IDEAS home Printed from https://ideas.repec.org/a/sae/medema/v8y1988i3p204-215.html
   My bibliography  Save this article

A General Regression Methodology for ROC Curve Estimation

Author

Listed:
  • Anna N. Angelos Tosteson
  • Colin B. Begg

Abstract

A method for applying generalized ordinal regression models to categorical rating data to estimate and analyze receiver operating characteristic (ROC) curves is presented. These models permit parsimonious adjustment of ROC curve parameters for relevant covariates through two regression equations that correspond to location and scale. Particular shapes of ROC curves are interpreted in relation to the kind of covariates included in the two regressions. The model is shown to be flexible because it is not restricted to the assumption of binormality that is commonly employed in smoothed ROC curve estimation, although the binormal model is one particular form of the more general model. The new method provides a mechanism for pinpointing the effect that interobserver variability has on the ROC curve. It also allows for the adjustment of ROC curves for temporal variation and case mix, and provides a way to assess the incremental diagnostic value of a test. The new methodology is recommended because it substantially improves the ability to assess diagnostic tests using ROC curves. Key words: ROC curves; ordinal regression; technology assessment; diagnostic tests. (Med Decis Making 8:204-215, 1988)

Suggested Citation

  • Anna N. Angelos Tosteson & Colin B. Begg, 1988. "A General Regression Methodology for ROC Curve Estimation," Medical Decision Making, , vol. 8(3), pages 204-215, August.
  • Handle: RePEc:sae:medema:v:8:y:1988:i:3:p:204-215
    DOI: 10.1177/0272989X8800800309
    as

    Download full text from publisher

    File URL: https://journals.sagepub.com/doi/10.1177/0272989X8800800309
    Download Restriction: no

    File URL: https://libkey.io/10.1177/0272989X8800800309?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. James A. Hanley, 1988. "The Robustness of the "Binormal" Assumptions Used in Fitting ROC Curves," Medical Decision Making, , vol. 8(3), pages 197-203, August.
    2. Anila Wijesinha & Colin B. Begg & H. Harris Funkenstein & Barbara J. McNeil, 1983. "Methodology for the Differential Diagnosis of a Complex Data Set," Medical Decision Making, , vol. 3(2), pages 133-154, June.
    3. Peter Doubilet & Colin B. Begg & Milton C. Weinstein & Peter Braun & Barbara J. McNeil, 1985. "Probabilistic Sensitivity Analysis Using Monte Carlo Simulation," Medical Decision Making, , vol. 5(2), pages 157-177, June.
    4. James A. Hanley & Colin B. Begg, 1987. "Response to ROC Steady," Medical Decision Making, , vol. 7(4), pages 244-246, December.
    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. repec:jss:jstsof:08:i12 is not listed on IDEAS
