Regression analysis for current status data using the EM algorithm

We propose new expectation–maximization algorithms to analyze current status data under two popular semiparametric regression models: the proportional hazards (PH) model and the proportional odds (PO) model. Monotone splines are used to model the baseline cumulative hazard function in the PH model a...

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Bibliographic Details
Published in:Statistics in medicine 2013-11, Vol.32 (25), p.4452-4466
Main Authors: McMahan, Christopher S., Wang, Lianming, Tebbs, Joshua M.
Format: Article
Language:English
Subjects:
African Americans - statistics & numerical data
Algorithms
Bayes Theorem
Computer Simulation
data augmentation
European Continental Ancestry Group - statistics & numerical data
Female
Humans
Incidence
Leiomyoma - diagnostic imaging
Leiomyoma - epidemiology
Likelihood Functions
Mathematical functions
Mathematical models
maximum likelihood
monotone splines
North Carolina - epidemiology
Poisson Distribution
Pregnancy
Pregnancy Complications, Neoplastic - diagnostic imaging
Pregnancy Complications, Neoplastic - epidemiology
Pregnancy Trimester, First
proportional hazards model
Proportional Hazards Models
proportional odds model
Prospective Studies
Regression Analysis
semiparametric regression
Simulation
survival analysis
Tennessee - epidemiology
Texas - epidemiology
Ultrasonography
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Summary:We propose new expectation–maximization algorithms to analyze current status data under two popular semiparametric regression models: the proportional hazards (PH) model and the proportional odds (PO) model. Monotone splines are used to model the baseline cumulative hazard function in the PH model and the baseline odds function in the PO model. The proposed algorithms are derived by exploiting a data augmentation based on Poisson latent variables. Unlike previous regression work with current status data, our PH and PO model fitting methods are fast, flexible, easy to implement, and provide variance estimates in closed form. These techniques are evaluated using simulation and are illustrated using uterine fibroid data from a prospective cohort study on early pregnancy. Copyright © 2013 John Wiley & Sons, Ltd.
ISSN:0277-6715
1097-0258
DOI:10.1002/sim.5863