A Test Of Symmetry
A Test Of Symmetry
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对称性检验
DOI：
10.22237/jmasm/1036109880
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发表时间：
2002
影响因子：
--
通讯作者：
A. Padmanabhan
中科院分区：
文献类型：
--
作者：
A. R. Othman;H. Keselman;R. Wilcox;K. Fradette;A. Padmanabhan
当数据在形式上不正常时，用于评估治疗组平等的经典程序很容易导致第一类错误率和检测效果的能力出现扭曲。用修剪后的均值替换常用均值可降低 I 类错误率并提高检测效果的灵敏度。如果数据倾斜，比如说向右，那么就假设向右的不对称修剪应该比数据分布两端的对称修剪更好地控制 I 类错误率和检测效果的能力。 Keselman、Wilcox、Othman 和 Fradette（2002）发现，Babu、Padmanabhan 和 Puri（1999）的对称性检验与比较对称或不对称确定均值的异方差统计相结合，即使在数据极其异质且形式非常不正态的情况下，也能提供出色的 I 类误差控制。在本文中，我们对 Babu 等人进行了详细讨论。程序以及演示其使用的数值示例。
When data are nonnormal in form classical procedures for assessing treatment group equality are prone to distortions in rates of Type I error and power to detect effects. Replacing the usual means with trimmed means reduces rates of Type I error and increases sensitivity to detect effects. If data are skewed, say to the right, then it has been postulated that asymmetric trimming, to the right, should be better at controlling rates of Type I error and power to detect effects than symmetric trimming from both tails of the data distribution. Keselman, Wilcox, Othman and Fradette (2002) found that Babu, Padmanabhan and Puri's (1999) test for symmetry when combined with a heteroscedastic statistic which compared either symmetrically or asymmetrically determined means provided excellent Type I error control even when data were extremely heterogeneous and very nonnormal in form. In this paper, we present a detailed discussion of the Babu et al. procedure as well as a numerical example demonstrating its use.
DOI：
10.1016/b978-0-12-386908-1.00037-9
发表时间：
2018-11
期刊：
Wiley Series in Probability and Statistics
影响因子：
--
作者：
Bruce E. Blaine
通讯作者：
Bruce E. Blaine