Survival analysis: A primer

American Statistician

Volumn 62, Issue 2, 2008, Pages 110-119

  Freedman, David A ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Cox model; Event history analysis; Kaplan Meier estimator; Life tables; Proportional hazards

Indexed keywords

EID: 55549148442     PISSN: 00031305     EISSN: None     Source Type: Journal    
DOI: 10.1198/000313008X298439     Document Type: Article

References (50)

1. Aalen, O. O. (1978), "Nonparametric Inference for a Family of Counting Processes," Annals of Statistics, 6, 701-26.
2. Altman, D. G., Schulz, K. F., David Moher et al. (2001), "The Revised CONSORT Statement for Reporting Randomized Trials: Explanation and Elaboration," Annals of Internal Medicine, 134, 663-694.
3. Andersen, P. K. (1991), "Survival Analysis 1982-1991: The Second Decade of the Proportional Hazards Regression Model," Statistics in Medicine, 10, 1931-1941.
4. Andersen, P. K., Borgan, Ø., Gill, R. D., and Keiding, N. (1996), Statistical Models Based on Counting Processes, Corr. 4th printing, New York: Springer-Verlag.
5. Andersen, P. K., and Keiding, N. (eds.) (2006), Survival and Event History Analysis, Chichester, U.K.: Wiley.
6. Barrett-Connor, E. (1991), "Postmenopausal Estrogen and Prevention Bias," Annals of Internal Medicine, 115, 455-456.
7. Bernoulli, D. (1760). "Essai d'une nouvelle analyse de la mortalité causée par la petite variole, et des avantages de l'inoculation pour la prévenir," Mémoires de Mathématique et de Physique de l'Académie Royale des Sciences, Paris, 1-45.
8. Reprinted in Histoire de l'Académie Royale des Sciences (1766).
9. Cox, D. (1972), "Regression Models and Lifetables" (with discussion), Journal of the Royal Statistical Society, Series B, 34, 187-220.
10. Dietz, K., and Hesterbeek, J. A. P. (2002), "Daniel Bernoulli's Epidemiological Model Revisited," Mathematical Biosciences, 180, 1-21.
11. Fleming, T. R., and Harrington, D. P. (2005), Counting Processes and Survival Analysis (2nd rev. edn.), New York: Wiley.
12. Freedman, D. A. (1983), Markov Chains, New York: Springer-Verlag.
13. _ (2005), Statistical Models: Theory and Practice, New York: Cambridge University Press.
14. _ (2006), "Statistical Models for Causation: What Inferential Leverage Do They Provide?" Evaluation Review, 30, 691-713.
15. _ (2007), "On Regression Adjustments in Experiments with Several Treatments," to appear in Annals of Applied Statistics. Available online at: http://www.stat.berkeley.edu/users/census/neyregcm.pdf.
16. _ (2008a), "Diagnostics Cannot Have Much Power Against General Alternatives," available online http://www.stat.berkeley.edu/users/ census/notest.pdf.
17. _ (2008b), "Randomization Does Not Justify Logistic Regression," http://www.stat.berkeley.edu/users/census/neylogit.pdf.
18. Freedman, D. A., Purves, R. A., and Pisani R. (2007), Statistics (4th ed.), New York: W. W. Norton & Co., Inc.
19. Fremantle, N., Calvert, M., Wood, J. et al. (2003), "Composite Outcomes in Randomized Trials: Greater Precision But With Greater Uncertainty?" Journal of the American Medical Association, 289, 2554-2559.
20. Gani, J. (1978), "Some Problems of Epidemic Theory" (with discussion), Journal of the Royal Statistical Society, Series A, 141, 323-347.
21. Geller, N. L., Sorlie, P., Coady, S., Fleg, J., and Friedman, L. (2004), "Limited Access Data Sets from Studies Funded by the National Heart, Lung, and Blood Institute," Clinical Trials, 1, 517-524.
22. Graunt, J. (1662), Natural and Political Observations Mentioned in a following Index, and Made upon the Bills of Mortality. London. Printed by Tho. Roycroft, for John Martin, James Allestry, and Tho. Dicas, at the Sign of the Bell in St. Paul's Church-yard, MDCLXII. Available online at http://www.ac.wwu.edu/~stephan/Graunt/. There is a life table on page 62. Reprinted by Ayer Company Publishers, NH, 2006.
23. Grodstein, F., Stampfer, M. J., Manson, J. et al. (1996), "Postmenopausal Estrogen and Progestin Use and the Risk of Cardiovascular Disease," New England Journal of Medicine, 335, 453-461.
24. Grodstein, F., Stampfer, M. J., Colditz, G. A. et al. (1997), "Postmenopausal Hormone Therapy and Mortality," New England Journal of Medicine, 336, 1769-1775.
