IDEAS home Printed from https://ideas.repec.org/p/hhs/sduhec/2021_001.html
   My bibliography  Save this paper

The dynamic interdependence in the demand of primary and emergency secondary care: A hidden Markov approach

Author

Listed:
  • Laudicella, Mauro

    (University of Southern Denmark, DaCHE - Danish Centre for Health Economics)

  • Li Donni, Paolo

    (University of Palermo, Department of Economics, Business and Statistics)

Abstract

This paper develops an extension of the class of finite mixture models for longitudinal count data to the bivariate case by using a trivariate reduction technique and a hidden Markov chain approach. The model allows for disentangling unobservable time-varying heterogeneity from the dynamic effect of utilisation of primary and secondary care and measuring their potential substitution effect. Three points of supports adequately describe the distribution of the latent states suggesting the existence of three profiles of low, medium and high users who shows persistency in their behaviour, but not permanence as some switch to their neighbour's profile.

Suggested Citation

  • Laudicella, Mauro & Li Donni, Paolo, 2021. "The dynamic interdependence in the demand of primary and emergency secondary care: A hidden Markov approach," DaCHE discussion papers 2021:1, University of Southern Denmark, Dache - Danish Centre for Health Economics.
  • Handle: RePEc:hhs:sduhec:2021_001
    DOI: 10.21996/26m8-5r10
    as

    Download full text from publisher

    File URL: https://findresearcher.sdu.dk:8443/ws/portalfiles/portal/180827944/DaCHE_Discussion_Paper_2021_1.pdf
    File Function: Full text
    Download Restriction: no

