메뉴 건너뛰기




Volumn 17, Issue 1, 2012, Pages 107-127

Using Copulas to Introduce Dependence in Dose-Response Modeling of Multiple Binary Endpoints

Author keywords

Dependent binary response; Dependent tumor response; Multivariate normal distribution; Physiologically based pharmacokinetic model; Quantitative risk assessment

Indexed keywords

BIOASSAY; CANCER; CARCINOGEN; MODELING; MULTIVARIATE ANALYSIS; PHYSIOLOGICAL RESPONSE; QUANTITATIVE ANALYSIS; RISK ASSESSMENT; TUMOR;

EID: 84858745388     PISSN: 10857117     EISSN: 15372693     Source Type: Journal    
DOI: 10.1007/s13253-011-0078-2     Document Type: Article
Times cited : (2)

References (36)
  • 1
    • 0023677290 scopus 로고
    • Effects of Treatment-Induced Mortality and Tumor-Induced Mortality on Tests for Carcinogenicity in Small Samples
    • Bailer, A. J., and Portier, C. J. (1988), "Effects of Treatment-Induced Mortality and Tumor-Induced Mortality on Tests for Carcinogenicity in Small Samples," Biometrics, 44, 417-431.
    • (1988) Biometrics , vol.44 , pp. 417-431
    • Bailer, A.J.1    Portier, C.J.2
  • 3
    • 0032656018 scopus 로고    scopus 로고
    • Correlations and Copulas for Decision and Risk Analysis
    • Clemen, R. T., and Reilly, T. (1999), "Correlations and Copulas for Decision and Risk Analysis," Management Science, 45 (2), 208-224.
    • (1999) Management Science , vol.45 , Issue.2 , pp. 208-224
    • Clemen, R.T.1    Reilly, T.2
  • 4
    • 84864350818 scopus 로고    scopus 로고
    • (Accessed: 14 March 2011)
    • Clerc, M. (2011), "Standard PSO 2007. (SPSO-07)," url: http://www. particleswarm. info/standard_pso_2007. c) (Accessed: 14 March 2011).
    • (2011) Standard PSO 2007. (SPSO-07)
    • Clerc, M.1
  • 5
    • 70350029060 scopus 로고    scopus 로고
    • Characterizing Uncertainty and Population Variability in the Toxicokinetics of Trichloroethylene and Metabolites in Mice, Rats, and Humans Using an Updated Database, Physiologically Based Pharmacokinetic (PBPK) Model, and Bayesian Approach
    • Chiu, W., Okino, M., and Evans, M. (2009), "Characterizing Uncertainty and Population Variability in the Toxicokinetics of Trichloroethylene and Metabolites in Mice, Rats, and Humans Using an Updated Database, Physiologically Based Pharmacokinetic (PBPK) Model, and Bayesian Approach," Toxicology and Applied Pharmacology, 241 (1), 36-60.
    • (2009) Toxicology and Applied Pharmacology , vol.241 , Issue.1 , pp. 36-60
    • Chiu, W.1    Okino, M.2    Evans, M.3
  • 6
    • 0021672854 scopus 로고
    • An Improved Procedure for Low-Dose Carcinogenic Risk Assessment From Animal Data
    • Crump, K. S. (1984), "An Improved Procedure for Low-Dose Carcinogenic Risk Assessment From Animal Data," Journal of Environmental Pathology & Toxicology, 5 (4-5), 339-348.
    • (1984) Journal of Environmental Pathology & Toxicology , vol.5 , Issue.4-5 , pp. 339-348
    • Crump, K.S.1
  • 7
    • 1842768455 scopus 로고    scopus 로고
    • Benchmark Analysis
    • A. H. El-Shaarawi and W. W. Piegorsch (Eds.), Chichester: Wiley
    • - (2002), "Benchmark Analysis," in Encyclopedia of Environmetrics, Vol. 1, eds. A. H. El-Shaarawi and W. W. Piegorsch, Chichester: Wiley, pp. 163-170.
    • (2002) Encyclopedia of Environmetrics , vol.1 , pp. 163-170
    • Crump, K.S.1
