Semiparametric Regression Models for RepeatedEvents with Random E ects and Measurement

Statistical methodology is presented for the regression analysis of multiple events in the presence of random eeects and measurement error. Omitted covariates are modeled as random eeects. Our approach to parameter estimation and signiicance testing is to start with a naive model of semi-parametric Poisson process regression, and then to adjust for random eeects and any possible covariate measurement error. We illustrate the techniques with data from a randomized clinical trial for the prevention of recurrent skin tumors.

[1]  J. Buzas Unbiased scores in proportional hazards regression with covariate measurement error , 1998 .

[2]  B. Turnbull,et al.  Regression models for recurrent event data: parametric random effects models with measurement error. , 1997, Statistics in medicine.

[3]  N. Keiding,et al.  The role of frailty models and accelerated failure time models in describing heterogeneity due to omitted covariates. , 1997, Statistics in medicine.

[4]  F. Coolen,et al.  Statistical Models Based on Counting Processes. , 1996 .

[5]  R J Cook,et al.  Robust tests for treatment comparisons based on recurrent event responses. , 1996, Biometrics.

[6]  R J Cook,et al.  The design and analysis of randomized trials with recurrent events. , 1995, Statistics in medicine.

[7]  Jerald F. Lawless,et al.  Some Simple Robust Methods for the Analysis of Recurrent Events , 1995 .

[8]  N. Reid,et al.  Estimating Risks of Progressing to Aids when Covariates are Measured , 1993 .

[9]  T. Nakamura,et al.  Proportional hazards model with covariates subject to measurement error. , 1992, Biometrics.

[10]  Roger M. Sauter,et al.  Introduction to Statistical Quality Control (2nd ed.) , 1992 .

[11]  B W Turnbull,et al.  Analysis of multi-type recurrent events in longitudinal studies; application to a skin cancer prevention trial. , 1990, Biometrics.

[12]  R. Prentice,et al.  Further results on covariate measurement errors in cohort studies with time to response data. , 1989, Statistics in medicine.

[13]  J. Lawless Regression Methods for Poisson Process Data , 1987 .

[14]  P. Sander Repairable systems reliability: Modeling, inference, misconceptions and their causes , 1986 .

[15]  M. Gail,et al.  Biased estimates of treatment effect in randomized experiments with nonlinear regressions and omitted covariates , 1984 .

[16]  S W Lagakos,et al.  Properties of proportional-hazards score tests under misspecified regression models. , 1984, Biometrics.

[17]  David R. Cox,et al.  Some remarks on overdispersion , 1983 .

[18]  R. Gill,et al.  Cox's regression model for counting processes: a large sample study : (preprint) , 1982 .

[19]  R. Prentice Covariate measurement errors and parameter estimation in a failure time regression model , 1982 .

[20]  A. V. Peterson,et al.  On the regression analysis of multivariate failure time data , 1981 .

[21]  D. Ruppert,et al.  Measurement Error in Nonlinear Models , 1995 .

[22]  David Oakes,et al.  Frailty Models For Multiple Event Times , 1992 .

[23]  L. J. Wei,et al.  Regression analysis of multivariate incomplete failure time data by modeling marginal distributions , 1989 .

[24]  L. J. Wei,et al.  The Robust Inference for the Cox Proportional Hazards Model , 1989 .

[25]  J. Taylor An Introduction to Error Analysis , 1982 .

[26]  P. J. Huber The behavior of maximum likelihood estimates under nonstandard conditions , 1967 .

[27]  L. L. Cam,et al.  On the Asymptotic Theory of Estimation and Testing Hypotheses , 1956 .

[28]  D.,et al.  Regression Models and Life-Tables , 2022 .