation between the efficiency of hospitals and contextual variables (province area, province population, population density, and the number of beds per hospital). Results: On average, the efficiency score in non-teaching hospitals in 31 provinces was 0.67 and for teaching hospitals was 0.54. Results showed that there is no significant relationship between the efficiency score and the number of hospitals in the provinces (p = 0.1 and 0.15, respectively). The relationship between the number of hospitals and the population of the province was significant and positive. Also, there was a positive relationship between the number of beds and the area of the province in both types of teaching and non-teaching hospitals. Conclusion: Multilateral factors influence the efficiency of hospitals and to address hospital inefficiency multi-intervention packages focusing on the hospital and its context should be developed. It is necessary to pay attention to contextual factors and organizational architecture to improve efficiency.

Estimating the Unit Costs of Healthcare Service Delivery in India: Addressing Information Gaps for Price Setting and Health Technology Assessment

BACKGROUND

India's flagship National Health insurance programme (AB-PMJAY) requires accurate cost information for evidence-based decision-making, strategic purchasing of health services and setting reimbursement rates. To address the challenge of limited health service cost data, this study used econometric methods to identify determinants of cost and estimate unit costs for each Indian state.

METHODS

Using data from 81 facilities in six states, models were developed for inpatient and outpatient services at primary and secondary level public health facilities. A best-fit unit cost function was identified using guided stepwise regression and combined with data on health service infrastructure and utilisation to predict state-level unit costs.

RESULTS

Health service utilisation had the greatest influence on unit cost, while number of beds, facility level and the state were also good predictors. For district hospitals, predicted cost per inpatient admission ranged from 1028 (313-3429) Indian Rupees (INR) to 4499 (1451-14,159) INR and cost per outpatient visit ranged from 91 (44-196) INR to 657 (339-1337) INR, across the states. For community healthcare centres and primary healthcare centres, cost per admission ranged from 412 (148-1151) INR to 3677 (1359-10,055) INR and cost per outpatient visit ranged from 96 (50-187) INR to 429 (217-844) INR.

CONCLUSION

This is the first time cost estimates for inpatient admissions and outpatient visits for all states have been estimated using standardised data. The model demonstrates the usefulness of such an approach in the Indian context to help inform health technology assessment, budgeting and forecasting, as well as differential pricing, and could be applied to similar country contexts where cost data are limited.

Efficiency and optimal size of hospitals: Results of a systematic search

Background

National Health Systems managers have been subject in recent years to considerable pressure to increase concentration and allow mergers. This pressure has been justified by a belief that larger hospitals lead to lower average costs and better clinical outcomes through the exploitation of economies of scale. In this context, the opportunity to measure scale efficiency is crucial to address the question of optimal productive size and to manage a fair allocation of resources.

Methods and findings

This paper analyses the stance of existing research on scale efficiency and optimal size of the hospital sector. We performed a systematic search of 45 past years (1969–2014) of research published in peer-reviewed scientific journals recorded by the Social Sciences Citation Index concerning this topic. We classified articles by the journal’s category, research topic, hospital setting, method and primary data analysis technique. Results showed that most of the studies were focussed on the analysis of technical and scale efficiency or on input / output ratio using Data Envelopment Analysis. We also find increasing interest concerning the effect of possible changes in hospital size on quality of care.

Conclusions

Studies analysed in this review showed that economies of scale are present for merging hospitals. Results supported the current policy of expanding larger hospitals and restructuring/closing smaller hospitals. In terms of beds, studies reported consistent evidence of economies of scale for hospitals with 200–300 beds. Diseconomies of scale can be expected to occur below 200 beds and above 600 beds.

Assessing the relationships between hospital resources and activities: a systematic review

Face the challenge of minimizing their resource utilization without reducing the quality of healthcare. Achieving this aim requires precise analysis and optimization of various inputs and outputs. This paper presents a systematic review of the relationships between hospital resources (considered productivity inputs) and financial and activity outcomes (considered productivity outputs). Several electronic bibliographic databases and the Internet were searched for articles published between January 1990 and December 2013 that examined the relationships between hospital resources and financial and activity outcomes. We assessed the quality of the study design, the nature of the sample, input and output indicators, and the statistical methods used for each selected study. Thirty-eight original papers were selected. Data Envelopment Analysis (DEA) and Stochastic Frontier Analysis (SFA) were the most statistical methods used. Based on our analysis, we retained 18 input and 19 output indicators that could constitute the basis for hospital productivity benchmarking. Selecting a small set of shared economic and activity indicators is relevant for assessing the productivity of a hospital, measuring trends and performing national or international benchmarking. Such indicators should be combined with quality measures for a comprehensive evaluation approach.

A cost function for HIV prevention services: is there a 'u' - shape?

Background

Global resource needs estimation is a critical part of addressing the HIV/AIDS epidemic. To generate these estimates knowledge of costs and cost structures is required. The evidence base for costs of HIV prevention programmes is limited. Even less is known about the existence of economies scale and whether, as economic theory suggests, average costs form a 'u'-shaped curve as scale increases. Using an econometric analysis, this paper addresses this question by estimating marginal costs and economies of scale for HIV prevention programmes for vulnerable groups in Southern India with different levels of coverage.

Methods

Two hybrid translog-cost functions were estimated. First, expenditure data from 78 state-funded HIV prevention projects in Andhra Pradesh were used to explore the impact of scale, institutional history and price on costs; second, economic cost data from 16 commercial sex worker projects across Tamil Nadu and Andhra Pradesh were analysed to additionally assess the impact of the value of inputs not reported in expenditure data and location. Coefficient estimates were used to calculate marginal costs and economies of scale.

