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Activity Number: 74
Type: Contributed
Date/Time: Sunday, July 29, 2012 : 4:00 PM to 5:50 PM
Sponsor: Biometrics Section
Abstract - #305602
Title: A Cure Rate Model for Interval-Censored Data
Author(s): Walter Faig*+
Companies: University of California at San Diego
Address: 3775D Miramar St., La Jolla, CA, 92037,
Keywords: Cure Rate Model ; Interval Censoring ; Left Truncation ; EM Algorithm

In failure time studies the concern is sometimes twofold: the effect of treatment on the likelihood of an event and estimating the survival function given the occurrence of the event. For right-censored data these can be addressed using a mixture (cure rate) model and maximum likelihood estimation via the EM algorithm. We propose a model and develop an estimation approach to allow for left-truncated data. Here we specify the form of the EM algorithm for the case where the survival function follows the Cox model and the event probability follows a logistic one. In some failure time studies the actual event times are not recorded; instead it is known an interval in which the event occurs. To accommodate for these possibly interval-censored data we give an extension of our mixture model. Finally, we provide an example on spontaneous abortion events from pregnancy data which has motivated our methodology.

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