Multiple testing procedures based on weighted Kaplan-Meier statistics for right-censored survival data
In clinical trials or drug development studies, researchers are often interested in identifying which treatments or dosages are more effective than the standard one. Recently, several multiple testing procedures based on weighted logrank tests have been proposed to compare several treatments with a...
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| Published in | Statistics in medicine Vol. 24; no. 1; pp. 23 - 35 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Chichester, UK
John Wiley & Sons, Ltd
15.01.2005
Wiley Subscription Services, Inc |
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| Abstract | In clinical trials or drug development studies, researchers are often interested in identifying which treatments or dosages are more effective than the standard one. Recently, several multiple testing procedures based on weighted logrank tests have been proposed to compare several treatments with a control in a one‐way layout where survival data are subject to random right‐censorship. However, weighted logrank tests are based on ranks, and these tests might not be sensitive to the magnitude of the difference in survival times against a specific alternative. Therefore, it is desirable to develop a more robust and powerful multiple testing procedure. This paper proposes multiple testing procedures based on two‐sample weighted Kaplan–Meier statistics, each comparing an individual treatment with the control, to determine which treatments are more effective than the control. The comparative results from a simulation study are presented and the implementation of these methods to the prostate cancer clinical trial and the renal carcinoma tumour study are presented. Copyright © 2004 John Wiley & Sons, Ltd. |
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| AbstractList | In clinical trials or drug development studies, researchers are often interested in identifying which treatments or dosages are more effective than the standard one. Recently, several multiple testing procedures based on weighted logrank tests have been proposed to compare several treatments with a control in a one-way layout where survival data are subject to random right-censorship. However, weighted logrank tests are based on ranks, and these tests might not be sensitive to the magnitude of the difference in survival times against a specific alternative. Therefore, it is desirable to develop a more robust and powerful multiple testing procedure. This paper proposes multiple testing procedures based on two-sample weighted Kaplan-Meier statistics, each comparing an individual treatment with the control, to determine which treatments are more effective than the control. The comparative results from a simulation study are presented and the implementation of these methods to the prostate cancer clinical trial and the renal carcinoma tumour study are presented. [PUBLICATION ABSTRACT] In clinical trials or drug development studies, researchers are often interested in identifying which treatments or dosages are more effective than the standard one. Recently, several multiple testing procedures based on weighted logrank tests have been proposed to compare several treatments with a control in a one-way layout where survival data are subject to random right-censorship. However, weighted logrank tests are based on ranks, and these tests might not be sensitive to the magnitude of the difference in survival times against a specific alternative. Therefore, it is desirable to develop a more robust and powerful multiple testing procedure. This paper proposes multiple testing procedures based on two-sample weighted Kaplan-Meier statistics, each comparing an individual treatment with the control, to determine which treatments are more effective than the control. The comparative results from a simulation study are presented and the implementation of these methods to the prostate cancer clinical trial and the renal carcinoma tumour study are presented.In clinical trials or drug development studies, researchers are often interested in identifying which treatments or dosages are more effective than the standard one. Recently, several multiple testing procedures based on weighted logrank tests have been proposed to compare several treatments with a control in a one-way layout where survival data are subject to random right-censorship. However, weighted logrank tests are based on ranks, and these tests might not be sensitive to the magnitude of the difference in survival times against a specific alternative. Therefore, it is desirable to develop a more robust and powerful multiple testing procedure. This paper proposes multiple testing procedures based on two-sample weighted Kaplan-Meier statistics, each comparing an individual treatment with the control, to determine which treatments are more effective than the control. The comparative results from a simulation study are presented and the implementation of these methods to the prostate cancer clinical trial and the renal carcinoma tumour study are presented. In clinical trials or drug development studies, researchers