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Volumn 57, Issue 2, 2008, Pages 207-225

Modelling stochastic order in the analysis of receiver operating characteristic data: Bayesian non-parametric approaches

Author keywords

Area under the curve; Dirichlet process mixtures; Johne's disease; Markov chain Monte Carlo methods; Mixtures of Polya trees; Serologic data

Indexed keywords


EID: 43449135011     PISSN: 00359254     EISSN: 14679876     Source Type: Journal    
DOI: 10.1111/j.1467-9876.2007.00609.x     Document Type: Article
Times cited : (22)

References (34)
  • 1
    • 0000708831 scopus 로고
    • Mixtures of Dirichlet processes with applications to nonparametric problems
    • Antoniak, C. E. (1974) Mixtures of Dirichlet processes with applications to nonparametric problems. Ann. Statist., 2, 1152 1174.
    • (1974) Ann. Statist. , vol.2 , pp. 1152-1174
    • Antoniak, C.E.1
  • 2
    • 49549139345 scopus 로고
    • The area above the ordinal dominance graph and the area below the receiver operating characteristic graph
    • Bamber, D. (1975) The area above the ordinal dominance graph and the area below the receiver operating characteristic graph. J. Math. Psychol., 12, 387 415.
    • (1975) J. Math. Psychol. , vol.12 , pp. 387-415
    • Bamber, D.1
  • 3
    • 0002617436 scopus 로고
    • Ferguson distributions via Pólya urn schemes
    • Blackwell, D. MacQueen, J. B. (1973) Ferguson distributions via Pólya urn schemes. Ann. Statist., 1, 353 355.
    • (1973) Ann. Statist. , vol.1 , pp. 353-355
    • Blackwell, D.1    MacQueen, J.B.2
  • 6
    • 33744792696 scopus 로고    scopus 로고
    • Bayesian inferences for Receiver Operating Characteristic curves in the absence of a gold standard
    • Choi, Y.-K., Johnson, W. O., Collins, M. T. Gardner, I. A. (2006) Bayesian inferences for Receiver Operating Characteristic curves in the absence of a gold standard. J. Agric. Biol. Environ. Statist., 11, 210 229.
    • (2006) J. Agric. Biol. Environ. Statist. , vol.11 , pp. 210-229
    • Choi, Y.-K.1    Johnson, W.O.2    Collins, M.T.3    Gardner, I.A.4
  • 8
    • 4043113155 scopus 로고    scopus 로고
    • Discussion on 'Bayesian nonparametric inference for random distributions and related functions' (by S. G. Walker, P. Damien, P. W. Laud and A. F. M. Smith)
    • Draper, D. (1999) Discussion on 'Bayesian nonparametric inference for random distributions and related functions' (by S. G. Walker, P. Damien, P. W. Laud and A. F. M. Smith). J. R. Statist. Soc. B, 61, 510 513.
    • (1999) J. R. Statist. Soc. B , vol.61 , pp. 510-513
    • Draper, D.1
  • 10
    • 84950937290 scopus 로고
    • Bayesian density estimation and inference using mixtures
    • Escobar, M. D. West, M. (1995) Bayesian density estimation and inference using mixtures. J. Am. Statist. Ass., 90, 577 588.
    • (1995) J. Am. Statist. Ass. , vol.90 , pp. 577-588
    • Escobar, M.D.1    West, M.2
  • 11
    • 0001120413 scopus 로고
    • A Bayesian analysis of some nonparametric problems
    • Ferguson, T. S. (1973) A Bayesian analysis of some nonparametric problems. Ann. Statist., 1, 209 230.
    • (1973) Ann. Statist. , vol.1 , pp. 209-230
    • Ferguson, T.S.1
  • 12
    • 0000780135 scopus 로고
    • Prior distributions on spaces of probability measures
    • Ferguson, T. S. (1974) Prior distributions on spaces of probability measures. Ann. Statist., 2, 615 629.
    • (1974) Ann. Statist. , vol.2 , pp. 615-629
    • Ferguson, T.S.1
  • 13
    • 0001526195 scopus 로고
    • A predictive approach to model selection
