Abstract
In longitudinal studies, the relationship between exposure and disease can be measured once or multiple times while participants are monitored over time. Traditional regression techniques are used to model outcome data when each epidemiological unit is observed once. These models include generalized linear models for quantitative continuous, discrete, or qualitative outcome responses and models for time-to-event data. When data come from the same subjects or group of subjects, observations are not independent and the underlying correlation needs to be addressed in the analysis. Under these circumstances, extended models are necessary to handle complexities related to clustered data and repeated measurements of time-varying predictors or outcomes.
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References
1. Go, A. S., Chertow, G. M., Fan, D., McCulloch, C. E., Hsu, C. (2004) Chronic kidney disease and the risks of death, cardiovascular events, and hospitalization. N Engl J Med 351, 1296–1305.
2. Merten, G. J., Burgess, W. P., Gray, L. V., Holleman, J. H., Roush, T. S., Kowalchuk, G. J., Bersin, R. M., Van Moore, A., Simonton, C. A. III, Rittase, R. A., Norton, H. J., Kennedy, T. P. (2004) Prevention of contrast-induced nephropathy with sodium bicarbonate: A randomized controlled trial. JAMA 291, 2328–2334.
3. Ravani, P., Tripepi, G., Malberti, F., Testa, S., Mallamaci, F., Zoccali, C. (2005) Asymmetrical dimethylarginine predicts progression to dialysis and death in patients with chronic kidney disease: A competing risks modeling approach. J Am Soc Nephrol 16, 2449–2455.
4. Heckbert, S. R., Post, W., Pearson, G. D., Arnett, D. K., Gomes, A. S., Jerosch-Herold, M., Hundley, W. G., Lima, J. A., Bluemke, D. A. (2006): Traditional cardiovascular risk factors in relation to left ventricular mass, volume, and systolic function by cardiac magnetic resonance imaging: The Multiethnic Study of Atherosclerosis. J Am Coll Cardiol 48, 2285–2292.
5. Heine, G. H., Reichart, B., Ulrich, C., Kohler, H., Girndt, M. (2007) Do ultrasound renal resistance indices reflect systemic rather than renal vascular damage in chronic kidney disease? Nephrol Dial Transplant 22, 163–170.
6. Glantz, S. A., Slinker, B. K. (2001) A Primer of Applied Regression and Analysis of Variance, 2nd ed. McGraw-Hill, New York.
7. Hosmer, D. W., Lemeshow, L. S. (2000) Introduction to logistic regression model, in Applied Logistic Regression, 2nd ed., John Wiley & Sons, New York, pp. 1–30.
8. Hosmer, D. W., Lemeshow, L. S. (2000) Sample size issues when fitting logistic regression. In Applied Logistic Regression, 2nd ed. John Wiley & Sons New York, pp. 339–351.
9. Hosmer, D. W., Lemeshow, L. S. (2000) Applied Logistic Regression, 2nd ed. John Wiley & Sons New York.
10. Dupont, W. D. (2002) Introduction to Poisson regression: Inferences on morbidity and mortality rates, in A Simple Introduction to the Analysis of Complex Data. Cambridge University Press, Cambridge, MA, pp. 269–294.
11. Kleinbaum, D. G., Kupper, L. L., Muller, K. E., Nizam, A. (1997) Poisson regression analysis, in Applied Regression Analysis and Multivariable Methods. Duxbury Press, Belmont, CA, pp. 687–710.
12. Hosmer, D. W., Lemeshow, L. S. (1999) Applied Survival Analysis, Regression Modelling of Time to Event Data. John Wiley & Sons, New York.
13. Kleinbaum, D. G. (2005) Survival Analysis, a Self-Learning Text. Springer-Verlag, New York.
14. Cox, D. R. (1972) Regression models and life-tables. J Royal Stat Soc, Series B, 34, 187–220.
15. Bland, M., Altman, D. G. (1986) Statistical methods for assessing agreement between two methods of clinical measurements. Lancet 1, 307–310.
16. Lin, D. Y., Wei, L. J. (1989) The robust inference for the Cox proportional hazards model. J Amer Stat Assoc 84, 1074–1078.
17. White, H. (1982) Maximum likelihood estimation of misspecifed models. Econometrica 50, 1–25.
18. Zeger, S. L., Liang, K.-Y. (1986) Longitudinal data analysis for discrete and continuous outcomes. Biometrics 42, 121–130.
19. Therneau, T. M., Grambisch, P. M. (2000) Multiple events per subject and frailty models, in Modeling Survival Data: Extending the Cox Model. Springer-Verlag, New York, pp. 159–260.
20. Lee, E. W., Wei, L. J., Amato, D. (1992) Cox-type regression analysis for large number of small groups of correlated failure time observations, in Survival Analysis, State of the Art. Kluwer Academic Publishers, Dodrecht, the Netherlands, pp. 237–247.
