论文标题
关于范德沃登测试的使用:一种图形方法
On Uses of Van der Waerden Test: A Graphical Approach
论文作者
论文摘要
尽管在多个组问题中可用于测试种群相同的分布或同等方法的几项非参数测试,但范德沃登测试在正态性假设下的经典单向方差测试分析均无效率,其中取决于逆正常得分。在这项研究中,Waerden测试统计量用于创建一种形式,该形式可以根据Bonferroni和Benjamini-Hochberg方法来得出调整后的P值图表。提出的形式的采样分布得出作为获取初始p值的伽马分布。提出的方法将在发生变化的地方提供良好的认识和深入的知识。执行仿真研究以研究拟议方法的特征在测试的大小和功率方面,并与原始Waerden测试和方差测试的单向分析进行了比较。结果具有很大的实用值,因为所提出的方法将可见的形状伸展到决策者,以提供差异发生,测试的大小和功率几乎与原始Waerden测试相似的完整图像和深刻见解,并瞥见了各种信息,以完成成对比较。为了显示拟议方法的好处,提出了两种应用。
Although several nonparametric tests are available for testing population identical distributions or equal means in multiple groups problem, the Van der Waerden test has asymptotically the same efficiency as the classical one-way analysis of variance test under normality assumption where it depends on inverse normal score. In this study the Waerden test statistic is used to create a form that assists in deriving adjusted p values chart in terms of Bonferroni and Benjamini-Hochberg methods. The sampling distribution of the proposed form is derived as a gamma distribution that utilized to acquire initial p values. The proposed method will provide well recognition and deep knowledge where the changes occur. Simulation study is executed to study the characteristic of the proposed method in terms of size and power of the test and compared with original Waerden test and one-way analysis of variance test. The results are of great practical values since the proposed method stretches visible shape to decision maker to gives complete picture and deep insight where the differences happen, keep size and power of the test almost similar to original Waerden test and gives a glimpse of various information that completes the pairwise comparisons. To show the benefits of the proposed method, two applications are presented.