    • Geisser, S. Eddy, W. F. (1979) A predictive approach to model selection. J. Am. Statist. Ass., 74, 153 160.
    • (1979) J. Am. Statist. Ass. , vol.74 , pp. 153-160
    • Geisser, S.1    Eddy, W.F.2
  • 14
    • 6644223092 scopus 로고    scopus 로고
    • Nonparametric Bayesian modeling for stochastic order
    • Gelfand, A. E. Kottas, A. (2001) Nonparametric Bayesian modeling for stochastic order. Ann. Inst. Statist. Math., 53, 865 876.
    • (2001) Ann. Inst. Statist. Math. , vol.53 , pp. 865-876
    • Gelfand, A.E.1    Kottas, A.2
  • 15
    • 0001173707 scopus 로고
    • Nonparametric Bayesian bioassay including ordered polytomous response
    • Gelfand, A. E. Kuo, L. (1991) Nonparametric Bayesian bioassay including ordered polytomous response. Biometrika, 78, 657 666.
    • (1991) Biometrika , vol.78 , pp. 657-666
    • Gelfand, A.E.1    Kuo, L.2
  • 16
    • 0034732869 scopus 로고    scopus 로고
    • Principles and practical application of receiver operating characteristic analysis for diagnostic tests
    • Greiner, M., Pfeiffer, D. Smith, R. D. (2000) Principles and practical application of receiver operating characteristic analysis for diagnostic tests. Prev. Veter. Med., 45, 23 41.
    • (2000) Prev. Veter. Med. , vol.45 , pp. 23-41
    • Greiner, M.1    Pfeiffer, D.2    Smith, R.D.3
  • 17
    • 33846106535 scopus 로고    scopus 로고
    • Inference for mixtures of finite Polya tree models
    • Hanson, T. E. (2006) Inference for mixtures of finite Polya tree models. J. Am. Statist. Ass., 101, 1548 1565.
    • (2006) J. Am. Statist. Ass. , vol.101 , pp. 1548-1565
    • Hanson, T.E.1
  • 18
    • 67649364226 scopus 로고    scopus 로고
    • Bayesian nonparametric modeling and data analysis: An introduction
    • In. eds. D. K. Dey. C. R. Rao. pp. Amsterdam: Elsevier.
    • Hanson, T. E., Branscum, A. J. Johnson, W. O. (2005) Bayesian nonparametric modeling and data analysis: an introduction. In Bayesian Thinking: Modeling and Computation (eds D. K. Dey C. R. Rao pp. 245 278. Amsterdam : Elsevier.
    • (2005) Bayesian Thinking: Modeling and Computation , pp. 245-278
    • Hanson, T.E.1    Branscum, A.J.2    Johnson, W.O.3
  • 19
    • 0036969133 scopus 로고    scopus 로고
    • Modeling regression error with a mixture of Polya trees
    • Hanson, T. Johnson, W. O. (2002) Modeling regression error with a mixture of Polya trees. J. Am. Statist. Ass., 97, 1020 1033.
    • (2002) J. Am. Statist. Ass. , vol.97 , pp. 1020-1033
    • Hanson, T.1    Johnson, W.O.2
  • 20
    • 28044451526 scopus 로고    scopus 로고
    • Nonparametric Bayesian survival analysis using mixtures of Weibull distributions
    • Kottas, A. (2006) Nonparametric Bayesian survival analysis using mixtures of Weibull distributions. J. Statist. Planng Inf., 136, 578 596.
    • (2006) J. Statist. Planng Inf. , vol.136 , pp. 578-596
    • Kottas, A.1
  • 21
    • 0036714154 scopus 로고    scopus 로고
    • A nonparametric Bayesian modeling approach for cytogenetic dosimetry
    • Kottas, A., Branco, M. D. Gelfand, A. E. (2002) A nonparametric Bayesian modeling approach for cytogenetic dosimetry. Biometrics, 58, 593 600.
    • (2002) Biometrics , vol.58 , pp. 593-600
    • Kottas, A.1    Branco, M.D.2    Gelfand, A.E.3
  • 22
    • 35948934578 scopus 로고    scopus 로고
    • Modeling variability order: A semiparametric Bayesian approach
    • Kottas, A. Gelfand, A. E. (2001) Modeling variability order: a semiparametric Bayesian approach. Methodol. Comput. Appl. Probab., 3, 427 442.
    • (2001) Methodol. Comput. Appl. Probab. , vol.3 , pp. 427-442
    • Kottas, A.1    Gelfand, A.E.2
  • 23
    • 21144477858 scopus 로고