21. Ravani, P., Tripepi, G., Malberti, F., et al. (2005) Asymmetrical dimethylarginine predicts progression to dialysis and death in patients with chronic kidney disease: A competing risks modeling approach. J Am Soc Neph 16, 2449–2455.
22. Lunn, M., McNeil, D. (1995) Applying Cox regression to competing risks. Biometrics 51, 524–532.
23. Wei, L. J., Lin, D. Y., Weissfeld, L. (1989) Regression analysis of multivariate incomplete failure time data by modeling marginal distributions. J Amer Stat Assoc 84, 1065–1073.
24. Andersen, P. K., Gill, R. D. (1982) Cox's regression model for counting processes: A large sample study. Ann Stat 10, 1100–1120.
25. Prentice, R. L., Williams, B. J., Peterson, A. V. (1981) On the regression analysis of multivariate failure time data. Biometrika 68, 373–379.
26. Eknoyan, G., Beck, G. J., Cheung, A. K., Daugirdas, J. T., Greene, T., Kusek, J. W., Allon, M., Bailey, J., Delmez, J. A., Depner, T. A., Dwyer, J. T., Levey, A. S., Levin, N. W., Milford, E., Ornt, D. B., Rocco, M. V., Schulman, G., Schwab, S. J., Teehan, B. P., Toto, R., Hemodialysis (HEMO) Study Group. (2002) Effect of dialysis dose and membrane flux in maintenance hemodialysis. N Engl J Med 347 (25), 2010–2019.
Ravani P, Tripepi G, Pecchini P, Mallamaci F, Malberti F, Zoccali C (2008) Urotensin II is an inverse predictor of death and fatal cardiovascular events in chronic kidney disease. Kidney Int 73, 95–101
28. Huang, X., Wolfe, R. A. (2002) A frailty model for informative censoring. Biometrics 58, 510–520.
Box-Steffensmeier, J. M., De Boef, S. (2005) Repeated events survival models: The conditional frailty model. Stat Med (Epub ahead of print)
30. Liu, L., Wolfe, R. A., Huang, X. (2004) Shared frailty models for recurrent events and a terminal event. Biometrics 60, 747–756.
31. Mahe, C., Chevret, S. (2001) Analysis of recurrent failure times data: Should the baseline hazard be stratified? Stat Med 20, 3807–3815.
32. Hougaard, P. (1995) Frailty models for survival data. Lifetime Data Anal 1,255–273.
33. Pickles, A., Crouchley, R. (1995) A comparison of frailty models for multivariate survival data. Stat Med 14 (13), 1447–1461.
34. Dittrich, E., Puttinger, H., Schillinger, M., Lang, I., Stefenelli, T., Horl, W. H., Vychytil, A. (2006) Effect of radio contrast media on residual renal function in peritoneal dialysis patients—a prospective study. Nephrol Dial Transplant 21(5), 1334–1339.
35. van Vilsteren, M. C., de Greef, M. H., Huisman, R. M. (2005) The effects of a low-to-moderate intensity pre-conditioning exercise programme linked with exercise counselling for sedentary haemodialysis patients in the Netherlands: results of a randomized clinical trial. Nephrol Dial Transplant 20(1), 141–146.
36. Weijnen, T. J., van Hamersvelt, H. W., Just, P. M., Struijk, D. G., Tjandra, Y. I., ter Wee, P. M., de Charro, F. T. (2003) Economic impact of extended time on peritoneal dialysis as a result of using polyglucose: The application of a Markov chain model to forecast changes in the development of the ESRD programme over time. Nephrol Dial Transplant18(2), 390–396.
37. Espinosa, M., Martn-Malo, A., Ojeda, R., Santamara, R., Soriano, S., Aguera, M., Aljama, P. (2004) Marked reduction in the prevalence of hepatitis C virus infection in hemodialysis patients: Causes and consequences. Amer J Kidney Dis 43 (4), 685–689.
Ravani P, Parfrey P, Murphy S, Gadag V, Barrett B (2008) Clinical research of kidney diseases IV: Standard regression models. Nephrol Dial Transplant 23, 475–82
Ravani P, Parfrey P, Gadag V, Malberti F, Barrett B (2008) Clinical research of kidney diseases V: extended analytic models. Nephrol Dial Transplant 23, 1484–92
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Ravani, P., Barrett, B., Parfrey, P. (2008). Modeling Longitudinal Data, II: Standard Regression Models and Extensions. In: Barrett, B., Parfrey, P. (eds) Clinical Epidemiology. Methods in Molecular Biology™, vol 473. Humana Press. https://doi.org/10.1007/978-1-59745-385-1_4
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DOI: https://doi.org/10.1007/978-1-59745-385-1_4
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