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Volumn 19, Issue 1, 2014, Pages 39-56

Gaussian Copula Mixed Models for Clustered Mixed Outcomes, With Application in Developmental Toxicology

Author keywords

Biserial correlation; Generalized linear mixed models; Latent variables; Logit normal Gaussian copula mixed model; Mixed binary continuous data; Robit t Gaussian copula mixed model; Tetrachoric correlation

Indexed keywords

CLUSTER ANALYSIS; CORRELATION; ETHYLENE; GAUSSIAN METHOD; MAXIMUM LIKELIHOOD ANALYSIS; MODELING; TOXICOLOGY;

EID: 84896733247     PISSN: 10857117     EISSN: 15372693     Source Type: Journal    
DOI: 10.1007/s13253-013-0155-9     Document Type: Article
Times cited : (16)

References (31)
  • 1
    • 0030947241 scopus 로고    scopus 로고
    • Bivariate Modeling of Clustered Continuous and Ordered Categorical Outcomes
    • Catalano, P. J. (1997), "Bivariate Modeling of Clustered Continuous and Ordered Categorical Outcomes," Statistics in Medicine, 16, 883-900.
    • (1997) Statistics in Medicine , vol.16 , pp. 883-900
    • Catalano, P.J.1
  • 2
    • 84950440636 scopus 로고
    • Bivariate Latent Variable Models for Clustered Discrete and Continuous Outcomes
    • Catalano, P. J., and Ryan, L. M. (1992), "Bivariate Latent Variable Models for Clustered Discrete and Continuous Outcomes," Journal of the American Statistical Association, 87, 651-658.
    • (1992) Journal of the American Statistical Association , vol.87 , pp. 651-658
    • Catalano, P.J.1    Ryan, L.M.2
  • 3
    • 84867653035 scopus 로고    scopus 로고
    • Mixed-Outcome Data
    • 3rd edn., S. C. Chow (Ed.), London: Chapman & Hall
    • de Leon, A. R., and Carrière Chough, K. (2010), "Mixed-Outcome Data," in Encyclopedia of Biopharmaceutical Statistics (3rd ed.), ed. S. C. Chow, London: Chapman & Hall, pp. 817-822.
    • (2010) Encyclopedia of Biopharmaceutical Statistics , pp. 817-822
    • de Leon, A.R.1    Chough, K.C.2
  • 4
    • 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, 175-185.
    • (2011) Statistics in Medicine , vol.30 , pp. 175-185
    • de Leon, A.R.1    Wu, B.2
  • 5
    • 85057488398 scopus 로고    scopus 로고
    • Joint Models for Continuous and Discrete Longitudinal Data
    • G. Fitzmaurice, M. Davidian, G. Verbeke, and G. Molenberghs (Eds.), London: Chapman & Hall
    • Faes, C., Geys, H., and Catalano, P. (2009), "Joint Models for Continuous and Discrete Longitudinal Data," in Longitudinal Data Analysis, eds. G. Fitzmaurice, M. Davidian, G. Verbeke, and G. Molenberghs, London: Chapman & Hall, pp. 327-348.
    • (2009) Longitudinal Data Analysis , pp. 327-348
    • Faes, C.1    Geys, H.2    Catalano, P.3
  • 7
    • 53349174434 scopus 로고    scopus 로고
    • A High-Dimensional Joint Model for Longitudinal Outcomes of Different Nature
    • Faes, C., Aerts, M., Molenberghs, G., Geys, H., Teuns, G., and Bijnens, L. (2008), "A High-Dimensional Joint Model for Longitudinal Outcomes of Different Nature," Statistics in Medicine, 27, 4408-4427.
    • (2008) Statistics in Medicine , vol.27 , pp. 4408-4427
    • Faes, C.1    Aerts, M.2    Molenberghs, G.3    Geys, H.4    Teuns, G.5    Bijnens, L.6
  • 8
    • 21844497833 scopus 로고
    • Regression Models for a Bivariate Discrete and Continuous Outcome With Clustering
    • Fitzmaurice, G. M., and Laird, N. M. (1995), "Regression Models for a Bivariate Discrete and Continuous Outcome With Clustering," Journal of the American Statistical Association, 90, 845-852.
    • (1995) Journal of the American Statistical Association , vol.90 , pp. 845-852
    • Fitzmaurice, G.M.1    Laird, N.M.2
  • 9
    • 0030898909 scopus 로고    scopus 로고