    • Some aspects of Polya tree distributions for statistical modeling
    • Lavine, M. (1992) Some aspects of Polya tree distributions for statistical modeling. Ann. Statist., 20, 1222 1235.
    • (1992) Ann. Statist. , vol.20 , pp. 1222-1235
    • Lavine, M.1
  • 24
    • 21844505499 scopus 로고
    • More aspects of Polya tree distributions for statistical modeling
    • Lavine, M. (1994) More aspects of Polya tree distributions for statistical modeling. Ann. Statist., 22, 1161 1176.
    • (1994) Ann. Statist. , vol.22 , pp. 1161-1176
    • Lavine, M.1
  • 25
    • 33846200422 scopus 로고    scopus 로고
    • A solution to the most basic optimization problem associated with an ROC curve
    • Le, C. T. (2006) A solution to the most basic optimization problem associated with an ROC curve. Statist. Meth. Med. Res., 15, 571 584.
    • (2006) Statist. Meth. Med. Res. , vol.15 , pp. 571-584
    • Le, C.T.1
  • 26
    • 0032286859 scopus 로고    scopus 로고
    • Using smoothed receiver operating characteristic curves to summarize and compare diagnostic systems
    • Lloyd, C. J. (1998) Using smoothed receiver operating characteristic curves to summarize and compare diagnostic systems. J. Am. Statist. Ass., 93, 1356 1364.
    • (1998) J. Am. Statist. Ass. , vol.93 , pp. 1356-1364
    • Lloyd, C.J.1
  • 27
    • 0038524824 scopus 로고    scopus 로고
    • Efficient MCMC schemes for robust model extensions using encompassing Dirichlet process mixture models. in
    • (eds. F. Ruggeri. D. Rios-Insua. pp. New York: Springer.
    • MacEachern, S. N. Müller, P 2000) Efficient MCMC schemes for robust model extensions using encompassing Dirichlet process mixture models. In Robust Bayesian Analysis (eds F. Ruggeri D. Rios-Insua pp. 295 315. New York : Springer.
    • (2000) Robust Bayesian Analysis , pp. 295-315
    • MacEachern, S.N.1    Müller, P.2
  • 28
    • 0031496078 scopus 로고    scopus 로고
    • Dirichlet process mixed generalized linear models
    • Mukhopadhyay, S. Gelfand, A. E. (1997) Dirichlet process mixed generalized linear models. J. Am. Statist. Ass., 92, 633 639.
    • (1997) J. Am. Statist. Ass. , vol.92 , pp. 633-639
    • Mukhopadhyay, S.1    Gelfand, A.E.2
  • 29
    • 4043092820 scopus 로고    scopus 로고
    • Nonparametric Bayesian data analysis
    • Müller, P. Quintana, F. A. (2004) Nonparametric Bayesian data analysis. Statist. Sci., 19, 95 110.
    • (2004) Statist. Sci. , vol.19 , pp. 95-110
    • Müller, P.1    Quintana, F.A.2
  • 30
    • 77950032550 scopus 로고    scopus 로고
    • Markov chain sampling methods for Dirichlet process mixture models
    • Neal, R. M. (2000) Markov chain sampling methods for Dirichlet process mixture models. J. Computnl Graph. Statist., 9, 249 265.
    • (2000) J. Computnl Graph. Statist. , vol.9 , pp. 249-265
    • Neal, R.M.1
  • 32
    • 0000720609 scopus 로고
    • A constructive definition of the Dirichlet prior
    • Sethuraman, J. (1994) A constructive definition of the Dirichlet prior. Statist. Sin., 4, 639 650.
    • (1994) Statist. Sin. , vol.4 , pp. 639-650
    • Sethuraman, J.1
  • 34
    • 0030963967 scopus 로고    scopus 로고
    • Smooth non-parametric receiver operating characteristic (ROC) curves for continuous diagnostic tests
    • Zou, K. H., Hall, W. J. Shapiro, D. E. (1997) Smooth non-parametric receiver operating characteristic (ROC) curves for continuous diagnostic tests. Statist. Med., 16, 2143 2156.
    • (1997) Statist. Med. , vol.16 , pp. 2143-2156
    • Zou, K.H.1    Hall, W.J.2    Shapiro, D.E.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.