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 language | English (US) |
|---|---|
| Pages (from-to) | 807-822 |
| Number of pages | 16 |
| Journal | Biometrics |
| Volume | 53 |
| Issue number | 3 |
| DOIs | |
| State | Published - Sep 1 1997 |
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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 journal › Article
}
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 -