91
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

Using Adjacent-category Logits Procedure for Estimating Receiver Operating Characteristic Surface

, &
Pages 902-919 | Received 13 Jun 2013, Accepted 30 Dec 2013, Published online: 03 Nov 2015

References

  • Agresti, A. (2002). Categorical Data Analysis.. New York: John Wiley & Sons.
  • Dreiseitl, S., Ohno-Machado, L., Binder, M. (2000). Comparing three-class diagnostic tests by three-way ROC analysis. Medical Decision Making 20(3):323–331.
  • Efron, B., Tibshirani, R.J. (1994). An Introduction to the Bootstrap (Chapman & Hall/CRC Monographs on Statistics & Applied Probability). Boca Raton, FL: CRC Press.
  • Fokianos, K., Kaimi, I. (2006). On the effect of misspecifying the density ratio model. Annals of the Institute of Statistical Mathematics 58(3):475–497.
  • Kay, R., Little, S. (1987). Transformations of the explanatory variables in the logistic regression model for binary data. Biometrika 74(3):495–501.
  • Li, J., Fine, J.P. (2008). ROC analysis with multiple classes and multiple tests: Methodology and its application in microarray studies. Biostatistics 9(3):566–576.
  • Li, J., Zhou, X.H. (2009). Nonparametric and semiparametric estimation of the three way receiver operating characteristic surface. Journal of Statistical Planning and Inference 139(12):4133–4142.
  • Luo, J., Xiong, C. (2012). DiagTest3Grp: An R package for analyzing diagnostic tests with three ordinal groups. Journal of Statistical Software 51(3):1–24.
  • Mossman, D. (1999). Three-way rocs. Medical Decision Making 19(1):78–89.
  • Nakas, C.T., Yiannoutsos, C.T. (2004). Ordered multiple-class ROC analysis with continuous measurements. Statistics in Medicine 23(22):3437–3449.
  • Ossima, A.D., Daurès, J.P., Bessaoud, F., Trétarre, B. (2015). The generalized Lehmann ROC curves: Lehmann family of ROC surfaces. Journal of Statistical Computation and Simulation 85(3):1–12.
  • Owen, A.B. (1988). Empirical likelihood ratio confidence intervals for a single functional. Biometrika 75(2):237–249.
  • Owen, A. (1990). Empirical likelihood ratio confidence regions. The Annals of Statistics 18(1):90–120.
  • Pepe, M.S. (2004). The Statistical Evaluation of Medical Tests for Classification and Prediction. USA: Oxford University Press.
  • Qin, J., Lawless, J. (1994). Empirical likelihood and general estimating equations. The Annals of Statistics 22(1):300–325.
  • Qin, J., Zhang, B. (1997). A goodness-of-fit test for logistic regression models based on case-control data. Biometrika 84(3):609–618.
  • Qin, J., Zhang, B. (2003). Using logistic regression procedures for estimating receiver operating characteristic curves. Biometrika 90(3):585–596.
  • Wan, S., Zhang, B. (2007). Smooth semiparametric receiver operating characteristic curves for continuous diagnostic tests. Statistics in Medicine 26(12):2565–2586.
  • Wan, S., Zhang, B. (2009). Semiparametric ROC surfaces for continuous diagnostic tests based on two test measurements. Statistics in Medicine 28(18):2370–2383.
  • Wan, S., Zhang, B. (2013). Semiparametric ROC surface estimation for continuous diagnostic tests via polytomous logistic regression procedures. Journal of Statistical Computation and Simulation 83(12):1–11.
  • Xiong, C., van Belle, G., Miller, J.P., Morris, J.C. (2006). Measuring and estimating diagnostic accuracy when there are three ordinal diagnostic groups. Statistics in Medicine 25(7):1251–1273.
  • Zhang, Y., Li, J. (2011). Combining multiple markers for multi-category classification: An ROC surface approach. Australian & New Zealand Journal of Statistics 53(1):63–78.
  • Zhou, X.H., Obuchowski, N.A., McClish, D.K. (2011). Statistical Methods in Diagnostic Medicine.. New York: Wiley.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.