  • 8
    • 0022102297 scopus 로고
    • Improved Confidence Limits for Low-Dose Carcinogenic Risk Assessment From Animal Data
    • Crump, K. S., and Crockett, P. W. (1985), "Improved Confidence Limits for Low-Dose Carcinogenic Risk Assessment From Animal Data," Hazards Materials, 10, 419-431.
    • (1985) Hazards Materials , vol.10 , pp. 419-431
    • Crump, K.S.1    Crockett, P.W.2
  • 9
    • 0000672348 scopus 로고
    • A Review of Methods for Calculating Statistical Confidence Limits in Low Dose Extrapolation
    • D. B. Clayson, D. Krewski, and I. Munro (Eds.), Boca Raton: CRC Press
    • Crump, K. S., and Howe, R. B. (1985), "A Review of Methods for Calculating Statistical Confidence Limits in Low Dose Extrapolation," in Toxicological Risk Assessment Vol. 1: Biological and Statistical Criteria, eds. D. B. Clayson, D. Krewski, and I. Munro, Boca Raton: CRC Press, pp. 187-203.
    • (1985) Toxicological Risk Assessment Vol. 1: Biological and Statistical Criteria , pp. 187-203
    • Crump, K.S.1    Howe, R.B.2
  • 10
    • 78650797710 scopus 로고    scopus 로고
    • Copula-Based Regression Models for a Bivariate Mixed Discrete and Continuous Outcome
    • de Leon, A. R., and Wu, B. (2011), "Copula-Based Regression Models for a Bivariate Mixed Discrete and Continuous Outcome," Statistics in Medicine, 30 (2), 175-185.
    • (2011) Statistics in Medicine , vol.30 , Issue.2 , pp. 175-185
    • de Leon, A.R.1    Wu, B.2
  • 11
    • 63649098483 scopus 로고    scopus 로고
    • Development of an Updated PBPK Model for Trichloroethylene and Metabolites in Mice, and Its Application to Discern the Role of Oxidative Metabolism in TCE-Induced Hepatomegaly
    • Evans, M., Chiu, W. A., Okino, M., and Caldwell, J. (2009), "Development of an Updated PBPK Model for Trichloroethylene and Metabolites in Mice, and Its Application to Discern the Role of Oxidative Metabolism in TCE-Induced Hepatomegaly," Toxicology and Applied Pharmacology, 236 (3), 329-340.
    • (2009) Toxicology and Applied Pharmacology , vol.236 , Issue.3 , pp. 329-340
    • Evans, M.1    Chiu, W.A.2    Okino, M.3    Caldwell, J.4
  • 12
    • 84953078660 scopus 로고
    • The Joy of Copulas: Bivariate Distributions With Uniform Marginals
    • Genest, C. J., and MacKay, J. (1986), "The Joy of Copulas: Bivariate Distributions With Uniform Marginals," The American Statistician, 40, 280-283.
    • (1986) The American Statistician , vol.40 , pp. 280-283
    • Genest, C.J.1    Mackay, J.2
  • 13
    • 0001341675 scopus 로고
    • Numerical Computation of Multivariate Normal Probabilities
    • Genz, A. (1992), "Numerical Computation of Multivariate Normal Probabilities," Journal of Computational and Graphical Statistics, 1, 141-149.
    • (1992) Journal of Computational and Graphical Statistics , vol.1 , pp. 141-149
    • Genz, A.1
  • 14
    • 33746653986 scopus 로고    scopus 로고
    • In the Core of Correlation
    • Gregory, J. K., and Laurent, J. P. (2004), "In the Core of Correlation," Risk, 17 (10), 87-91.
    • (2004) Risk , vol.17 , Issue.10 , pp. 87-91
    • Gregory, J.K.1    Laurent, J.P.2
  • 15
    • 0031080577 scopus 로고    scopus 로고
    • Generalization of Independent Response Model for Toxic Mixtures