are often interested in identifying which treatments or dosages are more effective than the standard one. Recently, several multiple testing procedures based on weighted logrank tests have been proposed to compare several treatments with a control in a one‐way layout where survival data are subject to random right‐censorship. However, weighted logrank tests are based on ranks, and these tests might not be sensitive to the magnitude of the difference in survival times against a specific alternative. Therefore, it is desirable to develop a more robust and powerful multiple testing procedure. This paper proposes multiple testing procedures based on two‐sample weighted Kaplan–Meier statistics, each comparing an individual treatment with the control, to determine which treatments are more effective than the control. The comparative results from a simulation study are presented and the implementation of these methods to the prostate cancer clinical trial and the renal carcinoma tumour study are presented. Copyright © 2004 John Wiley & Sons, Ltd. In clinical trials or drug development studies, researchers are often interested in identifying which treatments or dosages are more effective than the standard one. Recently, several multiple testing procedures based on weighted logrank tests have been proposed to compare several treatments with a control in a one-way layout where survival data are subject to random right-censorship. However, weighted logrank tests are based on ranks, and these tests might not be sensitive to the magnitude of the difference in survival times against a specific alternative. Therefore, it is desirable to develop a more robust and powerful multiple testing procedure. This paper proposes multiple testing procedures based on two-sample weighted Kaplan-Meier statistics, each comparing an individual treatment with the control, to determine which treatments are more effective than the control. The comparative results from a simulation study are presented and the implementation of these methods to the prostate cancer clinical trial and the renal carcinoma tumour study are presented. |
| Author | Chi, Yunchan |
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| References_xml | – reference: Gupta SS. Probability integrals of multivariate normal and multivariate t. Annals of Mathematical Statistics 1963; 34:792-828. – reference: Gehan EA. A generalized Wilcoxon test for comparing arbitrarily singly-censored samples. Biometrika 1965; 52:203-223. – reference: Prentice RL. Linear rank tests with right-censored data. Biometrika 1978; 65:165-179. – reference: Byar DP, Green SB. The choice of treatment for cancer patients based on covariate information: application to prostate cancer. Bulletin Du Cancer 1980; 67:477-488. – reference: Pepe MS, Fleming TR. Weighted Kaplan-Meier statistics: a class of distance tests for censored survival data. Biometrics 1989; 45:497-507. – reference: Peto R, Peto J. Asymptotically efficient rank invariant test procedures (with discussion). Journal of Royal Statistical Society, Series A 1972; 135:185-206. – reference: Slepian D. The one-sided barrier problem for Gaussain noise. Bell System Technical Journal 1962; 41:463-501. – reference: Pepe MS, Fleming TR. Weighted Kaplan-Meier statistics: large sample and optimality considerations. Journal of Royal Statistical Society, Series B 1991; 53:342-352. – reference: Schervish MJ. Multivariate Normal Probabilities with error bound. Applied Statistics 1984; 33:81-94. – reference: Aalen OO. Nonparametric inference for a family of counting processes. Annual of Statistics 1978; 6:701-726. – reference: Fleming TR, Harrington DP. A class of hypothesis tests for one and two-samples of censored data. Communication in Statistics 1981; 10:131-139. – reference: Chakraborti S, Desu MM. Linear rank tests for comparing treatments with a control when data are subject to unequal patterns of censorship. Statistical Neerlandica 1991; 45:227-254. – reference: Chen YI. A generalized Steel's procedure for comparing several treatments with a control under random right-censorship. Communication in Statistics Simulation 1994; 23:1-16. – reference: Chen YI. Multiple comparisons in carcinogenesis study with right-censored survival data. Statistics in Medicine 2000; 19:353-367. – reference: Marcus R, Peritz E, Gabriel KR. On closed testing procedures with special reference to ordered analysis of variance. Biometrika 1976; 63:655-660. – reference: Wigginton JM, Komschlies KL, Back TC, Franco JL, Brunda MJ, Wiltrout RH. Administration of interleukin 12 with pulse interleukin 2 and the rapid and complete eradication of murine renal carcinoma. Journal of the National Cancer Institute 1996; 88:38-43. – reference: Byar DP, Corle DK. Selecting optimal treatment in clinical trials using covariate information. Chronic Diseases 1977; 30:445-469. – reference: Nelson W. Theory and applications of hazard plotting for censored failure data. Technometrics 1972; 14:945-965. – reference: Drezner Z. Computation of the Multivariate normal integral. Transactions on Mathematical Software 1992; 19:470-480. – reference: Steel RGD. A multiple comparison rank sum test: treatments versus control. Biometrics 1959; 15:560-572. – reference: Kaplan EL, Meier P. Nonparametric estimator from incomplete observations. Journal of American Statistical Association 1958; 53:457-481. – reference: Mantel N. Evaluation of survival data and two new rank order statistics arising in its consideration. 