    • Regression Models for Mixed Discrete and Continuous Responses With Potentially Missing Values
    • - (1997), "Regression Models for Mixed Discrete and Continuous Responses With Potentially Missing Values," Biometrics, 53, 110-122.
    • (1997) Biometrics , vol.53 , pp. 110-122
    • Fitzmaurice, G.M.1    Laird, N.M.2
  • 10
    • 34447509150 scopus 로고    scopus 로고
    • Regression Models for Analyzing Clustered Binary and Continuous Outcomes Under an Assumption of Exchangeability
    • George, E. O., Armstrong, D., Catalano, P. J., and Srivastava, D. K. (2007), "Regression Models for Analyzing Clustered Binary and Continuous Outcomes Under an Assumption of Exchangeability," Journal of Statistical Planning and Inference, 137, 3462-3474.
    • (2007) Journal of Statistical Planning and Inference , vol.137 , pp. 3462-3474
    • George, E.O.1    Armstrong, D.2    Catalano, P.J.3    Srivastava, D.K.4
  • 12
    • 0442327764 scopus 로고    scopus 로고
    • A Correlated Probit Model for Joint Modeling of Clustered Binary and Continuous Responses
    • Gueorguieva, R. V., and Agresti, A. (2001), "A Correlated Probit Model for Joint Modeling of Clustered Binary and Continuous Responses," Journal of the American Statistical Association, 96, 1102-1112.
    • (2001) Journal of the American Statistical Association , vol.96 , pp. 1102-1112
    • Gueorguieva, R.V.1    Agresti, A.2
  • 13
    • 84863567642 scopus 로고    scopus 로고
    • A Gaussian Copula Approach for the Analysis of Secondary Phenotypes in Case-Control Genetic Association Studies
    • He, J., Li, H., Edmondson, A. C., Rader, D. J., and Li, M. (2012), "A Gaussian Copula Approach for the Analysis of Secondary Phenotypes in Case-Control Genetic Association Studies," Biostatistics, 13, 497-508.
    • (2012) Biostatistics , vol.13 , pp. 497-508
    • He, J.1    Li, H.2    Edmondson, A.C.3    Rader, D.J.4    Li, M.5
  • 14
    • 0002478338 scopus 로고    scopus 로고
    • Efficient Estimation in the Bivariate Normal Copula Model: Normal Margins Are Least Favourable
    • Klaassen, C. A. J., and Wellner, J. A. (1997), "Efficient Estimation in the Bivariate Normal Copula Model: Normal Margins Are Least Favourable," Bernoulli, 3, 55-77.
    • (1997) Bernoulli , vol.3 , pp. 55-77
    • Klaassen, C.A.J.1    Wellner, J.A.2
  • 15
    • 78649452632 scopus 로고    scopus 로고
    • Normal Correlation Coefficient of Non-Normal Variables Using Piecewise Linear Approximation
    • Kugiumtzis, D., and Bora-Senta, E. (2010), "Normal Correlation Coefficient of Non-Normal Variables Using Piecewise Linear Approximation," Computational Statistics, 25, 645-662.
    • (2010) Computational Statistics , vol.25 , pp. 645-662
    • Kugiumtzis, D.1    Bora-Senta, E.2
  • 16
    • 77949750822 scopus 로고    scopus 로고
    • Association Models for Clustered Data With Binary and Continuous Responses
    • Lin, L., Bandyopadhyay, D., Lipsitz, S. R., and Sinha, D. (2010), "Association Models for Clustered Data With Binary and Continuous Responses," Biometrics, 66, 287-293.
    • (2010) Biometrics , vol.66 , pp. 287-293
    • Lin, L.1    Bandyopadhyay, D.2    Lipsitz, S.R.3    Sinha, D.4
  • 17
    • 0027995405 scopus 로고
    • Jackknife Estimators of Variance for Parameter Estimates From Estimating Equations With Applications to Clustered Survival Data
    • Lipsitz, S. R., Dear, K. B. G., and Zhao, L. (1994), "Jackknife Estimators of Variance for Parameter Estimates From Estimating Equations With Applications to Clustered Survival Data," Biometrics, 50, 842-846.
    • (1994) Biometrics , vol.50 , pp. 842-846
    • Lipsitz, S.R.1    Dear, K.B.G.2    Zhao, L.3
  • 18
    • 84987750231 scopus 로고    scopus 로고
    • Robit Regression: A Simple Robust Alternative to Logistic and Probit Regression
