Nonparametric Bayesian estimation of the three-way receiver operating characteristic surface

Biometrical Journal

Volumn 53, Issue 6, 2011, Pages 1011-1024

  Inácio, Vanda ^a   Turkman, Antónia A ^a   Nakas, Christos T ^b   Alonzo, Todd A ^c  

^a UNIVERSITY OF LISBON   (Portugal)

^b UNIVERSITY OF THESSALY   (Greece)

^c UNIVERSITY OF SOUTHERN CALIFORNIA   (United States)

Author keywords

HIV data; Markov chain Monte Carlo; Mixtures of finite Polya trees; ROC analysis

Indexed keywords

BAYESIAN NETWORKS; DISEASES; MAGNETIC RESONANCE SPECTROSCOPY; MARKOV PROCESSES; NUCLEAR MAGNETIC RESONANCE; VIRUSES;

BAYESIAN APPROACHES; BAYESIAN ESTIMATIONS; CHARACTERISTIC SURFACES; HIV DATA; MARKOV CHAIN MONTE CARLO; MARKOV CHAIN MONTE-CARLO; MIXTURE OF FINITE POLYA TREE; NON-PARAMETRIC BAYESIAN; RECEIVER OPERATING CHARACTERISTICS; ROC ANALYSIS;

DIAGNOSIS;

EID: 80755143341     PISSN: 03233847     EISSN: 15214036     Source Type: Journal    
DOI: 10.1002/bimj.201100070     Document Type: Article

References (22)

1. Branscum, A. J., Johnson, W. O., Hanson, T. E. and Gardner, I. A. (2008). Bayesian semiparametric ROC curve estimation and disease diagnosis. Statistics in Medicine 27, 2474-2496.
2. Chang, L., Lee, P. L., Yannoutsos, C. T., Ernst, T., Marra, C. M., Richards, T., Kolson, D., Schifitto, G., Jarvik, J. G., Miller, E. N., Lenkinski, R., Gonzalez, G. and Navia, B. A. (2004). A multicenter in vivo proton-MRS study of HIV-asociated dementia and its relationship to age. Neuroimage 23, 1336-1347.
3. Fabius, J. (1964). Asymptotic behavior of Bayes' estimates. Annals of the Institute of Statistical Mathematics 35, 846-856.
4. Ferguson, T. S. (1974). Prior distributions on spaces of probability measures. The Annals of Statistics 2, 615-629.
5. Freedman, D. A. (1963). On the asymptotic behavior of Bayes' estimates in the discrete case. Annals of the Institute of Statistical Mathematics 34, 1194-1216.
6. Gu, J., Ghosal, S. and Roy, A. (2008). Bayesian bootstrap estimation of ROC curve. Statistics in Medicine 27, 5407-5420.
7. Hanson, T. E. (2006). Inference for mixtures of finite Polya tree models. Journal of the American Statistical Association 101, 1548-1565.
8. Hanson, T. E., Kottas, A. and Branscum, A. J. (2008). Modelling stochastic order in the analysis of receiver operating characteristic data: Bayesian non-parametric approaches. Journal of the Royal Statistical Society: Series C 57, 207-225.
9. Heckerling, P. S. (2001). Parametric three-way receiver operating characteristic surface analysis using Mathematica. Medical Decision Making 20, 409-417.
10. Lavine, M. (1992). Some aspects of Polya tree distributions for statistical modeling. The Annals of Statistics 20, 1222-1235.
11. Lavine, M. (1994). More aspects of Polya tree distributions for statistical modeling. The Annals of Statistics 22, 1161-1176.
12. Li, J. and Zhou, X. H. (2009). Nonparametric and semiparametric estimation of the three way receiver operating characteristic surface. Journal of Statistical Planning and Inference 139, 4133-4142.
13. López-Villegas, D., Lenkinski, R. E. and Frank, I. (1997). Biochemical changes in the frontal lobe of HIV-infected individuals detected by magnetic resonance spectroscopy. Proceedings of the National Academy of Sciences of the United States of America 94, 9854-9859.
14. Meyerhoff, D., McKay, S., Bahman, L., Poole, N., Dillon, W., Weiner, M. W. and Fein, G. (1993). Reduced brain n-acetylaspertate suggest neuronal loss in cognitively impaired human immunodeficiency virus-seropositive individuals: in vivo H magnetic resonance spectroscopic imaging. Neurology 43, 509-515.
15. Meyerhoff, D., McKay, S., Bahman, L., Poole, N., Dillon, W., Weiner, M. W. and Fein, G. (1994). N-Acetylaspertate reductions measured by H-MRSI in cognitively impaired HIV-seropositive individuals. Magnetic Resonance Imaging 12, 653-659.
16. Mossman, D. (1999). Three-way ROCs. Medical Decision Making 19, 78-89.
17. Nadler, J. V. and Cooper, J. R. (1972). N-Acetyl-aspartic acid content of human neural tumors and bovine peripheral nervous tissue. Journal of Neurochemistry 19, 313-319.
18. Nakas, C. T., Alonzo, T. A. and Yiannoutsos, C. T. (2010). Accuracy and cut-off point selection in three-class classification problems using a generalization of the Youden index. Statistics in Medicine 29, 2946-2955.
19. Nakas, C. T. and Yiannoutsos, C. T. (2004). Ordered multiple-class ROC analysis with continuous measurements. Statistics in Medicine 23, 3437-3449.
20. Navia, B. A., Cho, E. S., Petito, C. K. and Price, R. W. (1986a). The aids dementia complex: II. Neuropathology. Annals of Neurology 19, 525-535.
21. Navia, B. A., Jordan, B. D. and Price, R. W. (1986b). The aids dementia complex: I. Clinical features. Annals of Neurology 19, 517-524.
22. Pepe, M. S. (2003). The Statistical Evaluation of Medical Tests for Classification and Prediction. Oxford University Press, Oxford.