IDEAS home Printed from https://ideas.repec.org/a/vrs/econom/v7y2019i2p157-167n13.html
   My bibliography  Save this article

Application of the T-Test in Health Insurance Cost Analysis: Large Data Sets

Author

Listed:
  • Kresojević Bojan
  • Gajić Milica

    (University of Banja Luka, Faculty of Economics, Bosnia and Herzegovina)

Abstract

In this paper will be analyzed the application of the t-test against the nonparametric Mann - Whitney test in the analysis of health insurance benefit costs in the Republic of Srpska on large samples. This research aims to examine which method produces better results when testing statistical hypotheses. The adequacy of the statistical tests will be tested on primary health insurance cost data for 1,044,690 insureds in 2017. For two samples of size 4,000, the sampling distribution of the difference in two means has a skewness coefficient of 0.05 and a kurtosis coefficient of 3.09. Jarque - Bera test does not reject the hypothesis of normality of distribution with a p-value of 0.135. On the other hand, in the Mann - Whitney test, the real risk of the first species, when there is a difference in skewness between the samples, may be less than 0.001 compared to the nominal risk level of 0.05. Based on the results obtained, it is suggested to use the t-test instead of the Mann - Whitney test if the sample is large enough, which should be verified by the bootstrap method.

Suggested Citation

  • Kresojević Bojan & Gajić Milica, 2019. "Application of the T-Test in Health Insurance Cost Analysis: Large Data Sets," Economics, Sciendo, vol. 7(2), pages 157-167, December.
    • Handle: RePEc:vrs:econom:v:7:y:2019:i:2:p:157-167:n:13
    DOI: 10.2478/eoik-2019-0024
    as

    Download full text from publisher

    File URL: https://doi.org/10.2478/eoik-2019-0024
    Download Restriction: no
    File URL: https://libkey.io/10.2478/eoik-2019-0024?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
    ---><---

    References listed on IDEAS

    as
    1. Jorge Aníbal Restrepo Morales & Santiago Medina Hurtado, 2012. "Estimation Of Operative Risk For Fraud In The Car Insurance Industry," Global Journal of Business Research, The Institute for Business and Finance Research, vol. 6(3), pages 73-83.
    2. Blanchet, Jose & Lam, Henry, 2013. "A heavy traffic approach to modeling large life insurance portfolios," Insurance: Mathematics and Economics, Elsevier, vol. 53(1), pages 237-251.
    Full references (including those not matched with items on IDEAS)

    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. Cheung, Eric C.K. & Rabehasaina, Landy & Woo, Jae-Kyung & Xu, Ran, 2019. "Asymptotic correlation structure of discounted Incurred But Not Reported claims under fractional Poisson arrival process," European Journal of Operational Research, Elsevier, vol. 276(2), pages 582-601.

    More about this item

    Keywords

    t-test; Mann-Whitney test; health insurance costs; large samples; distribution normality; skewness; kurtosis;
    All these keywords.

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • I13 - Health, Education, and Welfare - - Health - - - Health Insurance, Public and Private
    • G22 - Financial Economics - - Financial Institutions and Services - - - Insurance; Insurance Companies; Actuarial Studies

    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:vrs:econom:v:7:y:2019:i:2:p:157-167:n:13. 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: Peter Golla (email available below). General contact details of provider: https://www.sciendo.com .

    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.