Exploring heterogeneity in hospital length of stay of patients admitted for emergency abdominal surgery in Ireland: A quantile regression approach

Main Article Content

Gintare Valentelyte, PhD MSc (Health Economics) http://orcid.org/0000-0001-9188-3854 D. A. McNamara http://orcid.org/0000-0003-3975-0485 J. Sorensen http://orcid.org/0000-0003-0857-9267

Abstract

Background: Emergency abdominal surgery refers to a range of complex intra-abdominal surgical procedures associated with high mortality risk and long length of hospital stay. Length of stay is often used as a proxy measure for hospital resource utilisation in hospital capacity management and planning. Our objective was to explore the heterogeneity in length of stay among emergency abdominal surgery patients admitted at publicly funded hospitals in Ireland.


Methods: We analysed national hospital inpatient data (2014 – 2022) for adults discharged following emergency abdominal surgery. We used quantile regression methods to explore the heterogeneous effects along the length of stay distribution between 10th - 90th percentiles. We compared quantile regression with ordinary least squares estimates, and identified from which point in the length of stay distribution heterogeneous effects were different from ordinary least squares estimates.


Results: From the National Healthcare Quality Reporting System records for 15,408 emergency abdominal surgery adult inpatient episodes were obtained for analysis. We observed significant (p < 0.001) heterogeneous effects across most quantiles of the length of stay distribution. Length of stay was longer for patients with Charlson comorbidity indices of 4 or higher, American Society of Anaesthesiologists physical status scores of 2 and higher, admissions to critical care units, hospital readmissions within 30-days, discharges to nursing home and other hospital, and for patients treated in Model 4 hospitals. Length of stay was shorter for patients with a cancer diagnosis and patients who died during admission. Across these factors, statistically significant heterogeneous effects above ordinary least squares estimates were observed at the 70th to the 90th quantile.


Conclusions: The quantile regression methods identified the presence of significant heterogeneity across the entire length of stay distribution. Relative to ordinary least squares mean estimates, quantile regression is a better method for identifying heterogeneous effects by exploring the entire length of stay distribution. Our results highlight the importance of using appropriate methods for estimating skewed outcomes. This is important to provide valid and relevant empirical analysis to inform policy.

Keywords: Quantile regression, Methodology, Hospital length of stay, Emergency admissions, Emergency surgery, Outcomes, Heterogeneity, Ireland

Article Details

How to Cite
VALENTELYTE, Gintare; MCNAMARA, D. A.; SORENSEN, J.. Exploring heterogeneity in hospital length of stay of patients admitted for emergency abdominal surgery in Ireland: A quantile regression approach. Medical Research Archives, [S.l.], v. 11, n. 12, dec. 2023. ISSN 2375-1924. Available at: <https://esmed.org/MRA/mra/article/view/4791>. Date accessed: 26 dec. 2024. doi: https://doi.org/10.18103/mra.v11i12.4791.
Section
Research Articles

References

1. Clarke A. Why are we trying to reduce length of stay? Evaluation of the costs and benefits of reducing time in hospital must start from the objectives that govern change. Qual Health Care. 1996;5(3):172-9.

2. Weintraub WS, Jones EL, Craver J, Guyton R, Cohen C. Determinants of prolonged length of hospital stay after coronary bypass surgery. Circulation. 1989;80(2):276-284.

3. Philbin EF, Mccullough PA, Dec GW, Disalvo TG. Length of stay and procedure utilization are themajor determinants of hospital charges for heart failure. Clinical Cardiology. 2001;24(1):56-62.

4. Fleming I, Monaghan P, Gavin A, C. ON. Factors influencing hospital costs of lung cancer patients in Northern Ireland. The European journal of health economics : HEPAC : health economics in prevention and care. 2008;9(1):79-86.

5. Zhu HF, Newcommon NN, Cooper ME, et al. Impact of a stroke unit on length of hospital stay and in-hospital case fatality. Stroke. 2009;40(1):18-23.

6. Hauck K, Hollingsworth B. The impact of severe obesity on hospital length of stay. Medical care. Apr 2010;48(4):335-40. doi:10.1097/MLR.0b013e3181ca3d85

7. Siciliani L, Sivey P, Street A. Differences in Length of Stay for Hip Replacement between Public Hospitals, Specialised Treatment Centres and Private Providers: Selection or Efficiency? Health Economics. 2013;22 (2): 234-242. doi:doi:10.1002/hec.1826

8. Kazemi M, Nazari S, Motamed N, Arsang-Jang S, Fallah R. Prediction of Hospitalization Length. Quantile Regression Predicts Hospitalization Length and its Related Factors better than Available Methods. Annali di igiene : medicina preventiva e di comunita. Mar-Apr 2021;33 (2): 177-188. doi:10.7416/ ai.2021.2423

9. Walsh B, Smith S, Wren MA, Eighan J, Lyons S. The impact of inpatient bed capacity on length of stay. Eur J Health Econ. Apr 2022;23(3):499-510. doi:10.1007/s10198-021 -01373-2

10. Keegan C, Brick A, Walsh B, Bergin A, Eighan J, Wren M-A. How many beds? Capacity implications of hospital care demand projections in the Irish hospital system, 2015-2030. The International Journal of Health Planning and Management. 2019/01/01 2019; 34(1):e569-e582. doi:https://doi.org/10.1002/hpm.2673

11. OECD. Occupancy rate of curative (acute) care beds, 2009 and 2019 (or nearest year). 2021.

12. OECD. Hospital beds (indicator). Accessed (Accessed on 22 June 2022),

13. Choi S-W. The Effect of Outliers on Regression Analysis: Regime Type and Foreign Direct Investment. Quarterly Journal of Political Science. 2009;4(2):153-165. doi: 10.1561/100.00008021

