Cure frailty models for survival data: Application to recurrences for breast cancer and to hospital readmissions for colorectal cancer

Statistical Methods in Medical Research

Volumn 22, Issue 3, 2013, Pages 243-260

  Rondeau, Virginie ^a   Schaffner, Emmanuel ^a   Corbière, Fabien ^a,b   Gonzalez, Juan R ^c   Mathoulin Pélissier, Simone ^d  

^a INSERM   (France)

^b IHAP   (France)

^c CENTRE FOR RESEARCH IN ENVIRONMENTAL EPIDEMIOLOGY CREAL   (Spain)

^d INSTITUT BERGONIÉ   (France)

Author keywords

Breast cancer; correlated survival times; cure frailty model; piecewise constant hazards

Indexed keywords

ADULT; ARTICLE; BREAST CANCER; CANCER DIAGNOSIS; CANCER RECURRENCE; CANCER SURVIVAL; COLORECTAL CANCER; CURE FRAILTY MODEL; DEATH; FEMALE; HOSPITAL READMISSION; HUMAN; MAJOR CLINICAL STUDY; MALE; MAXIMUM LIKELIHOOD METHOD; METASTASIS; POPULATION; PRIMARY TUMOR; RESEARCH PRIORITY; SANTALUM ALBUM; SECOND CANCER; STATISTICAL ANALYSIS; STATISTICAL MODEL; STATISTICAL PARAMETERS; SURVIVAL TIME;

BREAST CANCER; CORRELATED SURVIVAL TIMES; CURE FRAILTY MODEL; PIECEWISE CONSTANT HAZARDS;

BREAST NEOPLASMS; COLORECTAL NEOPLASMS; FEMALE; HUMANS; LIKELIHOOD FUNCTIONS; MODELS, THEORETICAL; NEOPLASM METASTASIS; NEOPLASM RECURRENCE, LOCAL; PATIENT READMISSION; SURVIVAL RATE;

EID: 84878472431     PISSN: 09622802     EISSN: 14770334     Source Type: Journal    
DOI: 10.1177/0962280210395521     Document Type: Article

References (31)

