Testing the equality of two survival functions with right truncated data

Yun-Chan Chi, Wei Yann Tsai, Chia Ling Chiang

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

To compare the survival functions based on right-truncated data, Lagakos et al. proposed a weighted logrank test based on a reverse time scale. This is in contrast to Bilker and Wang, who suggested a semi-parametric version of the Mann-Whitney test by assuming that the distribution of truncation times is known or can be estimated parametrically. The approach of Lagakos et al. is simple and elegant, but the weight function in their method depends on the underlying cumulative hazard functions even under proportional hazards models. On the other hand, a semi-parametric test may have better efficiency, but it may be sensitive to misspecification of the distribution of truncation times. Therefore, this paper proposes a non-parametric test statistic based on the integrated weighted difference between two estimated survival functions in forward time. The comparative results from a simulation study are presented and the implementation of these methods to a real data set is demonstrated.

Original languageEnglish
Pages (from-to)812-827
Number of pages16
JournalStatistics in Medicine
Volume26
Issue number4
DOIs
Publication statusPublished - 2007 Feb 20

Fingerprint

Truncated Data
Survival Function
Equality
Truncation
Testing
Mann-Whitney test
Cumulative Hazard Function
Log-rank Test
Proportional Hazards Model
Misspecification
Non-parametric test
Weight Function
Test Statistic
Reverse
Time Scales
Nonparametric Statistics
Proportional Hazards Models
Simulation Study
Weights and Measures

All Science Journal Classification (ASJC) codes

  • Epidemiology
  • Statistics and Probability

Cite this

Chi, Yun-Chan ; Tsai, Wei Yann ; Chiang, Chia Ling. / Testing the equality of two survival functions with right truncated data. In: Statistics in Medicine. 2007 ; Vol. 26, No. 4. pp. 812-827.
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Testing the equality of two survival functions with right truncated data. / Chi, Yun-Chan; Tsai, Wei Yann; Chiang, Chia Ling.

In: Statistics in Medicine, Vol. 26, No. 4, 20.02.2007, p. 812-827.

Research output: Contribution to journalArticle

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