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Volumn 84, Issue 2, 1997, Pages 309-326

Variance component testing in generalised linear models with random effects

Author keywords

Correlated data; Generalised linear mixed model; Laplace approximation; Locally asymptotically most stringent test; Overdispersion; Score test

Indexed keywords


EID: 0000072057     PISSN: 00063444     EISSN: None     Source Type: Journal    
DOI: 10.1093/biomet/84.2.309     Document Type: Article
Times cited : (252)

References (27)
  • 1
    • 0040244764 scopus 로고
    • Locally asymptotically most stringent tests and Lagrangian multiplier tests of linear hypothesis
    • BHAT, B. R. & NAGNUR, B. N. (1965). Locally asymptotically most stringent tests and Lagrangian multiplier tests of linear hypothesis. Biometrika 53, 459-68.
    • (1965) Biometrika , vol.53 , pp. 459-468
    • Bhat, B.R.1    Nagnur, B.N.2
  • 2
    • 0011241944 scopus 로고
    • Approximate inference in generalised linear mixed models
    • BRESLOW, N. E. & CLAYTON, D. G. (1993). Approximate inference in generalised linear mixed models. J. Am. Statist. Assoc. 88, 9-25.
    • (1993) J. Am. Statist. Assoc. , vol.88 , pp. 9-25
    • Breslow, N.E.1    Clayton, D.G.2
  • 3
    • 0003020981 scopus 로고
    • Bias correction in generalised linear mixed models with a single component of dispersion
    • BRESLOW, N. E. & LIN, X. (1995). Bias correction in generalised linear mixed models with a single component of dispersion. Biometrika 82, 81-91.
    • (1995) Biometrika , vol.82 , pp. 81-91
    • Breslow, N.E.1    Lin, X.2
  • 4
    • 0027048851 scopus 로고
    • Random effects models with non-parametric priors
    • BUTLER, S. M. & Louis, T. A. (1992). Random effects models with non-parametric priors. Statist. Med. 11, 1981-2000.
    • (1992) Statist. Med. , vol.11 , pp. 1981-2000
    • Butler, S.M.1    Louis, T.A.2
  • 6
    • 0000865420 scopus 로고
    • Some remarks on overdispersion
    • COX, D. R. (1983). Some remarks on overdispersion. Biometrika 70, 269-74.
    • (1983) Biometrika , vol.70 , pp. 269-274
    • Cox, D.R.1
  • 7
    • 0040606893 scopus 로고
    • Testing for overdispersion in Poisson and binomial regression models
    • DEAN, C. (1992). Testing for overdispersion in Poisson and binomial regression models. J. Am. Statist. Assoc. 87, 451-7.
    • (1992) J. Am. Statist. Assoc. , vol.87 , pp. 451-457
    • Dean, C.1
  • 8
    • 0347951846 scopus 로고
    • Tests for detecting overdispersion in Poisson regression models
    • DEAN, C. & LAWLESS, J. F. (1989). Tests for detecting overdispersion in Poisson regression models. J. Am. Statist. Assoc. 84, 467-72.
    • (1989) J. Am. Statist. Assoc. , vol.84 , pp. 467-472
    • Dean, C.1    Lawless, J.F.2
  • 9
    • 0027338765 scopus 로고
    • REML estimation with exact covariance in the logistics mixed model
    • DRUM, M. & McCuLLAGH, P. (1993). REML estimation with exact covariance in the logistics mixed model. Biometrics 49, 677-89
    • (1993) Biometrics , vol.49 , pp. 677-689
    • Drum, M.1    McCullagh, P.2
  • 10
    • 21844519341 scopus 로고
    • Tests for variation over groups in survival data
    • GRAY, R. J. (1995). Tests for variation over groups in survival data. J. Am. Statist. Assoc. 90, 198-203.
    • (1995) J. Am. Statist. Assoc. , vol.90 , pp. 198-203
    • Gray, R.J.1
  • 11
    • 0001097805 scopus 로고
    • Nonlinear regression with variance components
    • GUMPERTZ, M. L. & PANTULA, S. G. (1992). Nonlinear regression with variance components. J. Am. Statist. Assoc. 87, 201-9.
    • (1992) J. Am. Statist. Assoc. , vol.87 , pp. 201-209
    • Gumpertz, M.L.1    Pantula, S.G.2
  • 12
    • 0014099014 scopus 로고
    • Maximum-likelihood estimation for the mixed analysis of variance model
    • HARTLEY, H. O. & RAO, J. N. K. (1967). Maximum-likelihood estimation for the mixed analysis of variance model. Biometrika 54, 93-108.
    • (1967) Biometrika , vol.54 , pp. 93-108
    • Hartley, H.O.1    Rao, J.N.K.2
  • 13
    • 21344456702 scopus 로고
    • Tests of homogeneity for generalized linear models
