Estimating hospital costs with a generalized Leontief function

Transit and treatment: Aligning systems to address substance use in Connecticut

OBJECTIVE

Test hypotheses that proximity to new transit improves substance use disorder treatment provider cost efficiency (i.e., economies of scale and scope).

DATA SOURCES AND STUDY SETTING

Connecticut substance uses disorder treatment providers/programs. A 2015 rapid transit line opening with 10 stations, near some providers/programs. Providers' annual operating costs from publicly available federal tax forms (2013-2018). Annual client counts, service-type (including substance use disorder and/or mental health, among others), and location data, for 50 providers and their programs, from Department of Mental Health and Addiction Services, with an unbalanced panel of 285 provider-years.

STUDY DESIGN

Economies of scale occur when the percent change in operating costs is less than the percentage change in clients. Economies of scope occur when operating costs fall as providers treat clients with multiple service needs. With our quasi-experimental, multivariate regressions approach, we test hypotheses that proximity to a new transit line enhances economies of scale and scope (i.e., lowers unit operating costs).

DATA COLLECTION/EXTRACTION METHODS

Annual provider-level operating costs merged with new transit station locations and Department of Mental Health and Addiction Services program/provider-level secondary data (locations, client counts/completions/dates, service types, and average demographics).

PRINCIPAL FINDINGS

For providers with programs within 1-mile of new transit (compared with a "control" sample beyond 1-mile of new transit), (i) a 10% increase in clients leads to a 0.12% lower operating costs per client; (ii) a 10% increase in clients completing treatment results in a 1.5% decrease in operating costs per client; (iii) a 10% increase in clients receiving treatment for multiple services causes a 0.81% lower operating costs per client; (iv) offering multiple services leads to 6.3% lower operating costs.

CONCLUSIONS

New transit proximity causes operating cost savings for substance use disorder/mental health treatment providers. System alignment may benefit transit and health care sectors.

Production function for modeling hospital activities. The case of Polish county hospitals

The aim of the article is to present the use of production function as a source of knowledge for managers of county hospitals to make rational decisions so as to achieve economic efficiency, including naturally the financial efficiency. The healthcare sector in each country differs from other sectors of the economy. The economically effective operation of county hospitals in Poland is very difficult due to all their determinants. Therefore, all economic analyses should be used to help hospital managers achieve this goal, and production function remains underestimated as a source of knowledge. The Cobb-Douglas and translog production functions were used as sources of knowledge for decision-making by county hospitals. Total number of patient-days was a dependent variable; and the total number of beds, the number of doctors and nurses (in full time equivalents, FTEs) and costs (of materials, electricity, services) were a set of explanatory variables. The significance of explanatory variables most often appeared in models accounting for the workload of nurses. On the other hand, the greatest fit measured with the residual standard error was characterised by models accounting for the number of beds. For each type of production function, the diversified results obtained show the properties of production function. This kind of knowledge is not provided by analyses which are not based on production functions.

Costs of polish county hospitals-A behavioral panel function

In the paper the costs of Polish county hospitals in 2015-2018 are studied using behavioral cost function. The set of variables combines hospitals' characteristics which may determine their level of costs, such as the form of ownership, bed turnover rate, number of patient-days and share of beds in emergency department with environment characteristics which may influence both outsourcing costs and patients' health. In 2017 the system of basic hospital service provision (hospital network) was introduced in Poland. Dummy variables included in the model represent the category of hospital in the system. The results show that the costs may be described using fixed effect panel model. Positive impact of percentage of emergency department patients transferred to other departments and of wages is found. Higher ratio of residents and interns to doctors is found to decrease costs. Dummy variable for the period after the introduction of hospital network assumed a negative sign with costs, but the parameter remained insignificant.

Antitrust analysis with upward pricing pressure and cost efficiencies

We investigate the accuracy of UPP as a tool in antitrust analysis when there are cost efficiencies from a horizontal merger. We include merger-specific cost efficiencies in a tractable manner in the model and extend the standard UPP formulation to account for these efficiencies. The efficacy of the new UPP formulations is analyzed using Monte Carlo simulation of 40,000 mergers (8 scenarios, 5,000 mergers in each scenario). We find that the new UPP formulations yield substantial gains in prediction of post-merger prices, and there are substantial gains in merger screening accuracy as well. Moreover, the new UPP formulations outperform the standard UPP formulation at higher thresholds for all the standard cases in the paper. The results are robust to several additional analyses. The results show that including cost efficiencies in a manner guided by the theoretical model may yield substantial improvements in accuracy of UPP as a tool in antitrust analysis.