    • Haas, C. N., Kersten, S. P., Wright, K., Frank, M. J., and Cidambi, K. (1997), "Generalization of Independent Response Model for Toxic Mixtures," Chemosphere, 34 (4), 699-710.
    • (1997) Chemosphere , vol.34 , Issue.4 , pp. 699-710
    • Haas, C.N.1    Kersten, S.P.2    Wright, K.3    Frank, M.J.4    Cidambi, K.5
  • 17
    • 36048957862 scopus 로고    scopus 로고
    • Towards Quantitative Uncertainty Assessment for Cancer Risks: Central Estimates and Probability Distributions of Risk in Dose-Response Modeling
    • Kopylev, L., Chen, C., and White, P. (2007), "Towards Quantitative Uncertainty Assessment for Cancer Risks: Central Estimates and Probability Distributions of Risk in Dose-Response Modeling," Regulatory Toxicology and Pharmacology, 49, 203-207.
    • (2007) Regulatory Toxicology and Pharmacology , vol.49 , pp. 203-207
    • Kopylev, L.1    Chen, C.2    White, P.3
  • 19
    • 0037110521 scopus 로고    scopus 로고
    • A Copula-Based Model for Multivariate Non-normal Longitudinal Data: Analysis of a Dose Titration Safety Study on a New Antidepressant
    • Lambert, P., and Vandenhende, F. (2002), "A Copula-Based Model for Multivariate Non-normal Longitudinal Data: Analysis of a Dose Titration Safety Study on a New Antidepressant," Statistics in Medicine, 21, 3197-3217.
    • (2002) Statistics in Medicine , vol.21 , pp. 3197-3217
    • Lambert, P.1    Vandenhende, F.2
  • 20
    • 78650642584 scopus 로고    scopus 로고
    • Two-Dimensional Toxic Dose and Multivariate Logistic Regression, With Application to Decompression Sickness
    • Li, J., and Wong, W. K. (2011), "Two-Dimensional Toxic Dose and Multivariate Logistic Regression, With Application to Decompression Sickness," Biostatistics, 12, 143-155.
    • (2011) Biostatistics , vol.12 , pp. 143-155
    • Li, J.1    Wong, W.K.2
  • 21
    • 80052804095 scopus 로고    scopus 로고
    • Joint Regression Analysis for Discrete Longitudinal Data
    • doi:10.1111/j.1541-0420.2010.01494.x
    • Madsen, L., and Fang, Y. (2011), "Joint Regression Analysis for Discrete Longitudinal Data," Biometrics. doi: 10. 1111/j. 1541-0420. 2010. 01494. x.
    • (2011) Biometrics
    • Madsen, L.1    Fang, Y.2
  • 22
    • 84954932200 scopus 로고
    • Teaching About Approximate Confidence Regions Based on Maximum Likelihood Estimation
    • Meeker, W. Q., and Escobar, L. A. (1995), "Teaching About Approximate Confidence Regions Based on Maximum Likelihood Estimation," The American Statistician, 49, 48-53.
    • (1995) The American Statistician , vol.49 , pp. 48-53
    • Meeker, W.Q.1    Escobar, L.A.2
  • 23
    • 0004158548 scopus 로고
    • National Research Councilpp. 515-536, Washington: National Academies Press
    • National Research Council (1994), Science and Judgment in Risk Assessment, Washington: National Academies Press, pp. 515-536.
    • (1994) Science and Judgment in Risk Assessment
  • 24
    • 0004328487 scopus 로고
    • Division of Cancer Cause and Prevention, National Cancer Institute, U. S. Department of Health, Education, and Welfare, DHEW Publication No. (NIH) 76-802, Technical Report Series No. 2, NCI-CG-TR-2, NTIS PB254122. Data obtained at (Accessed: March 24, 2010)