    2. Yang, Hanfang & Zhao, Yichuan, 2012. "Smoothed empirical likelihood for ROC curves with censored data," Journal of Multivariate Analysis, Elsevier, vol. 109(C), pages 254-263.
    3. Yang, Hanfang & Zhao, Yichuan, 2015. "Smoothed jackknife empirical likelihood inference for ROC curves with missing data," Journal of Multivariate Analysis, Elsevier, vol. 140(C), pages 123-138.
    4. Lang, Joseph B., 1999. "Bayesian ordinal and binary regression models with a parametric family of mixture links," Computational Statistics & Data Analysis, Elsevier, vol. 31(1), pages 59-87, July.
    5. Benjamin R. Shear & Sean F. Reardon, 2021. "Using Pooled Heteroskedastic Ordered Probit Models to Improve Small-Sample Estimates of Latent Test Score Distributions," Journal of Educational and Behavioral Statistics, , vol. 46(1), pages 3-33, February.
    6. Maria G.M. Hunink & Douglas K. Richardson & Peter M. Doubilet & Colin B. Begg, 1990. "Testing for Fetal Pulmonary Maturity," Medical Decision Making, , vol. 10(3), pages 201-211, August.
    7. Jin, Hua & Lu, Ying, 2009. "The ROC region of a regression tree," Statistics & Probability Letters, Elsevier, vol. 79(7), pages 936-942, April.
    8. B Rey deCastro, 2019. "Cumulative ROC curves for discriminating three or more ordinal outcomes with cutpoints on a shared continuous measurement scale," PLOS ONE, Public Library of Science, vol. 14(8), pages 1-16, August.
    9. Rodríguez-Álvarez, María Xosé & Tahoces, Pablo G. & Cadarso-Suárez, Carmen & Lado, María José, 2011. "Comparative study of ROC regression techniques--Applications for the computer-aided diagnostic system in breast cancer detection," Computational Statistics & Data Analysis, Elsevier, vol. 55(1), pages 888-902, January.
    10. Nasim Vahabi & Anoshirvan Kazemnejad & Somnath Datta, 2018. "A Marginalized Overdispersed Location Scale Model for Clustered Ordinal Data," Sankhya B: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 80(1), pages 103-134, December.
    11. Ziyi Li & Yijian Huang & Dattatraya Patil & Martin G. Sanda, 2023. "Covariate adjustment in continuous biomarker assessment," Biometrics, The International Biometric Society, vol. 79(1), pages 39-48, March.
    12. Rodríguez-Álvarez, María Xosé & Roca-Pardiñas, Javier & Cadarso-Suárez, Carmen, 2011. "A new flexible direct ROC regression model: Application to the detection of cardiovascular risk factors by anthropometric measures," Computational Statistics & Data Analysis, Elsevier, vol. 55(12), pages 3257-3270, December.
    13. Wilbert B. van den Hout, 2003. "The Area under an ROC Curve with Limited Information," Medical Decision Making, , vol. 23(2), pages 160-166, March.
    14. Sean F. Reardon & Benjamin R. Shear & Katherine E. Castellano & Andrew D. Ho, 2017. "Using Heteroskedastic Ordered Probit Models to Recover Moments of Continuous Test Score Distributions From Coarsened Data," Journal of Educational and Behavioral Statistics, , vol. 42(1), pages 3-45, February.