14. Koenker R, Bassett G. Regression Quantiles. Econometrica. 1978;46(1):33-50. doi:10.2307/1913643

15. Koenker R, Hallock K. Quantile Regression. Journal of Economic Perspectives . 2001;15(4):143-156.

16. Deb Partha, Norton Edward C., G. MW. Health Econometrics Using Stata. Stata Press; 2017.

17. Holmås TH, Islam MK, Kjerstad E. Interdependency between social care and hospital care: the case of hospital length of stay. European Journal of Public Health. 2013; 23(6):927-933. doi:10.1093/eurpub/cks171

18. Kaufman BG, Klemish D, Kassner CT, et al. Predicting Length of Hospice Stay: An Application of Quantile Regression. Journal of palliative medicine. Aug 2018;21(8):1131-1136. doi:10.1089/jpm.2018.0039

19. Dolja-Gore X, Harris ML, Kendig H, Byles JE. Factors associated with length of stay in hospital for men and women aged 85 and over: A quantile regression approach. European Journal of Internal Medicine. 2019/05/01/ 2019;63:46-55. doi:https://doi.org/10.1016/j.ejim.2019.02.011

20. Ding R, McCarthy ML, Lee J, Desmond JS, Zeger SL, Aronsky D. Predicting Emergency Department Length of Stay Using Quantile Regression. 2009:1-4.

21. Zeleke AJ, Moscato S, Miglio R, Chiari L. Length of Stay Analysis of COVID-19 Hospitalizations Using a Count Regression Model and Quantile Regression: A Study in Bologna, Italy. International journal of environmental research and public health. Feb 16 2022;19(4)doi:10.3390/ijerph19042224

22. Linli Z, Chen Y, Tian G, Guo S, Fei Y. Identifying and quantifying robust risk factors for mortality in critically ill patients with COVID-19 using quantile regression. The American journal of emergency medicine. Jul 2021;45:345-351. doi:10.1016/j.ajem.2020.08.090

23. Pourhoseingholi A, Vahedi M, Pourhoseingholi A, et al. Comparing linear regression and quantile regression to analyze the associated factors of length of hospitalization in patients with gastrointestinal tract cancers. Italian Journal of Public Health. 2009;6(2):136-139.

24. Valentelyte G., Nally D., Hammond L., Mealy K., Kavanagh D., Sorensen J. Variation in Hospital Length of Stay Based on Hospital Volume: A Retrospective Cohort Study of Emergency Abdominal Surgery in Ireland. Surgical Case Reports. 2019;2(6)doi:10.31487 /j.SCR.2019.06.10

25. Nally DM, Sørensen J, Valentelyte G, et al. Volume and in-hospital mortality after emergency abdominal surgery: a national population-based study. BMJ Open. 2019;9 (11):e032183. doi:10.1136/bmjopen-2019-032183

26. Howes TE, Cook TM, Corrigan LJ, Dalton SJ, Richards SK, Peden CJ. Postoperative morbidity survey, mortality and length of stay following emergency laparotomy. Anaesthesia. Sep 2015;70(9):1020-7. doi:10. 1111/anae.12991

27. Rajesh J, Valentelyte G, McNamara DA, Sorensen J. Impact of the COVID-19 pandemic on provision and outcomes of emergency abdominal surgery in Irish public hospitals. Irish Journal of Medical Science (1971 -). 2022/10/01 2022;191(5):2275-2282. doi:10.1007/s11845-021-02857-z

28. Buchinsky M. Recent Advances in Quantile Regression Models: A Practical Guideline for Empirical Research. Journal of Human Resources. 1998;33(1):88-126.

29. Huang Q, Zhang H, Chen J, He M. Quantile Regression Models and Their Applications: A Review. J Biom Biostat. 2017;8(3)

30. Healthcare Pricing Office. Activity in Acute Public Hospitals in Ireland. 2021. https://hpo.ie/latest_hipe_nprs_reports/HIPE_2020/HIPE_Report_2020.pdf

31. Healthcare Pricing Office. Irish Coding Standards (ICS) Version 2021. Healthcare Pricing Office, Health Services Executive (HSE). http://hpo.ie/hipe/clinical_coding/irish_coding_standards/ICS_2021_V1.0.pdf

32. Charlson ME, Pompei P, Ales KL, MacKenzie CR. A new method of classifying prognostic comorbidity in longitudinal studies: development and validation. J Chronic Dis. 1987;40(5):373-83. doi:10.1016/ 0021-9681(87)90171-8

33. Daabiss M. American Society of Anaesthesiologists physical status classification. Indian J Anaesth. Mar 2011;55 (2):111-5. doi:10.4103/0019-5049.79879

34. Mealy K, Keane F, Kelly P, Kelliher G. What is the future for General Surgery in Model 3 Hospitals? Irish Journal of Medical Science (1971 -). 2017/02/01 2017;186(1) :225-233. doi:10.1007/s11845-016-1545-0

35. Dr James Reilly TD. The Establishment of Hospital Groups as a transition to Independent Hospital Trusts 2013. https://assets.gov.ie/12167/64bd8d50ac8447a588d253d040284cd4.pdf

36. Health Service Executive (HSE). Hospital Groups - List and Contact Details. https://www.hse.ie/eng/services/list/3/acutehospitals/hospitalgroups.html

37. Pourhoseingholi A, Pourhoseingholi MA, Vahedi M, Moghimi-Dehkordi B, Masera A, Zali M. Relation Between Demographic Factors And Hospitalization In Patients With Gastrointestinal Disorders, Using Quantail Regression Analysis. East African Journal of Public Health. 2009;6(3)doi:10.4314/ eajph. v6i3.45774.