×

Inference in randomized studies with informative censoring and discrete time-to-event endpoints. (English) Zbl 1209.62216

Summary: In this article, we present a method for estimating and comparing the treatment-specific distributions of a discrete time-to-event variable from right-censored data. Our method allows for (1) adjustment for informative censoring due to measured prognostic factors for time to event and censoring and (2) quantification of the sensitivity of the inference to residual dependence between time to event and censoring due to unmeasured factors. We develop our approach in the context of a randomized trial for the treatment of chronic schizophrenia. We perform a simulation study to assess the practical performance of our methodology.

MSC:

62N01 Censored data models
62P10 Applications of statistics to biology and medical sciences; meta analysis
92C50 Medical applications (general)
65C60 Computational problems in statistics (MSC2010)
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Bedford, A characterization of marginal distributions of (possibly dependent) lifetime variables which right censor each other, The Annals of Statistics 25 pp 1622– (1997) · Zbl 0936.62014 · doi:10.1214/aos/1031594734
[2] Chouinard, A Canadian multicenter placebo-controlled study of fixed doses of risperidone and halo-peridol in the treatment of chronic schizophrenia patients, Journal of Clinical Psychopharmacology 13 pp 25– (1993) · doi:10.1097/00004714-199302000-00004
[3] Crowder, On assessing independence of competing risks when failure times are discrete, Lifetime Data Analysis 2 pp 195– (1996) · Zbl 0866.62067 · doi:10.1007/BF00128575
[4] Crowder, A test for independence of competing risks with discrete failure times, Lifetime Data Analysis 3 pp 215– (1997) · Zbl 0888.62040 · doi:10.1023/A:1009696830515
[5] Fisher, Reliability and Biometry: Statistical Analysis of Lifelength pp 303– (1974)
[6] Fleming, Counting Processes and Survival Analysis (1991)
[7] Gill, Censoring and Stochastic Integrals (1980) · doi:10.1111/j.1467-9574.1980.tb00692.x
[8] Gill, Proceedings of the First Seattle Symposium on Survival Analysis pp 255– (1997)
[9] Heitjan, Ignorability and coarse data, The Annals of Statistics 19 pp 2244– (1991) · Zbl 0745.62004 · doi:10.1214/aos/1176348396
[10] Jacobsen, Coarsening at random in general sample spaces and random censoring in continuous time, Annals of Statistics 23 pp 774– (1995) · Zbl 0839.62001 · doi:10.1214/aos/1176324622
[11] Kaplan, Nonparametric estimation from incomplete observations, Journal of the American Statistical Association 53 pp 457– (1958) · Zbl 0089.14801 · doi:10.2307/2281868
[12] Klein, Bounds on net survival probabilities for dependent competing risks, Biometrics 44 pp 529– (1988) · Zbl 0707.62257 · doi:10.2307/2531865
[13] Klein, Survival Analysis: State of the Art pp 99– (1992) · doi:10.1007/978-94-015-7983-4_7
[14] Marder, Risperidone in the treatment of chronic schizophrenia, American Journal of Psychiatry 151 pp 825– (1994) · doi:10.1176/ajp.151.6.825
[15] Peterson, Bounds for a joint distribution function with fixed sub-distribution functions: Application to competing risks, Proceedings of the National Academy of Sciences 73 pp 11– (1976) · Zbl 0326.62031 · doi:10.1073/pnas.73.1.11
[16] Robins, A new approach to causal inference in mortality studies with sustained exposure periods-Application to control of the healthy worker survivor effect (addendum), Computers and Mathematics with Applications 14 pp 917– (1987) · Zbl 0643.62061 · doi:10.1016/0898-1221(87)90237-9
[17] Robins, ASA Proceedings of the Biopharmaceutical Section pp 24– (1993)
[18] Robins, Correcting for noncompliance and dependent censoring in an AIDS clinical trial with inverse probability of censoring weighted (IPCW) log-rank tests, Biometrics 56 pp 779– (2000) · Zbl 1060.62660 · doi:10.1111/j.0006-341X.2000.00779.x
[19] Robins, AIDS Epidemiology: Methodological Issues pp 297– (1992) · doi:10.1007/978-1-4757-1229-2_14
[20] Rotnitzky, Semiparametric regression for repeated outcomes with nonignorable nonresponse, Journal of the American Statistical Association 93 pp 1321– (1998) · Zbl 1064.62520 · doi:10.2307/2670049
[21] Satten, An estimator for the survival function when data are subject to dependent censoring, Lifetime Data Analysis 56 pp 779– (2000)
[22] Scharfstein, Adjusting for nonignorable drop-out using semiparametric nonresponse models (with discussion), Journal of the American Statistical Association 94 pp 1096– (1999) · Zbl 1072.62644 · doi:10.2307/2669923
[23] Slud, Dependent competing risks and summary survival curves, Biometrika 70 pp 643– (1983) · Zbl 0536.62034 · doi:10.1093/biomet/70.3.643
[24] Zheng, A self-consistent estimator of marginal survival functions based on dependent competing risk data and an assumed copula, Communications in Statistics, Part A-Theory and Methods 23 pp 2299– (1994) · Zbl 0825.62215 · doi:10.1080/03610929408831387
[25] Zheng, Estimates of marginal survival for dependent competing risks based on an assumed copula, Biometrika 82 pp 127– (1995) · Zbl 0823.62099 · doi:10.1093/biomet/82.1.127
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.