Methods for comparing the means of two independent log-normal samples

Methods for comparing the means of two independent log-normal samples
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DOI:
10.2307/2533570
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发表时间:
1997-09-01
期刊:
影响因子:
1.9
通讯作者:
Hui, SL
Hui, SL
中科院分区:
数学3区
文献类型:
--
作者:
Zhou, XH;Gao, SJ;Hui, SL

文献摘要

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使用t检验和Wilcoxon检验的标准方法在比较两个偏态对数正态样本的平均值时存在缺陷。在本文中,我们提出了两种新的方法来克服这些不足之处:(1)基于似然的方法和(2)基于自举的方法。我们的模拟研究表明,基于似然的方法是最好的第一类错误率和功率时,数据遵循对数正态分布。
Standard methods of using the t-test and the Wilcoxon test have deficiencies for comparing the means of two skewed log-normal samples. In this paper, we propose two new methods to overcome these deficiencies: (1) a likelihood-based approach and (2) a bootstrap-based approach. Our simulation study shows that the likelihood-based approach is the best in terms of the type I error rate and power when data follow a log-normal distribution.