    • JACQMIN-GADDA, H. & COMMENCES, D. (1995). Tests of homogeneity for generalized linear models. J. Am. Statist. Assoc. 90, 1237-46.
    • (1995) J. Am. Statist. Assoc. , vol.90 , pp. 1237-1246
    • Jacqmin-Gadda, H.1    Commences, D.2
  • 14
    • 0003446320 scopus 로고
    • Distributions in Statistics, Continuous Univariate Distributions-1
    • JOHNSON, N. L. & KOTZ, S. (1970). Distributions in Statistics, Continuous Univariate Distributions-1. Boston: Houghton-Mifflin.
    • (1970) Boston: Houghton-Mifflin.
    • Johnson, N.L.1    Kotz, S.2
  • 15
    • 0000013046 scopus 로고
    • A locally most powerfully test for homogeneity with many strata
    • LIANG, K. Y. (1987). A locally most powerfully test for homogeneity with many strata. Biometrika 74, 259-64.
    • (1987) Biometrika , vol.74 , pp. 259-264
    • Liang, K.Y.1
  • 16
    • 77649173768 scopus 로고
    • Longitudinal data analysis using generalized linear models
    • LIANG, K. Y. & ZEGER, S. L. (1986). Longitudinal data analysis using generalized linear models. Biometrika 73, 13-22.
    • (1986) Biometrika , vol.73 , pp. 13-22
    • Liang, K.Y.1    Zeger, S.L.2
  • 17
    • 0030336576 scopus 로고    scopus 로고
    • Bias correction in generalized linear mixed models with multiple components of dispersion
    • LIN, X. & BRESLOW, N. E. (1996). Bias correction in generalized linear mixed models with multiple components of dispersion. J. Am. Statist. Assoc. 91, 1007-16.
    • (1996) J. Am. Statist. Assoc. , vol.91 , pp. 1007-1016
    • Lin, X.1    Breslow, N.E.2
  • 19
    • 84976156472 scopus 로고
    • Maximum likelihood estimation in non-standard conditions
    • MORAN, P. A. (1971). Maximum likelihood estimation in non-standard conditions. Proc. Camb. Phil. Soc. 70, 441-50.
    • (1971) Proc. Camb. Phil. Soc. , vol.70 , pp. 441-450
    • Moran, P.A.1
  • 20
    • 84907319426 scopus 로고
    • Asymptotic properties of maximum likelihood estimators and likelihood ratio tests under nonstandard conditions
    • SELF, S. & LIANG, K. Y. (1987). Asymptotic properties of maximum likelihood estimators and likelihood ratio tests under nonstandard conditions. J. Am. Statist. Assoc. 82, 605-10.
    • (1987) J. Am. Statist. Assoc. , vol.82 , pp. 605-610
    • Self, S.1    Liang, K.Y.2
  • 21
    • 21144463916 scopus 로고
    • Testing and adjusting for departures from nominal dispersion in generalized linear models
    • SMITH, P. J. & HEITJAN, D. F. (1993). Testing and adjusting for departures from nominal dispersion in generalized linear models. Appl. Statist. 41, 31-41
    • (1993) Appl. Statist. , vol.41 , pp. 31-41
    • Smith, P.J.1    Heitjan, D.F.2
  • 22
    • 0038320926 scopus 로고
    • Nonlinear components of variance models
    • SOLOMON, P. J. & Cox, D. R. (1992). Nonlinear components of variance models. Biometrika 79, 1-11.
    • (1992) Biometrika , vol.79 , pp. 1-11
    • Solomon, P.J.1    Cox, D.R.2
  • 23
    • 0002644952 scopus 로고
    • Maximum likelihood estimation of misspecified models
    • WHITE, H. (1982). Maximum likelihood estimation of misspecified models. Econometrica 50, 1-25.
    • (1982) Econometrica , vol.50 , pp. 1-25
    • White, H.1
  • 24
    • 0000814621 scopus 로고
    • Generalized linear model diagnostics using the deviance and single case deletions
    • WILLIAMS, D. A. (1987). Generalized linear model diagnostics using the deviance and single case deletions. Appl. Statist. 36, 181-91
    • (1987) Appl. Statist. , vol.36 , pp. 181-191
    • Williams, D.A.1
  • 25
    • 0001684437 scopus 로고
    • Laplace's approximation for nonlinear mixed models
    • WOLFINGER, R. (1993). Laplace's approximation for nonlinear mixed models. Biometrika 80, 791-5.
    • (1993) Biometrika , vol.80 , pp. 791-795
    • Wolfinger, R.1
  • 27
    • 84910906566 scopus 로고
    • Generalized linear models with random effects: A Gibbs sampling approach
    • ZEGER, S. L. & KARIM, M. R. (1991). Generalized linear models with random effects: A Gibbs sampling approach. J. Am. Statist. Assoc. 86, 79-86.
    • (1991) J. Am. Statist. Assoc. , vol.86 , pp. 79-86
    • Zeger, S.L.1    Karim, M.R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.