Hospital productivity bias when not adjusting for cost heterogeneity: The case of Spain

This research quantifies the bias caused in hospital productivity measurements when cost heterogeneity is not considered. A multi-output stochastic cost frontier under a normalised translog specification is used to approximate the structure of technology of a sample of public general hospitals in Spain during the period 2002–2009. To control for observable heterogeneity in costs, a set of variables related to hospital characteristics are included in the cost frontier specification (i.e., hospital complexity, degree of specialisation, availability of outpatient clinics, variety of high-technology equipment available, teaching activity and quality of care), whereas unobservable heterogeneity is accounted for by means of individual dummy variables. A measure of hospitals’ cost efficiency is first obtained, and the analysis is then completed by measuring and decomposing the total factor productivity index (TFP-I) change. Findings reveal that controlling for heterogeneity decreases total productivity from an annual average rate of 0.028% to 1.330%, mainly driven by the negative contribution of the cost efficiency change component. Hence, a bias of 1.303 percentage points in the overall TFP-I is found as consequence of not controlling for heterogeneity. In addition to this, if heterogeneity factors are not accounted for, the mean cost efficiency index during the period analysed is 0.730, figure that increases up to 0.974 if heterogeneity is considered. Hence, the omission of heterogeneity leads to a bias of 24.4 percentage points in the mean cost efficiency. Therefore, not adjusting for heterogeneity in costs gives rise to distorted measurements of hospital productivity, as well as distortions in the contribution of each of its components, which may lead to the adoption of inadequate policies and decisions on resource allocation.

Association Between Medicare's Mandatory Hospital Value-Based Purchasing Program and Cost Inefficiency

BACKGROUND

The Patient Protection and Affordable Care Act instituted pay-for-performance programs, including Hospital Value-Based Purchasing (HVBP), designed to encourage hospital quality and efficiency.

OBJECTIVE AND METHOD

While these programs have been evaluated with respect to their implications for care quality and financial viability, this is the first study to assess the relationship between hospitals' cost inefficiency and their participation in the programs. We estimate a translog specification of a stochastic cost frontier with controls for participation in the HVBP program and clinical and outcome quality for California hospitals for 2012-2015.

RESULTS

The program-participation indicators' parameters imply that participants were more cost inefficient than their peers. Further, the estimated coefficients for summary process of care quality indexes for three health conditions (acute myocardial infarction, pneumonia, and heart failure) suggest that higher quality scores are associated with increased operating costs.

CONCLUSION

The estimated coefficients for the outcome quality variables suggest that future determination of HVBP payment adjustments, which will depend solely on mortality rates as measures of clinical care quality, may not only be aligned with increasing healthcare quality but also reducing healthcare costs.

Too Big, Too Small, or Just Right? Cost-Efficiency of Environmental Inspection Services in Connecticut

OBJECTIVE

To assess optimal activity size/mix of Connecticut local public health jurisdictions, through estimating economies of scale/scope/specialization for environmental inspections/services.

DATA SOURCES/STUDY SETTING

Connecticut's 74 local health jurisdictions (LHJs) must provide environmental health services, but their efficiency or reasons for wide cost variation are unknown. The public health system is decentralized, with variation in organizational structure/size. We develop/compile a longitudinal dataset covering all 74 LHJs, annually from 2005 to 2012.

STUDY DESIGN

We estimate a public health services/inspections cost function, where inputs are translated into outputs. We consider separate estimates of economies of scale/scope/specialization for four mandated inspection types.

DATA COLLECTION/EXTRACTION METHODS

We obtain data from Connecticut Department of Public Health databases, reports, and other publicly available sources. There has been no known previous utilization of this combined dataset.

PRINCIPAL FINDINGS

On average, regional districts, municipal departments, and part-time LHJs are performing fewer than the efficient number of inspections. The full-time municipal departments and regional districts are more efficient but still not at the minimum efficient scale. The regional districts' elasticities of scale are larger, implying they are more efficient than municipal health departments.

CONCLUSIONS

Local health jurisdictions may enhance efficiency by increasing inspections and/or sharing some services.

Healthcare managers’ perception of economies of scale

Purpose

The purpose of this paper is to explore how healthcare managers perceive economies of scale and the underlying mechanisms for how scale/size affects performance.

Design/methodology/approach

Data were collected in 20 in-depth interviews with healthcare professionals from 13 healthcare delivery organizations and from a public authority that finances and contracts healthcare services. Data were coded and analysed using content analysis.

Findings

The study concludes that the impact of scale on performance is perceived by healthcare professionals to be different for different types of healthcare services: For surgery, significant scale effects related to spreading of fixed cost, the experience curve, and potential for process improvement. For inpatient care, moderate scale effects related to spreading of fixed costs and costs of doctors on on-call duty. For outpatient care, small or no scale effects.

