Adjusted Kaplan-Meier estimator and log-rank test with inverse probability of treatment weighting for survival data

Statistics in Medicine

Volumn 24, Issue 20, 2005, Pages 3089-3110

  Xie, Jun ^a   Liu, Chaofeng ^b  

^a PURDUE UNIVERSITY   (United States)

^b ELI LILLY AND COMPANY   (United States)

Author keywords

Adjusted Kaplan Meier estimator; IPTW; Survival function; Weighted log rank test

Indexed keywords

PENICILLAMINE;

ARTICLE; BIOSTATISTICS; CLINICAL TRIAL; FEMALE; HUMAN; INFECTION RISK; INTERMETHOD COMPARISON; KAPLAN MEIER METHOD; MALE; MATHEMATICAL COMPUTING; PRIMARY BILIARY CIRRHOSIS; PROBABILITY; RACE DIFFERENCE; REINFECTION; RISK ASSESSMENT; SEX DIFFERENCE; SEXUALLY TRANSMITTED DISEASE; STATISTICAL ANALYSIS; STATISTICAL SIGNIFICANCE; SURVIVAL RATE;

ADULT; AFRICAN CONTINENTAL ANCESTRY GROUP; AGED; CHLAMYDIA INFECTIONS; COMPUTER SIMULATION; DATA INTERPRETATION, STATISTICAL; EUROPEAN CONTINENTAL ANCESTRY GROUP; FEMALE; GONORRHEA; HUMANS; LIKELIHOOD FUNCTIONS; LIVER CIRRHOSIS, BILIARY; MALE; MIDDLE AGED; MONTE CARLO METHOD; PENICILLAMINE; RANDOMIZED CONTROLLED TRIALS; SEX FACTORS; SURVIVAL ANALYSIS;

EID: 27144479267     PISSN: 02776715     EISSN: None     Source Type: Journal    
DOI: 10.1002/sim.2174     Document Type: Article

References (24)

1. Cox DR. Regression models and life-tables (with discussion). Journal of the Royal Statistical Society B 1972; 24:187-220.
2. Aalen OO. A linear regression for the analysis of life times. Statistics in Medicine 1989; 8:907-925.
3. Thomsen BL, Keiding N. A note on the calculation of expected survival, illustrated by the survival of liver transplant patients. Statistics in Medicine 1991; 10:733-738.
4. Therneau TM, Grambsch PM. Modeling Survival Data: Extending the Cox Model. Springer: New York, 2000.
5. Hankey BF, Myers MH. Evaluating differences in survival between two groups of patients. Journal of the Chronic Diseases 1971; 24:523-531.
6. Cupples LA, Gagnon DR, Ramaswamy R, D'Agostino RB. Age-adjusted survival curves with application in the Framingham study. Statistics in Medicine 1995; 14:1731-1744.
7. Amato DA. A generalized Kaplan-Meier estimator for heterogeneous populations. Communication in Statistics-Theory and Methods 1988; 17:263-286.
8. Nieto FJ, Coresh J. Adjusting survival curves for confounders: a review and a new method. American Journal of Epidemiology 1996; 143:1068-1069.
9. Winnett A, Sasieni P. Adjusted Nelson-Aalen estimates with retrospective matching. Journal of the American Statistical Association 2002; 97:245-256.
10. Galimberti S, Sasieni P, Valsecchi MG. A weighted Kaplan-Meier estimator for matched data with application to the comparison of chemotherapy and bone-marrow transplant in leukaemia. Statistics in Medicine 2002; 21:3847-3864.
11. Horvitz DG, Thompson DJ. A generalization of sampling without replacement from a finite universe. Journal of the American Statistical Association 1951; 47:663-685.
12. Zhao LP, Lipsitz S. Design and analysis of two-stage studies. Statistics in Medicine 1992; 11:769-782.
13. Wang CY, Wang S, Zhao LP, Ou ST. Weighted semiparametric estimation in regression analysis with missing covariate data. Journal of the American Statistical Association 1997; 92:512-525.
14. Dawson R, Lavori RW. Using inverse weighting and predictive inference to estimate the effects of time-varying treatments on the discrete-time hazard. Statistics in Medicine 2002; 21:1641-1661.
15. Lunceford JK, Davidian M. Stratification and weighting via the propensity score in estimation of causal treatment effects: a comparative study. Statistics in Medicine 2004; 23:2937-2960.
16. Rosenbaum PR, Rubin DB. The central role of the propensity score in observational studies for causal effects. Biometrika 1983; 70:41-55.
17. Kaplan EL, Meier P. Nonparametric estimation from incomplete observations. Journal of the American Statistical Association 1958; 53:457-481.
18. Kalbfleisch JD, Lawless JF. Likelihood analysis of multi-state models for disease incidence and mortality. Statistics in Medicine 1988; 7:149-160.
19. Flanders WD, Greenland S. Analytic methods for two-stage case-control studies and other stratified designs. Statistics in Medicine 1991; 10:739-747.
20. Andersen PK, Borgan O, Gill RD, Keiding N. Statistical Models Based on Counting Processes. Springer: New York, 1993; 257-259.
21. Klein JP, Moeschberger ML. Survival Analysis: Techniques for Censored and Truncated Data (2nd edn). Springer: New York, 2003.
22. Dickson ER, Grambsch PM, Fleming TR, Fisher LD, Langworthy A. Prognosis in primary biliary cirrhosis: model for decision making. Hepatology 1989; 10:1-7.
23. Fleming TR, Harrington DP. Counting Processes and Survival Analysis. Wiley: New York, 1991.
24. Peto R, Peto J. Asymptotically efficient rank invariant test procedures. Journal of the Royal Statistical Society A 1972; 135:185-207.