Symmetric tests and confidence intervals for survival probabilities and quantiles of censored survival data

被引：14

作者：

Barber, S ^{[1
]}

Jennison, C ^{[1
]}

机构：

[1] Univ Bath, Dept Math Sci, Bath BA2 7AY, Avon, England

来源：

BIOMETRICS | 1999年 / 55卷 / 02期

关键词：

beta distribution; bootstrap sampling; censoring; confidence interval; Greenwood's formula; hypothesis test; Kaplan-Meier estimate; likelihood ratio test; survival data;

D O I：

10.1111/j.0006-341X.1999.00430.x

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

We describe existing tests and introduce two new tests concerning the value of a survival function. These tests may be used to construct a confidence interval for the survival probability at a given time or for a quantile of the survival distribution. Simulation studies show that error rates can differ substantially from their nominal values, particularly at survival probabilities close to zero or one. We recommend our new constrained bootstrap test for its good overall performance.

引用

页码：430 / 436

页数：7

共 26 条

[1]

Abramowitz M., 1972, HDB MATH FUNCTIONS F

[2] APPROXIMATE CONFIDENCE-INTERVALS FOR PROBABILITIES OF SURVIVAL AND QUANTILES IN LIFE-TABLE ANALYSIS [J].

ANDERSON, JR ;

BERNSTEIN, L ;

PIKE, MC .

BIOMETRICS, 1982, 38 (02) :407-416

[3]

[Anonymous], 1926, Her Majesty™s Stationery Office

[4]

BARBER S, 1998, 9802 U BATH

[5]

Barnard G. A., 1963, J R STAT SOC B, V25, P294

[6]

Bickel P. J., 1977, MATH STAT BASIC IDEA

[7]

EFRON B, 1987, J AM STAT ASSOC, V82, P171, DOI 10.2307/2289144

[8] CENSORED-DATA AND THE BOOTSTRAP [J].

EFRON, B .

JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1981, 76 (374) :312-319

[9]

Efron B., 1994, INTRO BOOTSTRAP, V57, DOI DOI 10.1201/9780429246593

[10]

Hall P., 1992, BOOTSTRAP EDGEWORTH

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