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Volumn 35, Issue 6, 2007, Pages 2795-2814

Estimation of the covariance matrix of random effects in longitudinal studies

Author keywords

Random effects; Restricted maximum likelihood estimation; Varying coefficient models; Within cluster correlation structure

Indexed keywords


EID: 50849130235     PISSN: 00905364     EISSN: None     Source Type: Journal    
DOI: 10.1214/009053607000000523     Document Type: Article
Times cited : (37)

References (32)
  • 1
    • 2242444502 scopus 로고    scopus 로고
    • Efficient estimation and inferences for varying-coefficient models
    • MR1804446
    • CAI, Z., FAN, J. and LI, R. (2000). Efficient estimation and inferences for varying-coefficient models. J. Amer. Statist. Assoc. 95 888-902. MR1804446
    • (2000) J. Amer. Statist. Assoc , vol.95 , pp. 888-902
    • CAI, Z.1    FAN, J.2    LI, R.3
  • 3
    • 0000397478 scopus 로고    scopus 로고
    • Generalized score test of homogeneity based on correlated random effects models
    • MR1436561
    • COMMENGES, D. and JACQMIN-GADDA, H. (1997). Generalized score test of homogeneity based on correlated random effects models. J. Roy. Statist. Soc. Ser. B 59 157-171. MR1436561
    • (1997) J. Roy. Statist. Soc. Ser. B , vol.59 , pp. 157-171
    • COMMENGES, D.1    JACQMIN-GADDA, H.2
  • 4
    • 0000336139 scopus 로고
    • Regression models and life tables (with discussion)
    • MR0341758
    • COX, D. R. (1972). Regression models and life tables (with discussion). J. Roy. Statist. Soc. Ser. B 34 187-220. MR0341758
    • (1972) J. Roy. Statist. Soc. Ser. B , vol.34 , pp. 187-220
    • COX, D.R.1
  • 5
    • 50849122437 scopus 로고    scopus 로고
    • DIGGLE, P. J.. HEAGERTY, P., LIANG, K.-Y. and ZEGER, S. L. (2002). Analysis of Longitudinal Data, 2nd ed. Oxford Univ. Press. MR2049007
    • DIGGLE, P. J.. HEAGERTY, P., LIANG, K.-Y. and ZEGER, S. L. (2002). Analysis of Longitudinal Data, 2nd ed. Oxford Univ. Press. MR2049007
  • 6
    • 84950438876 scopus 로고
    • Censored regression: Local linear approximations and their applications
    • MR1294083
    • FAN, J. and GIJBELS, I. (1994). Censored regression: Local linear approximations and their applications. J. Amer. Statist. Assoc. 89 560-570. MR1294083
    • (1994) J. Amer. Statist. Assoc , vol.89 , pp. 560-570
    • FAN, J.1    GIJBELS, I.2
  • 7
    • 34250768880 scopus 로고    scopus 로고
    • Analysis of longitudinal data with semiparametric estimation of covariance function
    • FAN, J., HUANG, T. and LI, R. (2007). Analysis of longitudinal data with semiparametric estimation of covariance function. J. Amer. Statist. Assoc. 102 632-641.
    • (2007) J. Amer. Statist. Assoc , vol.102 , pp. 632-641
    • FAN, J.1    HUANG, T.2    LI, R.3
  • 8
    • 4944267519 scopus 로고    scopus 로고
    • New estimation and model selection procedures for semiparametric modeling in longitudinal data analysis
    • MR2090905
    • FAN, J. and LI, R. (2004). New estimation and model selection procedures for semiparametric modeling in longitudinal data analysis. J. Amer. Statist. Assoc. 99 710-723. MR2090905
    • (2004) J. Amer. Statist. Assoc , vol.99 , pp. 710-723
    • FAN, J.1    LI, R.2
  • 10
    • 0034355052 scopus 로고    scopus 로고
    • Two-step estimation of functional linear models with applications to longitudinal data
    • MR1749541
    • FAN, J. and ZHANG, J.-T. (2000). Two-step estimation of functional linear models with applications to longitudinal data. J. R. Stat. Soc. Ser. B Stat. Methodol. 62 303-322. MR1749541
    • (2000) J. R. Stat. Soc. Ser. B Stat. Methodol , vol.62 , pp. 303-322
    • FAN, J.1    ZHANG, J.-T.2
  • 11
    • 0033233728 scopus 로고    scopus 로고
    • Statistical estimation in varying coefficient models
    • MR1742497
    • FAN, J. and ZHANG, W. (1999). Statistical estimation in varying coefficient models. Ann. Statist. 27 1491-1518. MR1742497
    • (1999) Ann. Statist , vol.27 , pp. 1491-1518
    • FAN, J.1    ZHANG, W.2
  • 12
    • 0001257006 scopus 로고
    • Varying-coefficient models (with discussion)
    • MR1229881