    • A. Gelman and X.-L. Meng (Eds.), New York: Wiley
    • Liu, C. (2004), "Robit Regression: A Simple Robust Alternative to Logistic and Probit Regression," in Applied Bayesian Modeling and Causal Inference From Incomplete Data Perspectives, eds. A. Gelman and X.-L. Meng, New York: Wiley, pp. 227-238.
    • (2004) Applied Bayesian Modeling and Causal Inference From Incomplete Data Perspectives , pp. 227-238
    • Liu, C.1
  • 20
    • 40549119540 scopus 로고    scopus 로고
    • Joint Modeling of Mixed Outcome Types Using Latent Variables
    • McCulloch, C. (2008), "Joint Modeling of Mixed Outcome Types Using Latent Variables," Statistical Methods in Medical Research, 17, 53-73.
    • (2008) Statistical Methods in Medical Research , vol.17 , pp. 53-73
    • McCulloch, C.1
  • 21
    • 68849132140 scopus 로고    scopus 로고
    • A Novel Application of a Bivariate Regression Model for Binary and Continuous Outcomes to Studies of Fetal Toxicity
    • Najita, J. S., Li, Y., and Catalano, P. J. (2009), "A Novel Application of a Bivariate Regression Model for Binary and Continuous Outcomes to Studies of Fetal Toxicity," Journal of the Royal Statistical Society, Series C, 58, 3023-3038.
    • (2009) Journal of the Royal Statistical Society, Series C , vol.58 , pp. 3023-3038
    • Najita, J.S.1    Li, Y.2    Catalano, P.J.3
  • 24
    • 0032887429 scopus 로고    scopus 로고
    • Likelihood Models for Clustered Binary and Continuous Outcomes: Application to Developmental Toxicology
    • Regan, M. M., and Catalano, P. J. (1999a), "Likelihood Models for Clustered Binary and Continuous Outcomes: Application to Developmental Toxicology," Biometrics, 55, 760-768.
    • (1999) Biometrics , vol.55 , pp. 760-768
    • Regan, M.M.1    Catalano, P.J.2
  • 26
    • 84892334044 scopus 로고    scopus 로고
    • Combined Continuous and Discrete Outcomes
    • M. Aerts, H. Geys, G. Molenberghs, and L. Ryan (Eds.), London: Chapman & Hall/CRC
    • - (2002), "Combined Continuous and Discrete Outcomes," in Topics in Modeling of Clustered Data, eds. M. Aerts, H. Geys, G. Molenberghs, and L. Ryan, London: Chapman & Hall/CRC, pp. 233-261.
    • (2002) Topics in Modeling of Clustered Data , pp. 233-261
    • Regan, M.M.1    Catalano, P.J.2
  • 27
    • 84896699617 scopus 로고    scopus 로고
    • Issues in Modeling Clustered Data
    • M. Aerts, H. Geys, G. Molenberghs, and L. Ryan (Eds.), London: Chapman & Hall/CRC
    • Ryan, L. M. (2002), "Issues in Modeling Clustered Data," in Topics in Modeling of Clustered Data, eds. M. Aerts, H. Geys, G. Molenberghs, and L. Ryan, London: Chapman & Hall/CRC, pp. 37-45.
    • (2002) Topics in Modeling of Clustered Data , pp. 37-45
    • Ryan, L.M.1
  • 29
    • 36249013251 scopus 로고    scopus 로고
    • Maximum Likelihood Inference in Robust Linear Mixed-Effects Models Using Multivariate t Distributions
    • Song, P. X.-K., Zhang, P., and Qu, A. (2007), "Maximum Likelihood Inference in Robust Linear Mixed-Effects Models Using Multivariate t Distributions," Statistica Sinica, 17, 929-943.
    • (2007) Statistica Sinica , vol.17 , pp. 929-943
    • Song, P.X.-K.1    Zhang, P.2    Qu, A.3
  • 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
  • 31
    • 69949094369 scopus 로고    scopus 로고
    • Correlated Bivariate Continuous and Binary Outcomes: Issues and Applications
    • Teixeira-Pinto, A., and Normand, S.-L. T. (2009), "Correlated Bivariate Continuous and Binary Outcomes: Issues and Applications," Statistics in Medicine, 28, 1753-1773.
    • (2009) Statistics in Medicine , vol.28 , pp. 1753-1773
    • Teixeira-Pinto, A.1    Normand, S.-L.T.2


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