Interval estimation for the difference in paired areas under the ROC curves in the absence of a gold standard test

Statistics in Medicine

Volumn 28, Issue 25, 2009, Pages 3108-3123

  Hsieh, Hsin Neng ^a   Su, Hsiu Yuan ^a   Zhou, Xiao Hua ^b,c  

^a NATIONAL TAIWAN UNIVERSITY   (Taiwan)

^b VA PUGET SOUND HEALTH CARE SYSTEM   (United States)

^c UNIVERSITY OF WASHINGTON   (United States)

Author keywords

Area under the ROC curve; Bootstrap method; EM algorithm; Gold standard test; Maximum likelihood estimation; Missing disease status

Indexed keywords

CA 125 ANTIGEN; CA 19-9 ANTIGEN;

ACCURACY; ALGORITHM; ANTIGEN DETECTION; AREA UNDER THE CURVE; ARTICLE; BIVARIATE ANALYSIS; BOOTSTRAPPING; CONFIDENCE INTERVAL; DATA ANALYSIS; DENSITY FUNCTIONAL THEORY; DIAGNOSTIC TEST; GOLD STANDARD; HUMAN; MAGNETIC RESONANCE ANGIOGRAPHY; MAXIMUM LIKELIHOOD METHOD; NORMAL DISTRIBUTION; PANCREAS CANCER; PROBABILITY; RANDOM SAMPLE; RECEIVER OPERATING CHARACTERISTIC; SIMULATION; VARIANCE;

AREA UNDER CURVE; CASE-CONTROL STUDIES; COMPUTER SIMULATION; CONFIDENCE INTERVALS; CORONARY ARTERY DISEASE; DIAGNOSTIC TESTS, ROUTINE; HUMANS; MAGNETIC RESONANCE ANGIOGRAPHY; PANCREATIC NEOPLASMS; REPRODUCIBILITY OF RESULTS; ROC CURVE; TUMOR MARKERS, BIOLOGICAL;

EID: 70449380601     PISSN: 02776715     EISSN: 10970258     Source Type: Journal    
DOI: 10.1002/sim.3661     Document Type: Article

References (18)

1. Zhou XH, Obuchowski NA, McClish DK. Statistical Methods in Diagnostic Medicine. Wiley: New York, 2002.
2. Pepe MS. The Statistical Evaluation of Medical Tests for Classification and Prediction. Oxford University Press: New York, 2003.
3. DeLong ER, DeLong DM, Clarke-Pearson DL. Comparing the areas under two or more correlated receiver operating characteristic curves: a nonparametric approach. Biometrics 1988; 44:837-845.
4. McClish DK. Analyzing a portion of the ROC curve. Medical Decision Making 1989; 9:190-195.
5. Li CR, Liao CT, Liu JP. On the exact interval estimation for the difference in paired areas under the ROC curves. Statistics in Medicine 2008; 27:224-242. (Pubitemid 351193649)
6. Henkelman RM, Kay I, Bronskill MJ. Receiver operator characteristic (ROC) analysis without truth. Medical Decision Making 1990; 10:24-29. (Pubitemid 20086093)
7. Beiden SV, Campbell G, Meier KL, Wagner RF. On the problem of ROC analysis without truth: the EM algorithm and the information matrix. Proceedings of SPIE, San Diego, CA, vol.3981, 2000; 126-134. (Pubitemid 30856687)
8. Enøe C, Georgiadis MP, Johnson WO. Estimation of sensitivity and specificity of diagnostic tests and disease prevalence when the true disease state is unknown. Preventive Veterinary Medicine 2000; 45:61-81. (Pubitemid 30308340)
9. Dendukuri N, Joseph L. Bayesian approaches to modeling the conditional dependence between multiple diagnostic tests. Biometrics 2001; 57:158-167. (Pubitemid 32200150)
10. Georgiadis MP, Johnson WO, Gardner IA, Singh R. Correlation-adjusted estimation of sensitivity and specificity of two diagnostic tests. Applied Statistics 2003; 52:63-76. (Pubitemid 37155357)
11. Zhou XH, Castelluccio P, Zhou C. Nonparametric estimation of ROC curves in the absence of a gold standard. Biometrics 2005; 61:600-609. (Pubitemid 40853438)
12. Choi YK, Johnson WO, Collins MT, Gardner IA. Bayesian inference for receiver operating characteristic curves in the absence of a gold standard. Journal of Agricultural, Biological, and Environmental Statistics 2006; 11:210-229.
13. Branscum AJ, Johnson WO, Hanson TE, Gardner IA. Bayesian semiparametric ROC curve estimation and disease diagnosis. Statistics in Medicine 2008; 27:2474-2496.
14. Liu JP, Ma MC, Wu CY, Tai JY. Tests of equivalence and non-inferiority for diagnostic accuracy based on the paired areas under ROC curves. Statistics in Medicine 2006; 25:1219-1238.
15. Wieand S, Gail MH, James BR, James KL. A family of nonparametric statistics for comparing diagnostic markers with paired or unpaired data. Biometrika 1989; 76:585-592.
16. Masaryk AM, Ross JS, DiCello MC, Modic MT, Paranandi L, Masaryk TJ. 3DFT MR angiography of the carotid bifurcation: potential and limitations as a screening examination. Radiology 1991; 179:797-804.
17. Obuchowski N, Lieber ML. Confidence intervals for the receiver operating characteristic area in studies with small samples. Academic Radiology 1998; 5:561-571. (Pubitemid 28361349)
18. Hui SL, Zhou XH. Evaluation of diagnostic tests without gold standards. Statistical Methods in Medical Research 1998; 7:354-370. (Pubitemid 28559254)