Results

The econometric model yielded a good fit (R² = 0.46, p < 0.001 and R² = 0.79, p < 0.001, for the expenditure and economic cost datasets, respectively). The economies of scale index was greater than 1 for both datasets and fell as coverage increased. Analysis of the expenditure data found economies of scale were not exhausted, with a 0.002% change in total cost for each extra person reached and an 11% difference in total cost between target group categories. Estimation using the economic cost data suggests a point of minimum efficient scale at around 1750–2000 people reached, a 0.03% change in total cost for each extra person reached, and 28% lower costs in Tamil Nadu than Andhra Pradesh.

Conclusion

Econometric analysis of these standardized datasets provides insights into how costs change with coverage, the impact of project location and nature of the project target group. The results demonstrate the importance of understanding the nature of the cost function when designing, budgeting and estimating resource requirements for scaling up coverage of HIV prevention projects.

The impact of contracting-out on health system performance: A conceptual framework

Despite the increased popularity of contracting-out of health services in developing countries, its effectiveness on overall health system performance is not yet conclusive. Except for substantial evidence of contracting-out's positive effect on access to health services and some evidence on improved equity in access, there is little evidence of contracting-out's impact on quality and efficiency. Most studies on the subject evaluate specific contracting-out projects against narrowly specified project objectives, not against more broadly defined health system goals. For this reason, conclusions of positive effects pertaining to project level may not hold at system level. This paper presents a conceptual framework that is expected to facilitate comprehensive, rigorous, and standardized evaluation of contracting-out at health system level. Specifically, this framework supports: full and standardized description of contracting-out interventions, study of the determinants of effectiveness, examination of provider and purchaser responses, assessment of the impact of contracting-out on all dimensions of health system performance, and cross-project analyses.

Measuring operational efficiency in a health care system: a case study from Thailand

This paper investigates the economic relationship among medical resources and efficiency of the health care system in a developing Asian country. The rapid growth in the use of limited resources and the escalating national health expenditure, raise the critical economic question of whether the use of health care resources are efficient. We estimated a four-factor production system, based on 1982-1997 annual operational data comprising five cross-sectional regions per year. The translog production function and three derived demand for factor input equations were jointly estimated using systems regression method. Results show that different types of medical care workers (doctors, nurses, pharmacists) influenced efficiency differently. The marginal products (MPs) of nurses and capital are the highest and they varied across the regions. Third, the estimates of factor substitution possibilities indicate difficult factor adjustments; these estimates differ in magnitudes and significance across regions but they similarly classify all but one (different) input pair as economic substitutes. Fourth, the regional variations in returns to scale estimates in live births tend to converge to that of the Bangkok metropolis. Finally, technical change is physician and pharmacist labor using, but capital and nursing labor saving. Policy implications of these findings touch on Article 78 of the Thailand Constitution.

Cost characteristics of hospitals

Modern hospitals are complex multi-product organisations. The analysis of a hospital's production and/or cost structure should therefore use the appropriate techniques. Flexible functional forms based on the neo-classical theory of the firm seem to be most suitable. Using neo-classical cost functions implicitly assumes minimisation of (variable) costs given that input prices and outputs are exogenous. Local and global properties of flexible functional forms and short-run versus long-run equilibrium are further issues that require thorough investigation. In order to put the results based on econometric estimations of cost functions in the right perspective, it is important to keep these considerations in mind when using flexible functional forms. The more recent studies seem to agree that hospitals generally do not operate in their long-run equilibrium (they tend to over-invest in capital (capacity and equipment)) and that it is therefore appropriate to estimate a short-run variable cost function. However, few studies explicitly take into account the implicit assumptions and restrictions embedded in the models they use. An alternative method to explain differences in costs uses management accounting techniques to identify the cost drivers of overhead costs. Related issues such as cost-shifting and cost-adjusting behaviour of hospitals and the influence of market structure on competition, prices and costs are also discussed shortly.

Efficiency and administrative costs in primary care

We use a formal model to examine the implications of endogenous managerial effort for the interpretation and estimation of efficiency in health care organisations. The model is applied to investigate the doubling of the cost of administering primary care in England in real terms between 1989/1990 and 1994/1995. The main cost determinant was the number of general practitioners (GPs), and there were economies of scale but not of scope. Fund-holding had a positive but small effect on administrative costs, so that the recent abolition of fund-holding may do little to reduce primary care administrative costs. After allowing for changes in the numbers of primary care practitioners, the quality of primary care and the extent of fund-holding, most of the increase in costs was unexplained, and may reflect additional but unmeasured increases in the administrative burden associated with the 1990 reforms. There was little variation in relative efficiency across areas.

A comparison of hospital scale effects in short-run and long-run cost functions

Numerous estimates of economies of scale in the hospital setting have been obtained since the early 1980s from both flexible long-run and short-run cost functions. Although the theoretical superiority of the latter approach is widely recognized, it has been previously suggested that the two cost specifications yield quite similar econometric findings regarding scale effects. This paper utilizes a new data set consisting of 91 Greek NHS hospitals in order to empirically examine this proposition by comparing economies of scale estimates derived from both translog total and variable cost functions. The results indicate that the use of long-run equations might seriously mislead policy makers and that constant returns to scale prevail in Greek public hospitals.