ABSTRACT

Department of Biostatistics and Epidemiology, Cincinnati Children’s Hospital

Medical Center, Cincinnati, Ohio, USA

4.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 91

4.2 Regression Analysis with Proportional Hazards Model . . . . . . . . . 93

4.3 Regression Analysis with Proportional Odds Model . . . . . . . . . . . . . 97

4.4 Regression Analysis with Linear Transformation Model . . . . . . . . 100

4.5 Bivariate Current Status Data with Proportional Odds Model . 101

4.6 Illustrative Examples . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 104

4.7 Discussion and Remarks . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 107

Bibliography . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 109

Current status data, which is also known as type I interval-censored data,

arise naturally in many applications including animal tumorigenicity experi-

ments, HIV and AIDS studies, demographic studies, econometrics, and epi-

demiological studies. In these studies, the variable of interest is the time to

the occurrence of a certain event, such as the tumor onset. By current status

data, we mean that each study subject is observed only at one time point and

92 Interval-Censored Time-to-Event Data: Methods and Applications

no information is available on subjects between their entry times and obser-

vation time points. In other words, for each subject, one only knows whether

the event of interest has occurred before the observation time.