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Technical efficiency of Critical Access Hospitals: an application of the two-stage approach with double bootstrap

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Abstract

The Critical Access Hospital (CAH) Program has offered Medicare cost-based reimbursement to small hospitals that meet certain eligibility criteria to improve their financial viability and quality of care. However, cost-based reimbursement has been associated with inefficiency in hospital operations. This study uses a two-stage approach and bootstrap procedures to examine the effects of environmental variables on the technical efficiency of CAHs. The two-stage approach with quality controls significantly improved statistical efficiency of parameter estimates in the second stage bootstrapped truncated regression relative to a similar model without quality controls. Overall, our results suggest that enhanced Medicare reimbursement may not have had detrimental effects on the technical efficiency of CAHs.

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Notes

  1. Before January 2006, states were allowed to waive the distance requirement for hospitals that were declared “necessary providers” and qualify them for CAH conversion. Thus, some CAHs are quite close to other hospitals. For a detailed description of the CAH Program, see [1].

  2. PPS pays a fixed price per case based on the diagnosis-related group (DRG), constraining hospitals to keep their unit costs below PPS rates in order to remain financially viable.

  3. AHA data can be obtained from http://www.ahadataviewer.com/book-cd-products/AHA-Survey/, Area Resource file data from http://www.arf.hrsa.gov, and Hospital Compare quality data from http://www.hospitalcompare.hhs.gov.

  4. CAHs voluntarily report quality measures to Hospital Compare and they do not have the financial incentives of PPS hospitals to consistently report quality information to CMS.

  5. Alternatively, one can use a stochastic frontier model which, as a parametric approach, requires strong assumptions about the functional form and error distributions. Further, a stochastic frontier model cannot easily accommodate multiple outputs and inputs.

  6. Many of the previous two-stage studies used a tobit (censored) regression in the second stage. However, Simar and Wilson showed that tobit is a misspecification under their statistical model.

  7. Result estimated using Matlab after adopting from programs written for Simar and Zelenyuk [23].

  8. We thank an anonymous reviewer for pointing out this issue.

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Correspondence to Iustin Cristian Nedelea.

Appendix

Appendix

Table 4 Bootstrapped truncated regression: Model 1
Table 5 Bootstrapped truncated regression: Model 2
Table 6 Bootstrapped truncated regression: Model 3

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Nedelea, I.C., Fannin, J.M. Technical efficiency of Critical Access Hospitals: an application of the two-stage approach with double bootstrap. Health Care Manag Sci 16, 27–36 (2013). https://doi.org/10.1007/s10729-012-9209-8

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  • DOI: https://doi.org/10.1007/s10729-012-9209-8

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