COMPARISON OF 4 TESTS FOR EQUALITY OF SURVIVAL CURVES IN THE PRESENCE OF STRATIFICATION AND CENSORING

COMPARISON OF 4 TESTS FOR EQUALITY OF SURVIVAL CURVES IN THE PRESENCE OF STRATIFICATION AND CENSORING
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DOI:
10.2307/2335160
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发表时间:
1979-01-01
期刊:
影响因子:
2.7
通讯作者:
BYAR, DP
BYAR, DP
中科院分区:
数学2区
文献类型:
--
作者:
LININGER, L;GAIL, MH;BYAR, DP

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蒙特卡罗实验研究了用于分析分层删失人类生存数据的4个检验的小样本行为。广义Gehan和Mantel-Haenszel统计量的大小接近标称水平α。= 0.05。对于每层少于32个观察值,考克斯偏似然比统计量的观察值大小通常为0.065,对于较大的样本量,则降至接近标称水平。连续性校正的Mantel-Haenszel统计量始终是保守的,观察到的大小通常低于0.035,直到每个层的总观察值超过32。广义Gehan统计量只是稍微弱于其他统计量对比例风险的替代研究。这些统计数据的效力主要取决于观察到的死亡总数,除此之外,几乎不受审查程度或阶层数量的影响。
Monte Carlo experiments investigated the small sample behavior of 4 tests used to analyze stratified censored human survival data. The size of the generalized Gehan and Mantel-Haenszel statistics were near nominal level .alpha. = 0.05. The observed size of the Cox partial likelihood ratio statistic was typically 0.065 for fewer than 32 observations per stratum and fell to near nominal levels for larger sample sizes. The continuity corrected Mantel-Haenszel statistic was consistently conservative, with observed size often lower than 0.035, until total observations exceeded 32 per stratum. The generalized Gehan statistic was only slightly less powerful than the other statistics against the proportional hazards alternatives studied. The power of these statistics depended mainly on the total number of deaths observed and the otherwise little affected by the degree of censoring or the number of strata.