    File URL: https://libkey.io/10.21996/26m8-5r10?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Heckman, James & Singer, Burton, 1984. "A Method for Minimizing the Impact of Distributional Assumptions in Econometric Models for Duration Data," Econometrica, Econometric Society, vol. 52(2), pages 271-320, March.
    2. Christiansen, Terkel & Vrangbæk, Karsten, 2018. "Hospital centralization and performance in Denmark—Ten years on," Health Policy, Elsevier, vol. 122(4), pages 321-328.
    3. Pinchbeck, Edward W., 2019. "Convenient primary care and emergency hospital utilisation," Journal of Health Economics, Elsevier, vol. 68(C).
    4. Dusheiko, Mark & Gravelle, Hugh & Martin, Stephen & Rice, Nigel & Smith, Peter C., 2011. "Does better disease management in primary care reduce hospital costs? Evidence from English primary care," Journal of Health Economics, Elsevier, vol. 30(5), pages 919-932.
    5. Jeffrey M. Wooldridge, 2005. "Simple solutions to the initial conditions problem in dynamic, nonlinear panel data models with unobserved heterogeneity," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 20(1), pages 39-54, January.
    6. Lippi Bruni, Matteo & Mammi, Irene & Ugolini, Cristina, 2016. "Does the extension of primary care practice opening hours reduce the use of emergency services?," Journal of Health Economics, Elsevier, vol. 50(C), pages 144-155.
    7. Lai, C. D., 1995. "Construction of bivariate distributions by a generalised trivariate reduction technique," Statistics & Probability Letters, Elsevier, vol. 25(3), pages 265-270, November.
    8. Blundell, Richard & Griffith, Rachel & Windmeijer, Frank, 2002. "Individual effects and dynamics in count data models," Journal of Econometrics, Elsevier, vol. 108(1), pages 113-131, May.
    9. William Whittaker & Laura Anselmi & Søren Rud Kristensen & Yiu-Shing Lau & Simon Bailey & Peter Bower & Katherine Checkland & Rebecca Elvey & Katy Rothwell & Jonathan Stokes & Damian Hodgson, 2016. "Associations between Extending Access to Primary Care and Emergency Department Visits: A Difference-In-Differences Analysis," PLOS Medicine, Public Library of Science, vol. 13(9), pages 1-19, September.
    10. Paul Contoyannis & Andrew M. Jones & Nigel Rice, 2004. "The dynamics of health in the British Household Panel Survey," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 19(4), pages 473-503.
    11. Murat K. Munkin & Pravin K. Trivedi, 1999. "Simulated maximum likelihood estimation of multivariate mixed-Poisson regression models, with application," Econometrics Journal, Royal Economic Society, vol. 2(1), pages 29-48.
    12. Oxholm, Anne Sophie & Kristensen, Søren Rud & Sutton, Matt, 2018. "Uncertainty about the effort–performance relationship in threshold-based payment schemes," Journal of Health Economics, Elsevier, vol. 62(C), pages 69-83.
    13. Jennifer L. Kohn & Jing Shi Liu, 2013. "The Dynamics Of Medical Care Use In The British Household Panel Survey," Health Economics, John Wiley & Sons, Ltd., vol. 22(6), pages 687-710, June.
    14. Mark Dusheiko & Hugh Gravelle & Stephen Martin & Nigel Rice & Peter C Smith, 2011. "Does Better Disease Management in Primary Care Reduce Hospital Costs?," Working Papers 065cherp, Centre for Health Economics, University of York.
    15. Andreas Million & Regina T. Riphahn & Achim Wambach, 2003. "Incentive effects in the demand for health care: a bivariate panel count data estimation," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 18(4), pages 387-405.
    16. Dolton, Peter & Pathania, Vikram, 2016. "Can increased primary care access reduce demand for emergency care? Evidence from England's 7-day GP opening," Journal of Health Economics, Elsevier, vol. 49(C), pages 193-208.
    17. Genest, Christian & Nešlehová, Johanna, 2007. "A Primer on Copulas for Count Data," ASTIN Bulletin, Cambridge University Press, vol. 37(2), pages 475-515, November.
    18. Hausman, Jerry & Hall, Bronwyn H & Griliches, Zvi, 1984. "Econometric Models for Count Data with an Application to the Patents-R&D Relationship," Econometrica, Econometric Society, vol. 52(4), pages 909-938, July.
    19. Iezzi, Elisa & Lippi Bruni, Matteo & Ugolini, Cristina, 2014. "The role of GP's compensation schemes in diabetes care: Evidence from panel data," Journal of Health Economics, Elsevier, vol. 34(C), pages 104-120.
    20. Chib, Siddhartha & Winkelmann, Rainer, 2001. "Markov Chain Monte Carlo Analysis of Correlated Count Data," Journal of Business & Economic Statistics, American Statistical Association, vol. 19(4), pages 428-435, October.
    21. Caroline Berchet, 2015. "Emergency Care Services: Trends, Drivers and Interventions to Manage the Demand," OECD Health Working Papers 83, OECD Publishing.
    22. Felix Famoye, 2010. "On the bivariate negative binomial regression model," Journal of Applied Statistics, Taylor & Francis Journals, vol. 37(6), pages 969-981.
    23. Partha Deb & Ann M. Holmes, 2000. "Estimates of use and costs of behavioural health care: a comparison of standard and finite mixture models," Health Economics, John Wiley & Sons, Ltd., vol. 9(6), pages 475-489, September.
    24. Eric French & John Bailey Jones, 2004. "On the distribution and dynamics of health care costs," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 19(6), pages 705-721.
    25. Atella, Vincenzo & Deb, Partha, 2008. "Are primary care physicians, public and private sector specialists substitutes or complements? Evidence from a simultaneous equations model for count data," Journal of Health Economics, Elsevier, vol. 27(3), pages 770-785, May.
    26. Pravin Trivedi & David Zimmer, 2017. "A Note on Identification of Bivariate Copulas for Discrete Count Data," Econometrics, MDPI, vol. 5(1), pages 1-11, February.
    27. László Mátyás & Patrick Sevestre (ed.), 2008. "The Econometrics of Panel Data," Advanced Studies in Theoretical and Applied Econometrics, Springer, number 978-3-540-75892-1, July-Dece.
    28. Francesco Bartolucci, 2006. "Likelihood inference for a class of latent Markov models under linear hypotheses on the transition probabilities," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 68(2), pages 155-178, April.
    29. Judex Hyppolite & Pravin Trivedi, 2012. "Alternative Approaches For Econometric Analysis Of Panel Count Data Using Dynamic Latent Class Models (With Application To Doctor Visits Data)," Health Economics, John Wiley & Sons, Ltd., vol. 21(S1), pages 101-128, June.
