CASE-CONTROL SURVIVAL ANALYSIS WITH A GENERAL SEMIPARAMETRIC SHARED FRAILTY MODEL - A PSEUDO FULL LIKELIHOOD APPROACH.
In this work we deal with correlated failure time (age at onset) data arising from population-based case-control studies, where case and control probands are selected by population-based sampling and an array of risk factor measures is collected for both cases and controls and their relatives. Parameters of interest are effects of risk factors on the failure time hazard function and within-family dependencies among failure times after adjusting for the risk factors. Due to the retrospective sampling scheme, large sample theory for existing methods has not been established. We develop a novel technique for estimating the parameters of interest under a general semiparametric shared frailty model. We also present a simple, easily computed, and non-iterative nonparametric estimator for the cumulative baseline hazard function. We provide rigorous large sample theory for the proposed method. We also present simulation results and a real data example for illustrating the utility of the proposed method.
Gorfine
Malka
M
Faculty of Industrial Engineering and Management, Technion City, Haifa 32000, Israel, E-mail:  gorfinm@ie.technion.ac.il.
Zucker
David M
DM
Hsu
Li
L
Lifetime Data Anal. 2001 Jun;7(2):143-55
11458654
Biometrics. 2002 Sep;58(3):502-9
12229984
J Natl Cancer Inst. 1996 Mar 20;88(6):365-71
8609646
Cancer. 2000 Mar 15;88(6):1393-402
10717622
Biostatistics. 2006 Jul;7(3):387-98
16368774
JAMA. 1998 Mar 25;279(12):922-9
9544766
Biometrics. 1988 Dec;44(4):1049-60
3233245
Ann Stat. 2009;37(3):1489-1517
19684881
Lifetime Data Anal. 2005 Jun;11(2):245-64
15940823
Int J Epidemiol. 2003 Feb;32(1):48-50
12690007
Biometrics. 2004 Dec;60(4):936-44
15606414
IARC Sci Publ. 1980;(32):5-338
7216345
Cancer Res. 2006 Aug 15;66(16):8297-308
16912212
Stat Med. 2007 Nov 10;26(25):4657-78
17348081
Biometrics. 1995 Dec;51(4):1384-99
8589230