Sequential analysis of censored survival data from three treatment groups

Research output: Contribution to journalArticle

Abstract

In this paper, we propose a simple means of designing and analyzing a sequential procedure for comparing survival data from three treatments with the goal of eventually identifYing the best treatment. Our procedure consists of the concatenation of two sequential tests, as is suggested by Siegmund (1993, Annals of Statistics 21, 464-483) for instantaneous normal responses. The first sequential test is a global test that attempts to detect an overall treatment effect. If one is found, the least promising treatment is eliminated and a second sequential test attempts to identify the better of the two remaining treatments. Although there are three different information time scales to consider corresponding to each pairwise comparison, we show that under certain conditions they may be approximated by a single time scale. This enables us to gain insight into the problem of censored survival data from the more easily understood case of instantaneous normal data. Also, it eliminates the need for intensive computations and simulations for the design and analysis of the procedure.

Original languageEnglish (US)
Pages (from-to)807-822
Number of pages16
JournalBiometrics
Volume53
Issue number3
DOIs
StatePublished - Sep 1 1997

Fingerprint

Sequential Analysis
Censored Survival Data
Survival Analysis
Sequential Test
Statistics
Instantaneous
Time Scales
testing
Sequential Procedure
Concatenation
Survival Data
Pairwise Comparisons
Treatment Effects
Eliminate
statistics
Simulation

Keywords

  • O'Brien-Fleming test
  • Repeated significance test
  • Sequential test

ASJC Scopus subject areas

  • Agricultural and Biological Sciences(all)
  • Public Health, Environmental and Occupational Health
  • Agricultural and Biological Sciences (miscellaneous)
  • Applied Mathematics
  • Statistics and Probability

Cite this

Sequential analysis of censored survival data from three treatment groups. / Betensky, Rebecca.

In: Biometrics, Vol. 53, No. 3, 01.09.1997, p. 807-822.

Research output: Contribution to journalArticle

@article{17974045c6674fe6bb49a936cec8bea4,
title = "Sequential analysis of censored survival data from three treatment groups",
abstract = "In this paper, we propose a simple means of designing and analyzing a sequential procedure for comparing survival data from three treatments with the goal of eventually identifYing the best treatment. Our procedure consists of the concatenation of two sequential tests, as is suggested by Siegmund (1993, Annals of Statistics 21, 464-483) for instantaneous normal responses. The first sequential test is a global test that attempts to detect an overall treatment effect. If one is found, the least promising treatment is eliminated and a second sequential test attempts to identify the better of the two remaining treatments. Although there are three different information time scales to consider corresponding to each pairwise comparison, we show that under certain conditions they may be approximated by a single time scale. This enables us to gain insight into the problem of censored survival data from the more easily understood case of instantaneous normal data. Also, it eliminates the need for intensive computations and simulations for the design and analysis of the procedure.",
keywords = "O'Brien-Fleming test, Repeated significance test, Sequential test",
author = "Rebecca Betensky",
year = "1997",
month = "9",
day = "1",
doi = "10.2307/2533544",
language = "English (US)",
volume = "53",
pages = "807--822",
journal = "Biometrics",
issn = "0006-341X",
publisher = "Wiley-Blackwell",
number = "3",

}

TY - JOUR

T1 - Sequential analysis of censored survival data from three treatment groups

AU - Betensky, Rebecca

PY - 1997/9/1

Y1 - 1997/9/1

N2 - In this paper, we propose a simple means of designing and analyzing a sequential procedure for comparing survival data from three treatments with the goal of eventually identifYing the best treatment. Our procedure consists of the concatenation of two sequential tests, as is suggested by Siegmund (1993, Annals of Statistics 21, 464-483) for instantaneous normal responses. The first sequential test is a global test that attempts to detect an overall treatment effect. If one is found, the least promising treatment is eliminated and a second sequential test attempts to identify the better of the two remaining treatments. Although there are three different information time scales to consider corresponding to each pairwise comparison, we show that under certain conditions they may be approximated by a single time scale. This enables us to gain insight into the problem of censored survival data from the more easily understood case of instantaneous normal data. Also, it eliminates the need for intensive computations and simulations for the design and analysis of the procedure.

AB - In this paper, we propose a simple means of designing and analyzing a sequential procedure for comparing survival data from three treatments with the goal of eventually identifYing the best treatment. Our procedure consists of the concatenation of two sequential tests, as is suggested by Siegmund (1993, Annals of Statistics 21, 464-483) for instantaneous normal responses. The first sequential test is a global test that attempts to detect an overall treatment effect. If one is found, the least promising treatment is eliminated and a second sequential test attempts to identify the better of the two remaining treatments. Although there are three different information time scales to consider corresponding to each pairwise comparison, we show that under certain conditions they may be approximated by a single time scale. This enables us to gain insight into the problem of censored survival data from the more easily understood case of instantaneous normal data. Also, it eliminates the need for intensive computations and simulations for the design and analysis of the procedure.

KW - O'Brien-Fleming test

KW - Repeated significance test

KW - Sequential test

UR - http://www.scopus.com/inward/record.url?scp=0030817623&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0030817623&partnerID=8YFLogxK

U2 - 10.2307/2533544

DO - 10.2307/2533544

M3 - Article

C2 - 9333347

AN - SCOPUS:0030817623

VL - 53

SP - 807

EP - 822

JO - Biometrics

JF - Biometrics

SN - 0006-341X

IS - 3

ER -