    30. Deb, Partha & Trivedi, Pravin K, 1997. "Demand for Medical Care by the Elderly: A Finite Mixture Approach," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 12(3), pages 313-336, May-June.
    31. Bartolucci, Francesco & Farcomeni, Alessio, 2009. "A Multivariate Extension of the Dynamic Logit Model for Longitudinal Data Based on a Latent Markov Heterogeneity Structure," Journal of the American Statistical Association, American Statistical Association, vol. 104(486), pages 816-831.
    32. Judex Hyppolite & Pravin Trivedi, 2012. "Alternative Approaches For Econometric Analysis Of Panel Count Data Using Dynamic Latent Class Models (With Application To Doctor Visits Data)," Health Economics, John Wiley & Sons, Ltd., vol. 21(S1), pages 101-128, June.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Rachet-Jacquet, Laurie & Rocks, Stephen & Charlesworth, Anita, 2023. "Long-term projections of health care funding, bed capacity and workforce needs in England," Health Policy, Elsevier, vol. 132(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Joan Gil & Paolo Li Donni & Eugenio Zucchelli, 2019. "Uncontrolled diabetes and health care utilisation: A bivariate latent Markov model approach," Health Economics, John Wiley & Sons, Ltd., vol. 28(11), pages 1262-1276, November.
    2. Canan GÜNEŞ & Mustafa ÜNLÜ & Yasin BÜYÜKKÖR & Şenay ÜÇDOĞRUK BİRECİKLİ, 2016. "Türkiye’de Sağlık Hizmetleri Talebinin Sayma Veri Modelleriyle İncelenmesi: İçsellik Sorunu," Sosyoekonomi Journal, Sosyoekonomi Society, issue 24(30).
    3. Harris, Matthew & Kohn, Jennifer, 2015. "Reference dependent utility from health and the demand for medical care," MPRA Paper 61926, University Library of Munich, Germany.
    4. Clémence Bussière & Nicolas Sirven & Thomas Rapp & Christine Sevilla‐Dedieu, 2020. "Adherence to medical follow‐up recommendations reduces hospital admissions: Evidence from diabetic patients in France," Health Economics, John Wiley & Sons, Ltd., vol. 29(4), pages 508-522, April.
    5. Teresa Bago d'Uva, 2005. "Latent class models for use of primary care: evidence from a British panel," Health Economics, John Wiley & Sons, Ltd., vol. 14(9), pages 873-892, September.
    6. Pinchbeck, Edward W., 2019. "Convenient primary care and emergency hospital utilisation," Journal of Health Economics, Elsevier, vol. 68(C).
    7. Bago d'Uva, Teresa & Jones, Andrew M. & van Doorslaer, Eddy, 2009. "Measurement of horizontal inequity in health care utilisation using European panel data," Journal of Health Economics, Elsevier, vol. 28(2), pages 280-289, March.
    8. William Greene, 2007. "Discrete Choice Modeling," Working Papers 07-6, New York University, Leonard N. Stern School of Business, Department of Economics.
    9. Tzougas, George & Makariou, Despoina, 2022. "The multivariate Poisson-Generalized Inverse Gaussian claim count regression model with varying dispersion and shape parameters," LSE Research Online Documents on Economics 117197, London School of Economics and Political Science, LSE Library.
    10. Marco Alfò & Giovanni Trovato, 2004. "Semiparametric Mixture Models for Multivariate Count Data, with Application," CEIS Research Paper 51, Tor Vergata University, CEIS.
    11. Bago d'Uva, Teresa & Jones, Andrew M., 2009. "Health care utilisation in Europe: New evidence from the ECHP," Journal of Health Economics, Elsevier, vol. 28(2), pages 265-279, March.
    12. Matteo Lippi Bruni & Cristina Ugolini & Rossella Verzulli & Anna Caterina Leucci, 2023. "The impact of Community Health Centers on inappropriate use of emergency services," Health Economics, John Wiley & Sons, Ltd., vol. 32(2), pages 375-394, February.
    13. Matteo Lippi Bruni & Irene Mammi, 2017. "Spatial effects in hospital expenditures: A district level analysis," Health Economics, John Wiley & Sons, Ltd., vol. 26(S2), pages 63-77, September.
    14. Li Donni, Paolo, 2019. "The unobserved pattern of material hardship and health among older Americans," Journal of Health Economics, Elsevier, vol. 65(C), pages 31-42.
    15. David, Guy & Smith-McLallen, Aaron & Ukert, Benjamin, 2019. "The effect of predictive analytics-driven interventions on healthcare utilization," Journal of Health Economics, Elsevier, vol. 64(C), pages 68-79.
    16. Pinchbeck, Edward W., 2019. "Convenient primary care and emergency hospital utilisation," Journal of Health Economics, Elsevier, vol. 68(C).
    17. Greene, William, 2008. "Functional forms for the negative binomial model for count data," Economics Letters, Elsevier, vol. 99(3), pages 585-590, June.
    18. Markus Jochmann & Roberto León‐González, 2004. "Estimating the demand for health care with panel data: a semiparametric Bayesian approach," Health Economics, John Wiley & Sons, Ltd., vol. 13(10), pages 1003-1014, October.
    19. Sergi Jiménez‐Martín & José M. Labeaga & Maite Martínez‐Granado, 2002. "Latent class versus two‐part models in the demand for physician services across the European Union," Health Economics, John Wiley & Sons, Ltd., vol. 11(4), pages 301-321, June.
    20. Borislava Mihaylova & Andrew Briggs & Anthony O'Hagan & Simon G. Thompson, 2011. "Review of statistical methods for analysing healthcare resources and costs," Health Economics, John Wiley & Sons, Ltd., vol. 20(8), pages 897-916, August.

    More about this item

    Keywords

    mixture distributions; hidden Markov models; panel data; primary care; secondary care; Denmark healthcare.;
    All these keywords.

    JEL classification:

    • C33 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Models with Panel Data; Spatio-temporal Models
    • D12 - Microeconomics - - Household Behavior - - - Consumer Economics: Empirical Analysis
    • I11 - Health, Education, and Welfare - - Health - - - Analysis of Health Care Markets
    • I18 - Health, Education, and Welfare - - Health - - - Government Policy; Regulation; Public Health

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:hhs:sduhec:2021_001. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Christian Volmar Skovsgaard (email available below). General contact details of provider: https://edirc.repec.org/data/hesdudk.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.