1. Pocock S, Gore S, Kerr G. Long-term survival analysis: the curability of breast cancer. Stat Med. 1982 ; 1: 93-104
2. Rutqvist L, Wallgren A, Nillson B. Is breast cancer a curable disease?. Cancer. 1984 ; 53: 1793-1800
3. Perperoglou A, Keramopoullos A, van Houwelingen HC. Approaches in modelling longterm survival: an application to breast cancer. Stat Med. 2007 ; 26 (13). 2666-2685
4. Cox DR. Regression models and life-tables. J R Stat Soc. Ser B (Methodological). 1972 ; 34: 187-220
5. Sy JP, Taylor JMG. Estimation in a cox proportional hazards cure model. Biometrics. 2000 ; 56 (1). 227-236
6. Rondeau V, Commenges D, Joly P. Maximum penalized likelihood estimation in a gammafrailty model. Lifetime Data Anal. 2003 ; 9 (2). 139-153
7. Rondeau V, Mathoulin-Pelissier S, Jacqmin-Gadda H, Brouste V, Soubeyran P. Joint frailty models for recurring events and death using maximum penalized likelihood estimation: application on cancer events. Biostatistics. 2007 ; 8 (4). 708-721
8. Duchateau L, Janssen P, Kezic I, Fortpied C. Evolution of recurrent asthma event rate over time in frailty models. Appl Stat. 2003 ; 52 (3). 355-363
9. Chatterjee N, Shih J. A bivariate cure-mixture approach for modeling familial association in diseases. Biometrics. 2001 ; 57 (3). 779-786
10. Yin G. Bayesian cure rate frailty models with application to a root canal therapy study. Biometrics. 2005 ; 61 (2). 552-558
11. Wienke A, Lichtenstein P, Yashin AI. A bivariate frailty model with a cure fraction for modeling familial correlations in diseases. Biometrics. 2003 ; 59: 1178-1183
12. Locatelli I, Rosina A, Lichtenstein P, Yashin AI. A correlated frailty model with long-term survivors for estimating the heritability of breast cancer. Stat Med. 2007 ; 26 (20). 3722-3734
13. Peng Y, Zhang J. Estimation method of the semiparametric mixture cure gamma frailty model. Stat Med. 2008 ; 27 (25). 5177-5194
14. Price DL, Manatunga AK. Modelling survival data with a cured fraction using frailty models. Stat Med. 2001 ; 20 (9-10). 1515-1527
15. Yu B. A frailty mixture cure model with application to hospital readmission cata. Biometric J. 2008 ; 50 (3). 386-394
16. Vaupel JW, Manton KG, Stallard E. The impact of heterogeneity in individual frailty on the dynamics of mortality. Demography. 1979 ; 16: 439-454
17. Yau KKW, McGilchrist CA. ML and REML estimation in survival analysis with time dependent correlated frailty. Stat Med. 1998 ; 17 (11). 1201-1213
18. Fong DYT, Lam KF, Lawless JF, Lee YW. Dynamic random effects models for times between repeated events. Lifetime Data Anal. 2001 ; 7 (4). 345-362
19. De Bock GH, Van Der Hage JA, Putter H, Bonnema J, Bartelink H, Van De Velde CJ. Isolated loco-regional recurrence of breast cancer is more common in young patients and following breast conserving therapy: long-term results of European Organisation for Research and Treatment of Cancer studies. Eur J Cancer. 2006 ; 42 (3). 351-356
20. Kalbeisch JD, Prentice RL The statistical analysis of failure time data. New York, NY: Wiley-Interscience ; 2002 :
21. Peng Y, Dear KBG. A nonparametric mixture model for cure rate estimation. Biometrics. 2000 ; 56: 237-243
22. Hue XJ, Lawless JF. Estimation of the rate and mean functions from truncated recurrent event data. J Am Stat Assoc. 1996 ; 91: 300-310
23. Feng S, Wolfe RA, Port FK. Frailty survival model analysis of the national deceased donor kidney transplant dataset using poisson variance structures. J Am Stat Assoc. 2005 ; 100 (471). 728-735
24. Littell RC, Milliken GA, Stroup WW, Wolfinger RD SAS for mixed models. Cary, NC: SAS Publishing ; 2006 :
25. de Mascarel I, MacGrogan G, Mathoulin-Pelissier S, Soubeyran I, Picot V, Coindre JM. Breast ductal carcinoma in situ with microinvasion: a definition supported by a long-term study of 1248 serially sectioned ductal carcinomas. Cancer. 2002 ; 94 (8). 2134-2142
26. de Mascarel I, Soubeyran I, MacGrogan G, Picot V, Mathoulin-Pelissier S. Immunohistochemically detected lymph node metastases from breast carcinoma: practical considerations about the new American Joint Committee on Cancer classification. Cancer. 2005 ; 103 (7). 1319-1322
27. Molenberghs G, Verbeke G. Likelihood ratio, score, and Wald tests in a constrained parameter space. Am Stat. 2007 ; 61 (1). 22-27
28. Commenges D, Sayyareh A, Letenneur L, Guedj J, Bar-Hen A. Estimating a difference of Kullback-Leibler risks using a normalized difference of AIC. Ann Appl Stat. 2008 ; 2: 1123-1142
29. González JR, Fernandez E, Moreno V, et al. Sex differences in hospital readmission among colorectal cancer patients. BMJ. 2005 ; 59 (6). 506-506
30. Charlson ME, Pompei P, Ales KL, Mackenzie CR. A new method of classifying prognostic comorbidity in longitudinal studies: Development and validation*1. J Chronic Dis. 1987 ; 40 (5). 373-383
31. Yu B, Tiwari RC, Cronin KA, Feuer EJ. Cure fraction estimation from the mixture cure models for grouped survival data. Stat Med. 2004 ; 23 (11). 1733-1747