Abstract
Our goal is to estimate the risk of contacting Pneurnocystis carinii Pneumonia (PCP) in a fixed time interval based on the current observed CD4 count for an individual. The methodology used involves a linear random effects model for the trajectory of the observed CD4 counts in order to obtain predicted values at each event time. These predicted counts are imputed in the partial likelihood for estimating a regression coefficient in the Cox model. Subsequently, Monte Carlo techniques are employed to approximate the risk of PCP in a six month period. The method will be illustrated on data from AIDS patients.
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References
Anderson, P.K., Gill, R. (1982). Cox’s regression model for counting processes, Annals of Statistics, vol 10
Cox, D.R. (1975). Partial Likelihood. Biometrika, vol 69
Dafni, U.G., Tsiatis, A.A. (1993). A Bias-reduced Method for Estimating Association of Survival to Time varying Covariates Measured with Error in the Cox Model. Ph.D. Thesis, Harvard School of Public Health
Fleming, P., Harrington, D. (1992). Counting Processes and Survival Analysis. Wiley,pp 132–137
Laird, N.M., Ware, J.H. (1982). Random-effects models for longitudinal data. Biometrics,vol 38
Laird, N.M., Lange, N., Stram, D. (1987). Maximum Likelihood Computations With Repeated Measures: Application of the EM Algorithm, Journal of the American Statistical Association, vol 82
Lindstrom, M.J., Bates, D.M. (1988). Newton-Raphson and EM algorithms for linear mixed-effects models for repeated measures data, Journal of the American Statistical Association, vol 83
Tsiatis, A.A., De Gruttola, V., Wulfsohn, M. (1993). Modeling the relationship between Survival and CD4-lymphocytes in Patients with AIDS and AIDS-related Complex. Journal of AIDS
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Shah, A., Schoenfeld, D., De Gruttola, V. (1995). Risk Estimation Using a Surrogate Marker Measured with Error. In: Seeber, G.U.H., Francis, B.J., Hatzinger, R., Steckel-Berger, G. (eds) Statistical Modelling. Lecture Notes in Statistics, vol 104. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0789-4_33
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DOI: https://doi.org/10.1007/978-1-4612-0789-4_33
Publisher Name: Springer, New York, NY
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