Testing the proportional hazards assumption in case-cohort analysis

BMC Medical Research Methodology

Volumn 13, Issue 1, 2013, Pages

  Xue, Xiaonan ^a   Xie, Xianhong ^a   Gunter, Marc ^b   Rohan, Thomas E ^a   Wassertheil Smoller, Sylvia ^a   Ho, Gloria Y F ^a   Cirillo, Dominic ^c   Yu, Herbert ^d   Strickler, Howard D ^a  

^a ALBERT EINSTEIN COLLEGE OF MEDICINE   (United States)

^b IMPERIAL COLLEGE LONDON   (United Kingdom)

^c UNIVERSITY OF IOWA HEALTH CARE   (United States)

^d UNIVERSITY OF HAWAII CANCER CENTER   (United States)

Author keywords

Case cohort studies; Cox models; Proportional hazards; Schoenfeld residuals

Indexed keywords

AGED; ARTICLE; COHORT ANALYSIS; FEMALE; HUMAN; KAPLAN MEIER METHOD; MIDDLE AGED; PROPORTIONAL HAZARDS MODEL; STATISTICAL MODEL; TIME;

AGED; COHORT STUDIES; FEMALE; HUMANS; KAPLAN-MEIER ESTIMATE; LIKELIHOOD FUNCTIONS; MIDDLE AGED; PROPORTIONAL HAZARDS MODELS; TIME FACTORS;

EID: 84880033793     PISSN: None     EISSN: 14712288     Source Type: Journal    
DOI: 10.1186/1471-2288-13-88     Document Type: Article

References (30)