    • HASTIE, T. J. and TIBSHIRANI, R. J. (1993). Varying-coefficient models (with discussion). J. Roy. Statist. Soc. Ser. B 55 757-796. MR1229881
    • (1993) J. Roy. Statist. Soc. Ser. B , vol.55 , pp. 757-796
    • HASTIE, T.J.1    TIBSHIRANI, R.J.2
  • 13
    • 29144468067 scopus 로고    scopus 로고
    • Robust estimation in generalized partial linear models for clustered data
    • MR2236433
    • HE, X., FUNG, W. K. and ZHU, Z. Y. (2005). Robust estimation in generalized partial linear models for clustered data. J. Amer. Statist. Assoc. 100 1176-1184. MR2236433
    • (2005) J. Amer. Statist. Assoc , vol.100 , pp. 1176-1184
    • HE, X.1    FUNG, W.K.2    ZHU, Z.Y.3
  • 14
    • 0028650772 scopus 로고
    • A random-effects ordinal regression model for multilevel analysis
    • HEDEKER, D. and GIBBONS, R. (1994). A random-effects ordinal regression model for multilevel analysis. Biometrics 50 933-944.
    • (1994) Biometrics , vol.50 , pp. 933-944
    • HEDEKER, D.1    GIBBONS, R.2
  • 15
    • 33746302303 scopus 로고    scopus 로고
    • Nonparametric smoothing estimates of time-varying coefficient models with longitudinal data
    • MR1666699
    • HOOVER, D. R., RICE, J. A., WU, C. O. and YANG, L.-P. (1998). Nonparametric smoothing estimates of time-varying coefficient models with longitudinal data. Biometrika 85 809-822. MR1666699
    • (1998) Biometrika , vol.85 , pp. 809-822
    • HOOVER, D.R.1    RICE, J.A.2    WU, C.O.3    YANG, L.-P.4
  • 16
    • 50849145267 scopus 로고    scopus 로고
    • JACOBY, S. L. S., KOWALIK, J. S. and PIZZO, J. T. (1972). Iterative Methods for Nonlinear Optimization Problems. Prentice Hall, Englewood Cliffs, NJ. MR0339435
    • JACOBY, S. L. S., KOWALIK, J. S. and PIZZO, J. T. (1972). Iterative Methods for Nonlinear Optimization Problems. Prentice Hall, Englewood Cliffs, NJ. MR0339435
  • 17
    • 0022966316 scopus 로고
    • Unbalanced repeated-measures models with structured covariance matrices
    • MR0872961
    • JENNRICH, R. I. and SCHLUCHTER, M. D. (1986). Unbalanced repeated-measures models with structured covariance matrices. Biometrics 42 805-820. MR0872961
    • (1986) Biometrics , vol.42 , pp. 805-820
    • JENNRICH, R.I.1    SCHLUCHTER, M.D.2
  • 18
    • 0020333131 scopus 로고
    • Random-effects models for longitudinal data
    • LAIRD, N. M. and WARE, J. H. (1982). Random-effects models for longitudinal data. Biometrics 38 963-974.
    • (1982) Biometrics , vol.38 , pp. 963-974
    • LAIRD, N.M.1    WARE, J.H.2
  • 19
    • 1542427460 scopus 로고    scopus 로고
    • Nonparametric function estimation for clustered data when the predictor is measured without/with error
    • MR1803170
    • LIN, X. and CARROLL, R. J. (2000). Nonparametric function estimation for clustered data when the predictor is measured without/with error. J. Amer. Statist. Assoc. 95 520-534. MR1803170
    • (2000) J. Amer. Statist. Assoc , vol.95 , pp. 520-534
    • LIN, X.1    CARROLL, R.J.2
  • 20
    • 0025170004 scopus 로고
    • Nonlinear mixed effects models for repeated measures data
    • MR1085815
    • LINDSTROM, M. J. and BATES, D. M. (1990). Nonlinear mixed effects models for repeated measures data. Biometrics 46 673-687. MR1085815
    • (1990) Biometrics , vol.46 , pp. 673-687
    • LINDSTROM, M.J.1    BATES, D.M.2
  • 21
    • 77956887650 scopus 로고
    • A fast scoring algorithm for maximum likelihood estimation in unbalanced mixed models with nested random effects
    • MR0919850
    • LONGFORD, N. T. (1987). A fast scoring algorithm for maximum likelihood estimation in unbalanced mixed models with nested random effects. Biometrika 74 817-827. MR0919850
    • (1987) Biometrika , vol.74 , pp. 817-827
    • LONGFORD, N.T.1
  • 22
    • 0001194690 scopus 로고
    • Weak and strong uniform consistency of kernel regression estimates
    • MR0679685
    • MACK, Y. P. and SILVERMAN, B. W. (1982). Weak and strong uniform consistency of kernel regression estimates. Z. Wahrsch. Verw. Gebiete 61 405-415. MR0679685
    • (1982) Z. Wahrsch. Verw. Gebiete , vol.61 , pp. 405-415
    • MACK, Y.P.1    SILVERMAN, B.W.2
  • 23
    • 50849111499 scopus 로고    scopus 로고