Research limitations/implications

The small sample of interviewees from a single geographical region and healthcare system limits the applicability of the findings.

Originality/value

The paper provides insights into how healthcare managers experience scale effects and how they consider economies of scale when planning hospital configuration. Also, past studies of economies of scale in hospitals proffer mixed results and the findings in this paper indicate a possible explanation for this inconclusiveness, i.e. differences in service mix between different hospitals.

Estimation of a physician practice cost function

OBJECTIVE

The goal of the present paper is to provide evidence on the behavior of physician practice cost functions.

DATA SOURCES

Our study is based on the data of 3686 physician practices in Germany for the years 2006 to 2008.

STUDY DESIGN

We apply a translog functional form and include a comprehensive set of variables that have not been previously used in this context. A system of four equations using three-stage least squares is estimated.

PRINCIPAL FINDINGS

We find that a higher degree of specialization leads to a decrease in costs, whereas quality certification increases costs. Costs of group practices are higher than of solo practices. The latter finding can be explained by the existence of indivisibilities of expensive technical equipment. Smaller practices do not reach the critical mass to invest in certain technologies, which leads to differences in the type of health care services provided by different practice types.

CONCLUSIONS

This is the first study to use physician practices as the unit of observation and to consider the endogenous character of physician input. Our results suggest that identifying factors that influence physician practice costs is important for providing evidence-based physician payment systems and to enable decision-makers to set incentives effectively.

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.

Cost inefficiency under financial strain: a stochastic frontier analysis of hospitals in Washington State through the Great Recession

The importance of increasing cost efficiency for community hospitals in the United States has been underscored by the Great Recession and the ever-changing health care reimbursement environment. Previous studies have shown mixed evidence with regards to the relationship between linking hospitals' reimbursement to quality of care and cost efficiency. Moreover, current evidence suggests that not only inherently financially disadvantaged hospitals (e.g., safety-net providers), but also more financially stable providers, experienced declines to their financial viability throughout the recession. However, little is known about how hospital cost efficiency fared throughout the Great Recession. This study contributes to the literature by using stochastic frontier analysis to analyze cost inefficiency of Washington State hospitals between 2005 and 2012, with controls for patient burden of illness, hospital process of care quality, and hospital outcome quality. The quality measures included in this study function as central measures for the determination of recently implemented pay-for-performance programs. The average estimated level of hospital cost inefficiency before the Great Recession (10.4 %) was lower than it was during the Great Recession (13.5 %) and in its aftermath (14.1 %). Further, the estimated coefficients for summary process of care quality indexes for three health conditions (acute myocardial infarction, pneumonia, and heart failure) suggest that higher quality scores are associated with increased cost inefficiency.

Inter-provider comparison of patient-reported outcomes: developing an adjustment to account for differences in patient case mix

This paper describes the development of a methodology for the case-mix adjustment of patient-reported outcome measures (PROMs) data permitting the comparison of outcomes between providers on a like-for-like basis. Statistical models that take account of provider-specific effects form the basis of the proposed case-mix adjustment methodology. Indirect standardisation provides a transparent means of case mix adjusting the PROMs data, which are updated on a monthly basis. Recently published PROMs data for patients undergoing unilateral knee replacement are used to estimate empirical models and to demonstrate the application of the proposed case-mix adjustment methodology in practice. The results are illustrative and are used to highlight a number of theoretical and empirical issues that warrant further exploration. For example, because of differences between PROMs instruments, case-mix adjustment methodologies may require instrument-specific approaches. A number of key assumptions are made in estimating the empirical models, which could be open to challenge. The covariates of post-operative health status could be expanded, and alternative econometric methods could be employed.

Treatment program operations and costs

This study investigates how average costs for an episode of care in outpatient drug-free (ODF) treatment relate to clinical intensity (length of stay and weekly counseling hours) and program structure (e.g., size, staffing), controlling for prices paid and selected clientele measures. Based on cost assessments from a naturalistic sample of 67 programs located across the United States (using the Treatment Cost Analysis Tool), robust regression techniques showed that programs having 10% longer treatment stays had episode costs 7% higher; those having 10% more weekly counseling hours per client had 4% higher episode costs. Other important factors included wages, amount of counselors' time conducting sessions, and serving more clients referred from the criminal justice system. The study provides valuable information on treatment program features that relate to costs. Most importantly, cost differences associated with longer stays or more intensive counseling protocols appear modest and may be justified by improved client outcomes.

