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Activity Number: 156
Type: Contributed
Date/Time: Monday, August 7, 2006 : 10:30 AM to 12:20 PM
Sponsor: Biometrics Section
Abstract - #306457
Title: Estimation of the Mean Function of Panel Count Data Using Monotone Polynomial Splines
Author(s): Minggen Lu*+ and Ying Zhang and Jian Huang
Companies: The University of Iowa and The University of Iowa and The University of Iowa
Address: 598 Hawkeye Court, Iowa City, IA, 52246,
Keywords:
Abstract:

We study the nonparametric pseudo-likelihood and full likelihood estimators of the mean function of a counting process based on panel count data using monotone polynomial splines. The setting for panel count data is one in which n independent subjects, each with a counting process with common mean function, are observed at several possibly different times during a study. Generalized Rosen algorithm was used to compute the estimators. We show the proposed spline estimators are asymptotically consistent and the rate of convergence is higher than 1/3. The simulation study show the spline-based estimators have smaller variances and mean square errors than nonparametric pseudo and full likelihood estimators proposed in Wellner and Zhang (2000). A real Bladder cancer trial example is used to illustrate the method.


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