© 1986 by Biometrika Trust
Longitudinal data analysis using generalized linear models
Department of Biostatistics, Johns Hopkins University Baltimore, Maryland 21205, U.S.A.
This paper proposes an extension of generalized linear models to the analysis of longitudinal data. We introduce a class of estimating equations that give consistent estimates of the regression parameters and of their variance under mild assumptions about the time dependence. The estimating equations are derived without specifying the joint distribution of a subject's observations yet they reduce to the score equations for niultivariate Gaussian outcomes. Asymptotic theory is presented for the general class of estimators. Specific cases in which we assume independence, m-dependence and exchangeable correlation structures from each subject are discussed. Efficiency of the pioposecl estimators in two simple situations is considered. The approach is closely related to quasi-likelihood.
Key Words: Estimating equation • Generalized linear model • Longitudinal data • Quasi-likelihood • Repeated measures
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L. Nekhlyudov, L. A. Habel, N. S. Achacoso, I. Jung, R. Haque, L. C. Collins, S. J. Schnitt, C. P. Quesenberry Jr, and S. W. Fletcher Adherence to Long-Term Surveillance Mammography Among Women With Ductal Carcinoma In Situ Treated With Breast-Conserving Surgery J. Clin. Oncol., July 1, 2009; 27(19): 3211 - 3216. [Abstract] [Full Text] [PDF]
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P. R. Bakic, A.-K. Carton, D. Kontos, C. Zhang, A. B. Troxel, and A. D. A. Maidment Breast Percent Density: Estimation on Digital Mammograms and Central Tomosynthesis Projections1 Radiology, July 1, 2009; 252(1): 40 - 49. [Abstract] [Full Text] [PDF]
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J. Hu and F. Hu Estimating equation-based causality analysis with application to microarray time series data Biostat., July 1, 2009; 10(3): 468 - 480. [Abstract] [Full Text] [PDF]
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D. H. Y. Leung, Y.-G. Wang, and M. Zhu Efficient parameter estimation in longitudinal data analysis using a hybrid GEE method Biostat., July 1, 2009; 10(3): 436 - 445. [Abstract] [Full Text] [PDF]
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 S J Isenberg, E Sanchez, and K C Zafran The effect of masking manuscripts for the peer-review process of an ophthalmic journal Br J Ophthalmol, July 1, 2009; 93(7): 881 - 884. [Abstract] [Full Text] [PDF]
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S. M. O'Brien, D. M. Shahian, G. Filardo, V. A. Ferraris, C. K. Haan, J. B. Rich, S.-L. T. Normand, E. R. DeLong, C. M. Shewan, R. S. Dokholyan, et al. The Society of Thoracic Surgeons 2008 cardiac surgery risk models: part 2--isolated valve surgery. Ann. Thorac. Surg., July 1, 2009; 88(1 Suppl): S23 - S42. [Abstract] [Full Text] [PDF]
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D. M. Shahian, S. M. O'Brien, G. Filardo, V. A. Ferraris, C. K. Haan, J. B. Rich, S.-L. T. Normand, E. R. DeLong, C. M. Shewan, R. S. Dokholyan, et al. The Society of Thoracic Surgeons 2008 cardiac surgery risk models: part 3--valve plus coronary artery bypass grafting surgery. Ann. Thorac. Surg., July 1, 2009; 88(1 Suppl): S43 - S62. [Abstract] [Full Text] [PDF]
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