A Monte Carlo Study of the Power of Some Two-Sample Tests
若干两样本检验功效的蒙特卡洛研究AI 解读 ↓
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AI 根据所提供的论文材料归类：摘要比较通用寿命数据两样本检验的功效，未明确研究因果处理效应或所列其他领域对象。
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若干两样本检验功效的蒙特卡洛研究
- 研究问题
- 在指数和Weibull寿命分布的小样本中，删失与风险比是否恒定会怎样改变多种两样本检验的相对功效？
- 方法与思路
- 作者模拟有无删失的两样本情形，比较F、对数秩和广义Wilcoxon等检验，并由功效曲线估计相对渐近效率。
- 材料陈述的贡献
- 摘要称，指数及恒定风险比情形有利于F类检验；非恒定风险比情形下，两种广义Wilcoxon检验更有功效。
- 阅读关注点
- 应核对删失机制、风险比形态、样本量和显著性水平，并检查功效比较是否考虑各检验实际尺寸的差异。
- 阅读边界
- 依据版本未注明的OpenAlex索引摘要；结论限于所模拟分布和设定，未提供功效数值、蒙特卡洛误差或普遍最优性。
原文摘要
The powers of several two-sample tests are compared by simulation for small samples from exponential and Weibull distributions with and without censoring. The tests considered include the F test, a modification for samples that are from Weibull distributions, Cox's test, Peto & Peto's log rank test, their generalized Wilcoxon test, a modified log rank test, and a generalized Wilcoxon test of Gehan. When samples are from exponential distributions, with or without censoring, the F test is the most powerful followed by two general groupings of tests: first the three non-Wilcoxon tests and then the two Wilcoxon tests. There is little difference in the power characteristics of the tests within each grouping. Estimates of the asymptotic relative efficiencies of the various tests relative to F are obtained from the normal probability plots of the power curves. When the samples are taken from Weibull distributions with constant hazard ratio, the F test is not robust and a modification is used. The results for this case are essentially the same as in the case of exponential distributions, with the modified F test as the most powerful. However, when the hazard ratio is nonconstant, the two generalizations of the Wilcoxon test have more power than the other tests.