25. Hald, A. (2005), A History of Probability and Statistics and Their Applications before 1750, New York: Wiley.
26. Halley, E. (1693), "An Estimate of the Mortality of Mankind, Drawn from Curious Tables of the Births and Funerals at the City of Breslaw; with an Attempt to Ascertain the Price of Annuities upon Lives," Philosophical Transactions of the Royal Society of London, 196, 596-610, 654-56.
27. Henschke, C. I., Yankelevitz, D. F., Libby, D. M. et al. (2006), "The International Early Lung Cancer Action Program Investigators. Survival of Patients with Stage I Lung Cancer Detected on CT Screening," New England Journal of Medicine, 355, 1763-1771.
28. Hill, A. B. (1961), Principles of Medical Statistics (7th ed.), London: The Lancet.
29. Jewell, N. P. (2003), Statistics for Epidemiology, Boca Raton, FL: Chapman & Hall/CRC.
30. Kalbfleisch, J. D., and Prentice, R. L. (1973), "Marginal Likelihoods Based on Cox's Regression and Life Model," Biometrika, 60, 267-278.
31. _ (2002), The Statistical Analysis of Failure Time Data (2nd ed.), New York: Wiley.
32. Kaplan, E. L., and Meier, P. (1958), "Nonparametric Estimation from Incomplete Observations," Journal of American Statistical Association, 53, 457-481.
33. Kirk, D. (1996), "Demographic Transition Theory," Population Studies, 50, 361-387.
34. Lawless, J. F. (2003), Statistical Models and Methods for Lifetime Data (2nd ed.), New York: Wiley.
35. Lee, E. T., and Wang, J. W. (2003), Statistical Methods for Survival Data Analysis (3rd ed.), New York: Wiley.
36. Miller, R. G., Jr. (1998), Survival Analysis, New York: Wiley.
37. Neyman, J. (1923), Sur les applications de la théorie des probabilités aux experiences agricoles: Essai des principes. Roczniki Nauk Rolniczych 10: 1-51, in Polish.
38. English translation by Dabrowska, D. M. and Speed, T. P. (1990), Statistical Science (with discussion), 5, 465-480.
39. Pargament, K. I., Koenig, H. G., Tarakeshwar, N., and Hahn, J. (2001), "Religious Struggle as a Predictor of Mortality among Medically Ill Patients," Archives of Internal Medicine, 161, 1881-1885.
40. Patz, E. F., Jr., Goodman, P. C., and Bepler, G. (2000), "Screening for Lung Cancer," New England Journal of Medicine, 343, 1627-1633.
41. Petitti, D. B. (1994), "Coronary Heart Disease and Estrogen Replacement Therapy: Can Compliance Bias Explain the Results of Observational Studies?" Annals of Epidemiology, 4, 115-118.
42. _ (1998), "Hormone Replacement Therapy and Heart Disease Prevention: Experimentation Trumps Observation," Journal of the American Medical Association, 280, 650-651.
43. _ (2002), "Hormone Replacement Therapy for Prevention," Journal of the American Medical Association, 288, 99-101.
44. Petitti, D. B., and Chen, W. (2008), "Statistical Adjustment for a Measure of Healthy Lifestyle Doesn't Yield the Truth about Hormone Therapy," to appear in Probability and Statistics: Essays in Honor of David A. Freedman, eds. Deborah Nolan and Terry Speed. Beachwood, OH: Institute of Mathematical Statistics.
45. Petitti, D. B., and Freedman, D. A. (2005), "Invited Commentary: How Far Can Epidemiologists Get with Statistical Adjustment?" American Journal of Epidemiology, 162, 415-418.
46. Rossouw, J. E., Anderson, G. L., Prentice, R. L. et al. (2002), "Risks and Benefits of Estrogen Plus Progestin in Healthy Postmenopausal Women: Principal Results from the Women's Health Initiative Randomized Controlled Trial," Journal of the American Medical Association, 288, 321-333.
47. Shapiro, S., Venet, W., Strax, P., and Venet, L. (1988), Periodic Screening for Breast Cancer: The Health Insurance Plan Project and its Sequelae, 1963-1986, Baltimore: Johns Hopkins University Press.
48. Thiébaut, A. C. M. and Bénichou, J. (2004), "Choice of Time-Scale in Cox's Model Analysis of Epidemiologic Cohort Data: A Simulation Study," Statistics in Medicine, 23, 3803-3820.
49. van der Vaart, A. (1998), Asymptotic Statistics, Cambridge, U.K.: Cambridge University Press.
50. Welch, H. G., Woloshin, S., Schwartz, L. M. et al. (2007), "Overstating the Evidence for Lung Cancer Screening: The International Early Lung Cancer Action Program (I-ELCAP) Study," Archives of Internal Medicine, 167, 2289-2295.