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publication-title: Bulletin Du Cancer – volume: 34 start-page: 792 year: 1963 end-page: 828 article-title: Probability integrals of multivariate normal and multivariate t publication-title: Annals of Mathematical Statistics – volume: 6 start-page: 701 year: 1978 end-page: 726 article-title: Nonparametric inference for a family of counting processes publication-title: Annual of Statistics – volume: 15 start-page: 560 year: 1959 end-page: 572 article-title: A multiple comparison rank sum test: treatments versus control publication-title: Biometrics – year: 2000 – volume: 45 start-page: 227 year: 1991 end-page: 254 article-title: Linear rank tests for comparing treatments with a control when data are subject to unequal patterns of censorship publication-title: Statistical Neerlandica – volume: 23 start-page: 1 year: 1994 end-page: 16 article-title: A generalized Steel's procedure for comparing several treatments with a control under random right‐censorship publication-title: Communication in Statistics Simulation – volume: 53 start-page: 342 year: 1991 end-page: 352 article-title: Weighted Kaplan–Meier statistics: large sample and optimality considerations publication-title: Journal of Royal Statistical Society, Series B – volume: 65 start-page: 165 year: 1978 end-page: 179 article-title: Linear rank tests with right‐censored data publication-title: Biometrika – volume: 45 start-page: 497 year: 1989 end-page: 507 article-title: Weighted Kaplan–Meier statistics: a class of distance tests for censored survival data publication-title: Biometrics – volume: 50 start-page: 163 year: 1966 end-page: 170 article-title: Evaluation of survival data and two new rank order statistics arising in its consideration publication-title: Cancer Chemotherapy Reports – volume: 135 start-page: 185 year: 1972 end-page: 206 article-title: Asymptotically efficient rank invariant test procedures (with discussion) publication-title: Journal of Royal Statistical Society, Series A – volume: 14 start-page: 945 year: 1972 end-page: 965 article-title: Theory and applications of hazard plotting for censored failure data publication-title: Technometrics – volume: 10 start-page: 131 year: 1981 end-page: 139 article-title: A class of hypothesis tests for one and two‐samples of censored data publication-title: Communication in Statistics – volume: 30 start-page: 445 year: 1977 end-page: 469 article-title: Selecting optimal treatment in clinical trials using covariate information publication-title: Chronic Diseases – volume: 52 start-page: 203 year: 1965 end-page: 223 article-title: A generalized Wilcoxon test for comparing arbitrarily singly‐censored samples publication-title: Biometrika – volume: 19 start-page: 353 year: 2000 end-page: 367 article-title: Multiple comparisons in carcinogenesis study with right‐censored survival data publication-title: Statistics in Medicine – volume: 63 start-page: 655 year: 1976 end-page: 660 article-title: On closed testing procedures with special 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10.1214/aos/1176344247 – volume: 63 start-page: 655 year: 1976 ident: 10.1002/sim.1733-BIB9 publication-title: Biometrika doi: 10.1093/biomet/63.3.655 – volume: 67 start-page: 477 year: 1980 ident: 10.1002/sim.1733-BIB2 publication-title: Bulletin Du Cancer – volume: 41 start-page: 463 year: 1962 ident: 10.1002/sim.1733-BIB4 publication-title: Bell System Technical Journal doi: 10.1002/j.1538-7305.1962.tb02419.x – volume: 50 start-page: 163 year: 1966 ident: 10.1002/sim.1733-BIB15 publication-title: Cancer Chemotherapy Reports – volume: 53 start-page: 457 year: 1958 ident: 10.1002/sim.1733-BIB14 publication-title: Journal of American Statistical Association doi: 10.1080/01621459.1958.10501452 – volume: 53 start-page: 342 year: 1991 ident: 10.1002/sim.1733-BIB13 publication-title: Journal of Royal Statistical Society, Series B doi: 10.1111/j.2517-6161.1991.tb01827.x – volume: 14 start-page: 945 year: 1972 ident: 10.1002/sim.1733-BIB10 publication-title: Technometrics doi: 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| SubjectTerms | Administration, Oral Antineoplastic Agents, Hormonal - administration & dosage Antineoplastic Agents, Hormonal - therapeutic use Carcinoma - drug therapy Clinical trials Computer Simulation Diethylstilbestrol - administration & dosage Diethylstilbestrol - therapeutic use Double-Blind Method Humans Interleukins - therapeutic use Kidney Neoplasms - drug therapy Male Monte Carlo Method multiple testing procedure Prostatic Neoplasms - drug therapy Randomized Controlled Trials as Topic - methods Research methodology right-censored data Survival Analysis weighted Kaplan-Meier statistic |
| Title | Multiple testing procedures based on weighted Kaplan-Meier statistics for right-censored survival data |
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