    • National Cancer Institute (1976), "Carcinogenesis Bioassay of Trichloroethylene," Division of Cancer Cause and Prevention, National Cancer Institute, U. S. Department of Health, Education, and Welfare, DHEW Publication No. (NIH) 76-802, Technical Report Series No. 2, NCI-CG-TR-2, NTIS PB254122. Data obtained at http://ntp-apps.niehs.nih.gov/ntp_tox/index. cfm?fuseaction=ntpsearch.allchemicalsforstudy&searchterm=Bioassay (Accessed: March 24, 2010).
    • (1976) Carcinogenesis Bioassay of Trichloroethylene
  • 25
    • 70350515503 scopus 로고    scopus 로고
    • National Toxicology Program, NTP TR 499, NIH Publication No. 01-4433, U. S. Department of Health and Human Services, Public Health Service, National Institutes of Health. Data obtained at: (Accessed: April 12, 2010)
    • National Toxicology Program (2001), "Toxicology and Carcinogenesis Studies of Indium Phosphide (CAS No. 22398-80-7) in F344/N Rats and B6C3F1 Mice (Inhalation Studies)," NTP TR 499, NIH Publication No. 01-4433, U. S. Department of Health and Human Services, Public Health Service, National Institutes of Health. Data obtained at: http://ntp-apps.niehs.nih.gov/ntp_tox/index.cfm?fuseaction=ntpsearch.allchemicalsforstudy&searchterm=Bioassay (Accessed: April 12, 2010).
    • (2001) Toxicology and Carcinogenesis Studies of Indium Phosphide (CAS No. 22398-80-7) in F344/N Rats and B6C3F1 Mice (Inhalation Studies)
  • 28
    • 77957177350 scopus 로고
    • Testing for Increased Carcinogenicity Using a Survival-Adjusted Quantal Response Test
    • Portier, C. J., and Bailer, A. J. (1989), "Testing for Increased Carcinogenicity Using a Survival-Adjusted Quantal Response Test," Fundamental and Applied Toxicology, 12, 731-737.
    • (1989) Fundamental and Applied Toxicology , vol.12 , pp. 731-737
    • Portier, C.J.1    Bailer, A.J.2
  • 30
    • 62749159754 scopus 로고    scopus 로고
    • Joint Regression Analysis of Correlated Data Using Gaussian Copulas
    • Song, P. X. K., Li, M., and Yuan, Y. (2009), "Joint Regression Analysis of Correlated Data Using Gaussian Copulas," Biometrics, 65, 60-68.
    • (2009) Biometrics , vol.65 , pp. 60-68
    • Song, P.X.K.1    Li, M.2    Yuan, Y.3
  • 32
    • 0344513577 scopus 로고    scopus 로고
    • U.S. Environmental Protection Agency, Washington: National Center for Environmental Assessment-Washington Office of Research and Development
    • U. S. Environmental Protection Agency (2002), Health Assessment of 1, 3-Butadiene, Washington: National Center for Environmental Assessment-Washington Office of Research and Development.
    • (2002) Health Assessment of 1,3-Butadiene
  • 34
    • 30344443429 scopus 로고    scopus 로고
    • U. S. Environmental Protection Agency, Washington: Risk Assessment Forum, U. S. Environmental Protection Agency, EPA/630/P-03/001F
    • - (2005), Guidelines for Carcinogen Risk Assessment. Washington: Risk Assessment Forum, U. S. Environmental Protection Agency, EPA/630/P-03/001F.
    • (2005) Guidelines for Carcinogen Risk Assessment
  • 36
    • 0023868890 scopus 로고
    • A Method for Computing Profile-Likelihood-Based Confidence Intervals
    • Venzon, D., and Moolgavkar, S. (1988), "A Method for Computing Profile-Likelihood-Based Confidence Intervals," Applied Statistics, 37, 87-94.
    • (1988) Applied Statistics , vol.37 , pp. 87-94
    • Venzon, D.1    Moolgavkar, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.