Simulation study and implementation of the tests based on weighted Turnbull's estimators for interval-censored data

Research output: Contribution to journalArticle

Abstract

Several tests for comparing k groups of interval-censored data based on Turnbull's estimator of a survival function are compared by a Monte Carlo simulation study. The tests under consideration include the IWD test proposed by Petroni and Wolfe, the score test derived by Finkelstein, and a logrank type test suggested by Sun. With a large sample size and in a two-sample comparison, simulation results suggest that the IWD test is applicable for early and crossing hazard difference alternatives, whereas Finkelstein's score test, Sun's test and the logrank test are slightly more powerful than the IWD tests under late hazard difference alternatives. The IWD test is designed for the two-sample testing problem. With a large sample size and in a k-sample comparison, Finkelstein's score test is slightly better than the other tests under a proportional hazards model, while Sun's test and the logrank test are slightly better than the score test under early and crossing hazard difference alternatives. However, none of the test statistics is uniformly better than the others for the alternatives considered in this paper with both non-overlapping and overlapping interval-censored data.

Original languageEnglish
Pages (from-to)281-294
Number of pages14
JournalStatistics in Medicine
Volume20
Issue number2
DOIs
Publication statusPublished - 2001 Jan 30

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Interval-censored Data
Solar System
Sample Size
Simulation Study
Estimator
Proportional Hazards Models
Score Test
Hazard
Log-rank Test
Alternatives
Sun
Proportional Hazards Model
K-group
Survival Function
Test Statistic
Overlapping
Monte Carlo Simulation

All Science Journal Classification (ASJC) codes

  • Epidemiology

Cite this

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Simulation study and implementation of the tests based on weighted Turnbull's estimators for interval-censored data. / Chi, Yun-Chan.

In: Statistics in Medicine, Vol. 20, No. 2, 30.01.2001, p. 281-294.

Research output: Contribution to journalArticle

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