    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. A. E. Ades & Karl Claxton & Mark Sculpher, 2006. "Evidence synthesis, parameter correlation and probabilistic sensitivity analysis," Health Economics, John Wiley & Sons, Ltd., vol. 15(4), pages 373-381, April.
    2. Huazhen Lin & Ling Zhou & Chunhong Li & Yi Li, 2014. "Semiparametric transformation models for semicompeting survival data," Biometrics, The International Biometric Society, vol. 70(3), pages 599-607, September.
    3. Pedram Sendi & Huldrych F Günthard & Mathew Simcock & Bruno Ledergerber & Jörg Schüpbach & Manuel Battegay & for the Swiss HIV Cohort Study, 2007. "Cost-Effectiveness of Genotypic Antiretroviral Resistance Testing in HIV-Infected Patients with Treatment Failure," PLOS ONE, Public Library of Science, vol. 2(1), pages 1-8, January.
    4. Karl Claxton & Elisabeth Fenwick & Mark J. Sculpher, 2012. "Decision-making with Uncertainty: The Value of Information," Chapters, in: Andrew M. Jones (ed.), The Elgar Companion to Health Economics, Second Edition, chapter 51, Edward Elgar Publishing.
    5. Ya-Chen Shih & Josephine Mauskopf & Rohit Borker, 2007. "A Cost-Effectiveness Analysis of First-Line Controller Therapies for Persistent Asthma," PharmacoEconomics, Springer, vol. 25(7), pages 577-590, July.
    6. James C. Felli & Gordon B. Hazen, 2004. "Javelin Diagrams: A Graphical Tool for Probabilistic Sensitivity Analysis," Decision Analysis, INFORMS, vol. 1(2), pages 93-107, June.
    7. Jordan Amdahl & Jose Diaz & Arati Sharma & Jinhee Park & David Chandiwana & Thomas E Delea, 2017. "Cost-effectiveness of pazopanib versus sunitinib for metastatic renal cell carcinoma in the United Kingdom," PLOS ONE, Public Library of Science, vol. 12(6), pages 1-18, June.
    8. Glenn D. Rennels & Edward H. Shortliffe & Perry L. Miller, 1987. "Choice and Explanation in Medical Management," Medical Decision Making, , vol. 7(1), pages 22-31, February.
    9. Rowan Iskandar & Carlo Federici & Cassandra Berns & Carl Rudolf Blankart, 2022. "An approach to quantify parameter uncertainty in early assessment of novel health technologies," Health Economics, John Wiley & Sons, Ltd., vol. 31(S1), pages 116-134, September.
    10. David L. Simel & John R. Feussner & Elizabeth R. Delong & David B. Matchar, 1987. "Intermediate, Indeterminate, and Uninterpretable Diagnostic Test Results," Medical Decision Making, , vol. 7(2), pages 107-114, June.
    11. Catherine A. Goodman & Paul G. Coleman & Anne J. Mills, 2001. "Changing the first line drug for malaria treatment—cost‐effectiveness analysis with highly uncertain inter‐temporal trade‐offs," Health Economics, John Wiley & Sons, Ltd., vol. 10(8), pages 731-749, December.
    12. Carus, Jana & Heuner, Maike & Paul, Maike & Schröder, Boris, 2017. "Which factors and processes drive the spatio-temporal dynamics of brackish marshes?—Insights from development and parameterisation of a mechanistic vegetation model," Ecological Modelling, Elsevier, vol. 363(C), pages 122-136.
    13. Gabriel Rogers & Ruth Garside & Stuart Mealing & Martin Pitt & Rob Anderson & Matthew Dyer & Ken Stein & Margaret Somerville, 2008. "Carmustine Implants for the Treatment of Newly Diagnosed High-Grade Gliomas," PharmacoEconomics, Springer, vol. 26(1), pages 33-44, January.
    14. Eugene Demidenko, 2012. "Confidence intervals and bands for the binormal ROC curve revisited," Journal of Applied Statistics, Taylor & Francis Journals, vol. 39(1), pages 67-79, March.
    15. Junxiang Zhou & Yixin Wang & Gang Jiang, 2020. "Oxycodone versus morphine for cancer pain titration: A systematic review and pharmacoeconomic evaluation," PLOS ONE, Public Library of Science, vol. 15(4), pages 1-19, April.
    16. K. Claxton & P. J. Neumannn & S. S. Araki & M. C. Weinstein, "undated". "Bayesian Value-of-Information Analysis: An Application to a Policy Model of Alzheimer's Disease," Discussion Papers 00/39, Department of Economics, University of York.
    17. Nadia Yakhelef & Martine Audibert & Gabriella Ferlazzo & Joseph Sitienei & Steve Wanjala & Francis Varaine & Maryline Bonnet & Helena Huerga, 2020. "Cost-effectiveness of diagnostic algorithms including lateral-flow urine lipoarabinomannan for HIV-positive patients with symptoms of tuberculosis," Post-Print halshs-03170014, HAL.
    18. David J. Vanness & W. Ray Kim, 2002. "Bayesian estimation, simulation and uncertainty analysis: the cost‐effectiveness of ganciclovir prophylaxis in liver transplantation," Health Economics, John Wiley & Sons, Ltd., vol. 11(6), pages 551-566, September.
    19. Leivo, T. & Salomaa, A. & Kosunen, T. U. & Tuominen, R. & Farkkila, M. & Linna, M. & Sintonen, H., 2004. "Cost-benefit analysis of Helicobacter pylori screening," Health Policy, Elsevier, vol. 70(1), pages 85-96, October.
    20. J. Robert Beck, 1986. "Independent Development of Probabilistic Sensitivity Analysis," Medical Decision Making, , vol. 6(2), pages 66-67, June.

    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:sae:medema:v:8:y:1988:i:3:p:204-215. 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: SAGE Publications (email available below). General contact details of provider: .

    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.