    • MITRA, S. N., AL-SABIR, A., CROSS, A. R. and JAMIL, K. (1997). Bangladesh Demographic and Health Survey 1996-1997. National Institute of Population Research and Training (NIPORT), Mitra and Associates, Dhaka, Bangladesh and DHS Macro International, Inc., Calverton, MD.
    • MITRA, S. N., AL-SABIR, A., CROSS, A. R. and JAMIL, K. (1997). Bangladesh Demographic and Health Survey 1996-1997. National Institute of Population Research and Training (NIPORT), Mitra and Associates, Dhaka, Bangladesh and DHS Macro International, Inc., Calverton, MD.
  • 24
    • 33745271377 scopus 로고    scopus 로고
    • Quadratic inference functions for varying-coefficient models with longitudinal data
    • MR2227487
    • QU, A. and LI, R. (2006). Quadratic inference functions for varying-coefficient models with longitudinal data. Biometrics 62 379-391. MR2227487
    • (2006) Biometrics , vol.62 , pp. 379-391
    • QU, A.1    LI, R.2
  • 25
    • 3543029715 scopus 로고    scopus 로고
    • Marginal nonparametric kernel regression accounting for within-subject correlation
    • MR1966549
    • WANG, N. (2003). Marginal nonparametric kernel regression accounting for within-subject correlation. Biometrika 90 43-52. MR1966549
    • (2003) Biometrika , vol.90 , pp. 43-52
    • WANG, N.1
  • 26
    • 0035998825 scopus 로고    scopus 로고
    • Marginal longitudinal nonparametric regression: Locality and efficiency of spline and kernel methods
    • MR1941465
    • WELSH, A. H., LIN, X. and CARROLL, R. J. (2002). Marginal longitudinal nonparametric regression: Locality and efficiency of spline and kernel methods. J. Amer. Statist. Assoc. 97 482-493. MR1941465
    • (2002) J. Amer. Statist. Assoc , vol.97 , pp. 482-493
    • WELSH, A.H.1    LIN, X.2    CARROLL, R.J.3
  • 27
    • 1542267823 scopus 로고    scopus 로고
    • Backfitting random varying-coefficient models with timedependent smoothing covariates
    • MR2042595
    • WU, H. and LIANG, H. (2004). Backfitting random varying-coefficient models with timedependent smoothing covariates. Scand. J. Statist. 31 3-19. MR2042595
    • (2004) Scand. J. Statist , vol.31 , pp. 3-19
    • WU, H.1    LIANG, H.2
  • 28
    • 0036745523 scopus 로고    scopus 로고
    • Local polynomial mixed-effects models for longitudinal data
    • MR1941417
    • WU, H. and ZHANG, J.-T. (2002). Local polynomial mixed-effects models for longitudinal data. J. Amer. Statist. Assoc. 97 883-897. MR1941417
    • (2002) J. Amer. Statist. Assoc , vol.97 , pp. 883-897
    • WU, H.1    ZHANG, J.-T.2
  • 29
    • 0033440214 scopus 로고    scopus 로고
    • On the estimation and testing of functional-coefficient linear models
    • MR1711643
    • XIA, Y. and LI, W. K. (1999). On the estimation and testing of functional-coefficient linear models. Statist. Sinica 9 735-757. MR1711643
    • (1999) Statist. Sinica , vol.9 , pp. 735-757
    • XIA, Y.1    LI, W.K.2
  • 30
    • 0028153316 scopus 로고
    • Semiparametric models for longitudinal data with application to CD4 cell numbers in HIV seroconverters
    • ZEGER, S. L. and DIGGLE, P. J. (1994). Semiparametric models for longitudinal data with application to CD4 cell numbers in HIV seroconverters. Biometrics 50 689-699.
    • (1994) Biometrics , vol.50 , pp. 689-699
    • ZEGER, S.L.1    DIGGLE, P.J.2
  • 31
    • 0024205301 scopus 로고
    • Models for longitudinal data: A generalized estimating equation approach
    • MR0980999
    • ZEGER, S. L., LIANG, K.-Y. and ALBERT, P. S. (1988). Models for longitudinal data: A generalized estimating equation approach. Biometrics 44 1049-1060. MR0980999
    • (1988) Biometrics , vol.44 , pp. 1049-1060
    • ZEGER, S.L.1    LIANG, K.-Y.2    ALBERT, P.S.3
  • 32
    • 0036331423 scopus 로고    scopus 로고
    • Local polynomial fitting in semivarying coefficient model
    • MR1918619
    • ZHANG, W., LEE, S.-Y. and SONG, X. Y. (2002). Local polynomial fitting in semivarying coefficient model. J. Multivariate Anal. 82 166-188. MR1918619
    • (2002) J. Multivariate Anal , vol.82 , pp. 166-188
    • ZHANG, W.1    LEE, S.-Y.2    SONG, X.Y.3


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