1. A case-cohort design for epidemiologic cohort studies and disease prevention trials. Prentice RL, Biometrika 1986 73 1 11 10.1093/biomet/73.1.1
2. Asymptotic distribution theory and efficiency results for case-cohort studies. Self SG, Prentice RL, Ann Stat 1988 16 64 81 10.1214/aos/1176350691
3. Statistical methods in cancer epidemiological studies. Xue X, Hoover DR, Cancer Epidemiology Methods Mol Biol 2009 471 239 272 10.1007/978-1-59745-416-2- 13
4. Insulin, insulin-like growth factor-I, endogenous estradiol, and risk of colorectal cancer in postmenopausal women. Gunter MJ, Hoover DR, Yu H, Wassertheil-Smoller S, Rohan TE, Manson JE, Howard BV, Wylie-Rosett J, Anderson GL, Ho GYF, Kaplan RC, Li J, Xue X, Harris TG, Burk RD, Strickler HD, Cancer Res 2008 68 1 329 337 10.1158/0008-5472.CAN-07-2946 18172327 (Pubitemid 351380136)
5. A prospective evaluation of insulin and insulin-like growth factor-I as risk factors for endometrial cancer. Gunter MJ, Hoover DR, Yu H, Wassertheil-Smoller S, Manson JE, Li J, Harris TG, Rohan TE, Xue X, Ho Y, Einstein M, Kaplan RC, Burk RD, Wylie-Rosett J, Pollak MN, Anderson G, Howard BV, Strickler HD, Cancer Epidemiol Biomarkers Prev 2008 17 4 1 9 18187387
6. Insulin, insulin-like growth factor-I, and risk of breast cancer in postmenopausal women. Gunter MJ, Hoover DR, Yu H, Wassertheil-Smoller S, Rohan TE, Manson JE, Li J, Ho Y, Xue X, Anderson GL, Kaplan RC, Harris TG, Howard BV, Wylie-Rosett J, Burk RD, Strickler HD, JNCI 2009 101 1 48 60 19116382
7. Regression models and life tables (with discussion). Cox DR, J R Stat Soc B 1972 34 187 220
8. Robust variance estimation for the case-cohort design. Barlow WE, Biometrics 1994 50 1064 1072 10.2307/2533444 7786988
9. Variables with time-varying effects and the cox model: some statistical concepts illustrated with a prognostic factor study in breast cancer. Bellera CA, MacGrogan G, Debled M, de Lara CT, Brouste V, Mathoulin-Pelissier S, BMC Med Res Methodol 2010 10 20 10.1186/1471-2288-10-20 20233435
10. Testing goodness of fit of cox's regression and life model. Andersen PK, Biometrics 1982 38 67 77 10.2307/2530289
11. Partial residuals for the proportional hazards regression model. Schoenfeld D, Biometrika 1982 69 239 241 10.1093/biomet/69.1.239
12. Testing goodness of fit for proportional hazards model with censored observations. Wei LJ, J Am Stat Assoc 1984 79 649 652 10.1080/01621459.1984. 10478092
13. Harrell FE, Lee KL, Verifying Assumptions of the Cox Proportional Hazards Model. Proceedings of the Eleventh Annual. SAS User's Group International Conference Cary, N.C.: SAS Institute, Inc. 1986 823 828
14. Hosmer DW Jr, Lemeshow S, May S, Applied Survival Analysis: Regression Modeling of Time to Event Data 2 2008
15. Residuals for relative risk regression. Barlow WE, Prentice RL, Biometrika 1988 75 65 74 10.1093/biomet/75.1.65
16. Martingale-based residuals for survival models. Therneau TM, Grambsch PM, Fleming TR, Biometrika 1990 77 147 160 10.1093/biomet/77.1.147
17. Some diagnostic methods for cox regression models through hazard smoothing. Gray RJ, Biometrics 1990 46 93 102 10.2307/2531633 2190638 (Pubitemid 20245609)
18. Checking the cox model with cummulative sums of martingale-based residuals. Lin DY, Wei LJ, Ying Z, Biometrika 1993 80 557 572 10.1093/biomet/80.3.557
19. Proportional hazards tests and diagnostics based on weighted residuals. Grambsch PM, Therneau TM, Biometrika 1994 81 3 515 526 10.1093/biomet/81.3.515
20. Chen X, Score Test of Proportionality Assumption for Cox Models Los Angeles, CA: Statistical Consulting Group UCLA 2008 http://www.ats.ucla.edu/ stat/
21. Therneau T, R Package 'survival' 2012 http://r-forge.r-project.org 23837715
22. Computational methods for case-cohort studies. Langholz B, Jiao J, Comput Stat Data Anal 2007 51 3737 3748 10.1016/j.csda.2006.12.028 (Pubitemid 46509540)
23. Ng'andu NH, A comparison of test statistics for assessing the proportional hazards assumption of Cox's model Doctor Dissertation at Department of Biostatistics, University of North Carolina, Institute of Statistics, Mimeo Series No. 2141T 1994 9131751
24. The women's health initiative study group. Design of the Women's Health Initiative Clinical Trial and Observational Study, Control Clin Trials 1998 19 61 109 9492970
25. A model for non-parametric regression analysis of counting processes. Aalen OO, Lecture Notes in Statistics-2: Mathematical statistics and Probability Theory New York, NY: Springer-Verlag, Klonecki W, Kozek A, Rosinski J, 1980 1 25
26. Additive hazards regression for case-cohort studies. Kulich M, Lin DY, Biometrika 2000 87 1 73 87 10.1093/biomet/87.1.73
27. Additive hazard regression models: an application to the natural history of human papillomavirus. Xie X, Strickler HD, Xue X, Comput Math Methods Med 2013 In press
28. Martinussen T, Scheike TH, Dynamic regression models for survival data New York, NY: Springer 2005
29. Exposure stratified case-cohort designs. Borgan O, Langholz B, Samuelsen SO, Goldstein L, Pogoda J, Lifetime Data Anal 2000 6 1 39 10.1023/A: 1009661900674 10763560
30. Conventional case-cohort design and analysis for studies of interaction. Cologne J, Preston DL, Kazue I, Misumi M, Yoshida K, Hayashi T, Nakachi K, Int J Epidemiol 2012 41 1174 1186 10.1093/ije/dys102 22815332