Abstract
We evaluate how the productive structure and level of specialization of a hospital affect technical efficiency by analyzing a six-year panel database (2000/2005) drawn from hospital discharge records and Ministry of Health data. We adopt a distance function approach, while measuring the technical efficiency level with stochastic frontier techniques. After controlling for environmental variables and hospital case-mix, inefficiency is negatively associated with specialization and positively associated with capitalization. Capitalization is typical of private structures which, on average, use resources less efficiently with respect to public and not-for-profit hospitals. Finally, by looking at scale elasticities, we find some evidence of unexploited economies of scale, leaving room for centralization.
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Notes
For a good and quick review of the different nature of these structures, see (European Observatory of Health Care 2001).
A hospital is basically viewed as a human service enterprise whose primary function is the provision of diagnostic and therapeutic medical services. Production lines are specific sets of services provided to individual patients and largely coincide with an appropriate definition of treatments within each ward typology.
See for instance Rosko and Broyles (1988).
We attempted to use an index of hospital machineries as a more refined measure of capital, attaching their average costs as a weight. However the set of known costs is incomplete, and even if this missing data concerns only a couple of machines, we believe this might bias the index value. This may affect parameter estimates, as happened in most of the adopted model specifications.
Farley and Hogan (1990) made an in-depth analysis of hospital specialization measures. They proposed an Information Theory Index, where specialization is given by caseload deviation from that of the typical hospital. The main pitfall of this Information Theory Index is therefore its inability to distinguish between hospitals that treat either a very narrow or a very broad range of cases, since both will tend to have relatively high index values. Hence, we decided to make use only of the Gini ratio.
Note that each input and output variable has been standardized with its median.
Public hospitals include hospitals directly managed by ASL and AOs. Hospitals assimilated to public structures are the following: (1) “Istituto qualificato presidio della USL”; (2) “Istituto di Ricovero e Cura a Carattere Scientifico (IRCCS)”; (3) “Ospedali classificati o assimilati ai sensi dell’art.1 u.c. L.132/68”; (4) “Policlinici Universitari”.
Remember that for a correct interpretation, the sign in the distance functions must be reversed. This implies that in the output distance model, the upward shift of the frontier is given by a negative sign. While for an input distance function by a positive sign.
We remind that signs and magnitudes of the cross-effects represent input/output jointness. In the input specification negative cross-output terms represent output jointness, while in the output specification positive cross-input effects imply input complementarities.
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Acknowledgements
We would like to thank: Vincenzo Atella and Federico Belotti for continuous and stimulating discussion; two anonymous referees; Giorgia Marini; the participants of the Sixteenth European Workshop on Econometrics and Health Economics and the Masterclass in applied Health Economics held in Bergen; the participants of the Econometrics PhD Students’ seminars, held at University of Rome Tor Vergata; the participants of the Technical Efficiency Parallel Session at the Third Italian Congress of Econometrics and Empirical Economics, held at University of Ancona; and Hung-Jen Wang for the assistance with his new STATA package and for his suggestions concerning convergence of the models. We also thank Cristina Tamburini from the Ministry of Health for the data used throughout the paper.
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Daidone, S., D’Amico, F. Technical efficiency, specialization and ownership form: evidences from a pooling of Italian hospitals. J Prod Anal 32, 203–216 (2009). https://doi.org/10.1007/s11123-009-0137-7
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DOI: https://doi.org/10.1007/s11123-009-0137-7
Keywords
- Stochastic frontiers
- Hospital discharge records
- Hospital specialization
- Distance functions
- Technical efficiency