Comorbidity and the limitations of volume and focus as organizing principles

Some scholars advocate for health care organizations designed around the principles of volume and focus, while others suggest that the complexity of patient care renders this approach to organizing care inefficient (and ineffective). This article attempts to reconcile these views, drawing on the idea of organizational capabilities as knowledge integration to motivate an empirical examination of the extent to which the efficiency benefits of hospital volume and focus depend on the degree of patient comorbidity. In doing so, the article has two aims: (a) to shed light on both the benefits and limitations of volume and focus as organizing principles and (b) to contribute to our understanding of the implications of comorbidity for the organization of health care delivery. Using data on U.S. hospitals, the author finds evidence that the efficiency benefits of volume and focus are diminishing in the level of patient comorbidity.

Hospital competition and financial performance: the effects of ambulatory surgery centers

Ambulatory surgery centers (ASCs), limited-service alternatives for treating surgery patients not requiring an overnight stay, are a health-care service innovation that has proliferated in the U.S. and other countries in recent years. This paper examines the effects of ASC competition on revenues, costs, and profit margins of hospitals that also provided these services as a subset of their general services in Arizona, California, and Texas during the period 1997-2004. We identified all ASCs operating during the period in the 49 Dartmouth Hospital Referral Regions in the three states. The results of fixed effects models suggested that ASCs are meaningful competitors to general hospitals. We found downward pressure on revenues, costs, and profits in general hospitals associated with ASC presence.

Do mergers really reduce costs? Evidence from hospitals

In this paper, we compare potential and realized cost savings from hospital mergers. Our approach isolates changes in realized cost savings due to different output mixes from systematic changes due to time and also provides a measure of the potential cost savings due to scale economies. Our findings suggest that economies of scale are present for merging hospitals and they realize these cost savings immediately following a merger. However, we also show that over time, cost savings from the merger decrease and the proportion of hospitals experiencing positive cost savings declines.

Measuring Shared Inefficiency Between Hospital Cost Centers

In this article, a combination of data envelopment analysis, spreadsheet modeling and regression techniques is applied to a panel of nonprofit Washington State hospitals in an effort to determine whether (and if so, to what extent) inefficiency in one hospital cost center is shared with inefficiency in other cost centers. The findings suggest that a significant amount of inefficiency is shared across hospital cost centers. The authors further determine that certain cost centers contribute more to the overall performance of a given hospital than others. As such, managerial decisions and government policies designed to enhance hospital efficiency should be implemented differently, depending on the characteristics of the hospital in question.

Emergency department visits: the cost of trauma centers

Crowded emergency departments (EDs) have become a serious problem in the current U.S. healthcare system. Patient wait times and periods of ED diversion have increased, raising concerns about the timeliness, efficiency, and quality of ED treatment. This study addresses the question of whether there are economies of scale (EOS) in ED care, and the extent to which such economies vary across different types of EDs. A hospital cost function approach is taken to evaluate average and marginal costs of EDs designated as trauma centers. Data comes from acute care hospitals in Texas for the period 1998-2004. Cost functions corresponding to four different levels of ED trauma care are estimated using a translog panel data model with hospital fixed effects. The marginal costs (in 2004 dollars) of each trauma center level are: $53 (Level I), $177 (Level II), $119 (Level III), and $258 (Level IV). Average cost per ED visit for trauma centers exceeds marginal cost at all Levels, indicating the presence of EOS. The results support a possible expansion of ED size policy in order to improve the cost efficiency of ED services.

Specialty and full-service hospitals: a comparative cost analysis

OBJECTIVE

To compare the costs of physician-owned cardiac, orthopedic, and surgical single specialty hospitals with those of full-service hospital competitors.

DATA SOURCES

The primary data sources are the Medicare Cost Reports for 1998-2004 and hospital inpatient discharge data for three of the states where single specialty hospitals are most prevalent, Texas, California, and Arizona. The latter were obtained from the Texas Department of State Health Services, the California Office of Statewide Health Planning and Development, and the Agency for Healthcare Research and Quality Healthcare Cost and Utilization Project. Additional data comes from the American Hospital Association Annual Survey Database.

STUDY DESIGN

We identified all physician-owned cardiac, orthopedic, and surgical specialty hospitals in these three states as well as all full-service acute care hospitals serving the same market areas, defined using Dartmouth Hospital Referral Regions. We estimated a hospital cost function using stochastic frontier regression analysis, and generated hospital specific inefficiency measures. Application of t-tests of significance compared the inefficiency measures of specialty hospitals with those of full-service hospitals to make general comparisons between these classes of hospitals.

