Area under the ROC curve comparison in the presence of missing data

Journal of the Korean Statistical Society

Volumn 42, Issue 4, 2013, Pages 431-442

  Martínez Camblor, Pablo ^a  

^a UNIVERSITY OF OVIEDO   (Spain)

Author keywords

AUC; Bootstrap method; Missing data; Non parametric test; ROC curve

Indexed keywords

EID: 84885855004     PISSN: 12263192     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jkss.2013.01.004     Document Type: Article

References (36)

1. Baker S.G. The central role of receiver operating characteristic (ROC) curves in evaluating tests for the early detection of cancer. Journal of the National Cancer Institute 2003, 95(7):511-515.
2. Bandos A.I., Rockette H.E., Gur D. A permutation test sensitive to differences in areas for comparing ROC curves from paired design. Statistics in Medicine 2005, 24:2873-2893.
3. Bhoj D.S. Testing equality of means of correlated variates with missing observations on both. Biometrika 1978, 65(1):225-228.
4. Braun T., Alonzo T.A. A modified sign test for comparing paired ROC curves. Biostatistics 2008, 9:364-372.
5. Cai T. Semi-parametric ROC regression analysis with placement values. Biostatistics 2004, 5(1):45-60.
6. Campbell G. Advances in statistical methodology for the evaluation of diagnostic and laboratory tests. Statistics in Medicine 1994, 13:499-508.
7. DeLong E.R., DeLong D.M., Clarke-Pearson D.L. Comparing the areas under two or more correlated receiver operating characteristic curves: a nonparametric approach. Biometrics 1988, 3:837-845.
8. Dorfman D.D., Alf E. Maximum likelihood estimation of parameters of signal detection theory and determination of confidence interval-rating method data. Journal of Mathematical Psychology 1969, 6:487-496.
9. Fluss R., Faraggi D., Reiser B. Estimation of the Youden Index and it's associated cutoff point. Biometrical Journal 2005, 47(4):458-472.
10. Green D.M., Swets J.E. Signal detection theory and psychophysics 1966, Wiley, New York.
11. Hilden J. The area under the ROC curve and its competitors. Medical Decision Making 1991, 11(2):95-101.
12. Hsieh F., Turnbull B.W. Nonparametric and semiparametric estimation of the receiver operating characteristic curve. Annals of Statistics 1996, 24(1):25-40.
13. Krzanowski W.J., Hand D.J. ROC curves for continuous data 2009, CRC Press.
14. Krzanowski W.J., Hand D.J. Testing the difference between two Kolmogorov-Smirnov values in the context of receiver operating characteristic curves. Journal of Applied Statistics 2011, 38(3):437-450.
15. Lee W.C., Hsiao C.K. Alternative summary indices for the receiver operating characteristic curve. Epidemiology 1996, 7:605-611.
16. Little R., Rubin D.B. Statistical analysis with missing data 2002, John Wiley & Sons, New York. 2nd ed.
17. Martínez-Camblor P. Comparación de pruebas diagnósticas desde la curva ROC. Revista Colombiana de Estadística 2007, 30(2):163-176.
18. Martínez-Camblor P. Nonparametric cutoff point estimation for diagnostic decisions with weighted errors. Revista Colombiana de Estadística 2011, 34(1):133-146.
19. Martínez-Camblor P., Carleos C., Corral N. Powerful nonparametric statistics to compare k independent ROC curves. Journal of Applied Statistics 2011, 38(7):1317-1332.
20. Martínez-Camblor P., Carleos C., Corral N. General nonparametric ROC curves comparison. Journal of the Korean Statistical Society 2013, 42:71-81.
21. Martínez-Camblor P., Corral N. A general bootstrap algorithm for hypothesis testing. Journal of Statistical Planning & Inference 2012, 142(2):589-600.
22. Martínez-Camblor P., Corral N., De la Hera J. Hypothesis test for paired samples in the presence of missing data. Journal of Applied Statistics 2013, 40(1):76-87.
23. Metz C.E., Herman B.A., Roe C.H. Statistical comparison of two ROC-curve estimates obtained from partially-paired datasets. Medical Decision Making 1988, 18:110-121.
24. Moise A., Clement B., Raissis M. A test for crossing receiver operating characteristic (ROC) curves. Communications in Statistics-Theory and Methods 1988, 17:1985-2003.
25. Rey C., Los Arcos M., Concha A., Medina A., Prieto S., Martínez-Camblor P., Prieto B. Procalcitonin and C-reactive protein as markers of systemic inflammatory response syndrome severity in critically ill children. Intensive Care Medicine 2007, 33(3):477-484.
26. Roch A. Increased level of pro-AVP and pro-ADM in septic shock patients: that could it mean?. Intensive Care Medicine 2009, 35:1827-1829.
27. Rodríguez-Álvarez M.X., Tahoces P.G., Cadarso-Suárez C., Lado M.J. Comparative study of ROC regression techniques-applications for the computer-aided diagnostic system in breast cancer detection. Computational Statistics and Data Analysis 2011, 55(1):888-902.
28. Rubin D.B. Inference and missing data. Biometrics 1976, 63:581-592.
29. Spritzler J., De Gruttola V.G., Pei L. Two-sample tests of area-under-the-curve in the presence of missing data. The International Journal of Biostatistics 2008, 4(1):1-18.
30. Van der Vaart A.W. Asymptotic statistics 1998, Cambridge University Press, Cambridge.
31. Venkatraman E.S. A permutation test to compare receiver operating characteristic curves. Biometrics 2000, 56:1134-1138.
32. Venkatraman E.S., Begg C.B. A distribution-free procedure for comparing receiver operating characteristic curves from a paired experiment. Biometrika 1996, 83(4):835-848.
33. Wieand S., Gail M.H., James B.R., James K.L. A family of nonparametric statistics for comparing diagnostic markers with paired or unpaired data. Biometrika 1989, 76(3):585-592.
34. Yousef W.A., Kundu S., Wagner R.F. Nonparametric estimation of the threshold at an operating point on the ROC curve. Computational Statistics and Data Analysis 2009, 33(12):4370-4383.
35. Zhou X.H., Gatsonis C.A. A simple method for comparing correlated ROC curves using incomplete data. Statistics in Medicine 1996, 15(15):1687-1693.
36. Zhou X.H., Obuchowski N.A., McClish D.K. Statistical methods in diagnostic medicine 2002, Wiley & Son, New York.