PRINCIPAL FINDINGS

Results do not provide evidence that specialty hospitals are more efficient than the full-service hospitals with whom they compete. In particular, orthopedic and surgical specialty hospitals appear to have significantly higher levels of cost inefficiency. Cardiac hospitals, however, do not appear to be different from competitors in this respect.

CONCLUSIONS

Policymakers should not embrace the assumption that physician-owned specialty hospitals produce patient care more efficiently than their full-service hospital competitors.

The Economics of Specialty Hospitals

Specialty hospitals, particularly those specializing in surgery and owned by physicians, have generated a relatively high degree of policy attention over the past several years. The main focus of policy debates has been in two areas: the extent to which specialty hospitals might compete unfairly with incumbent general hospitals and the extent to which physician ownership might be associated with higher usage. Largely absent from the debates, however, has been a discussion of the basic economic model of specialty hospitals. This article reviews existing literature, reports, and findings from site visits to explore the economic rationale for specialty hospitals. The discussion focuses on six factors associated with specialization: consumer demand, procedural operating margins, clinical efficiencies, procedural economies of scale, economies (and diseconomies) of scope, and competencies and learning. A better understanding of the economics of specialization will help policy makers evaluate the full spectrum of advantages and disadvantages of specialty hospitals.

Effects of ownership, subsidization and teaching activities on hospital costs in Switzerland

This paper explores the cost structure of Swiss hospitals, focusing on differences due to teaching activities and those related to ownership and subsidization types. A stochastic total cost frontier with a Cobb-Douglas functional form has been estimated for a panel of 148 general hospitals over the six-year period from 1998 to 2003. Inpatient cases adjusted by DRG cost weights and ambulatory revenues are considered as two separate outputs. The adopted econometric specification allows for unobserved heterogeneity across hospitals. The results suggest that teaching activities are an important cost-driving factor and hospitals that have a broader range of specialization are relatively more costly. The excess costs of university hospitals can be explained by more extensive teaching activities as well as the relative complexity of the offered medical treatments from a teaching point of view. However, even after controlling for such differences university hospitals have shown a relatively low cost-efficiency especially in the first two or three years of the sample period. The analysis does not provide any evidence of significant efficiency differences across ownership/subsidy categories.

Consolidations and closures: an empirical analysis of exits from the hospital industry

This paper investigates the pre-exit characteristics of hospital mergers, acquisitions, and closures. We estimate competing risk hazard models using an 18-year national data set that spans the wave of closures in the 1980s and of mergers in the 1990s. Evidence shows that weak productivity of the hospital is a strong determinant for closures while competitive pressures are more influential in the decision to consolidate. Thus, increased market power, relative to cost reductions, appears to play a larger role in the merger decision. Our results also provide insight into possible correlations between mergers and closures.

Econometric estimation of country-specific hospital costs

Information on the unit cost of inpatient and outpatient care is an essential element for costing, budgeting and economic-evaluation exercises. Many countries lack reliable estimates, however. WHO has recently undertaken an extensive effort to collect and collate data on the unit cost of hospitals and health centres from as many countries as possible; so far, data have been assembled from 49 countries, for various years during the period 1973-2000. The database covers a total of 2173 country-years of observations. Large gaps remain, however, particularly for developing countries. Although the long-term solution is that all countries perform their own costing studies, the question arises whether it is possible to predict unit costs for different countries in a standardized way for short-term use. The purpose of the work described in this paper, a modelling exercise, was to use the data collected across countries to predict unit costs in countries for which data are not yet available, with the appropriate uncertainty intervals.The model presented here forms part of a series of models used to estimate unit costs for the WHO-CHOICE project. The methods and the results of the model, however, may be used to predict a number of different types of country-specific unit costs, depending on the purpose of the exercise. They may be used, for instance, to estimate the costs per bed-day at different capacity levels; the "hotel" component of cost per bed-day; or unit costs net of particular components such as drugs.In addition to reporting estimates for selected countries, the paper shows that unit costs of hospitals vary within countries, sometimes by an order of magnitude. Basing cost-effectiveness studies or budgeting exercises on the results of a study of a single facility, or even a small group of facilities, is likely to be misleading.

Cost inefficiency in Washington hospitals: a stochastic frontier approach using panel data

We analyze a sample of Washington State hospitals with a stochastic frontier panel data model, specifying the cost function as a generalized Leontief function which, according to a Hausman test, performs better in this case than the translog form. A one-stage FGLS estimation procedure which directly models the inefficiency effects improves the efficiency of our estimates. We find that hospitals with higher casemix indices or more beds are less efficient while for-profit hospitals and those with higher proportion of Medicare patient days are more efficient. Relative to the most efficient hospital, the average hospital is only about 67% efficient.