范德瓦尔登检验的图解法应用
On Uses of Van der Waerden Test: A Graphical Approach
摘要：
虽然有几种非参数检验可用于检验总体同分布或多组平均值相等的问题，但在正态性假设下，Van der Waerden检验与经典的单向方差分析检验具有渐近相同的效率，其中它依赖于逆正态得分。在本研究中，使用Waerden检验统计量创建一个表格，该表格有助于根据Bonferroni和Benjamini-Hochberg方法推导调整后的p值图表。所提出的形式的采样分布被导出为用于获取初始p值的Γ分布。所提出的方法将提供很好的识别和深入的知识发生的变化。通过仿真研究，分析了该方法在检验规模和功效方面的特点，并与原始Waerden检验和单因素方差分析检验进行了比较。结果是非常实用的价值，因为所提出的方法延伸可见的形状给决策者提供完整的图片和深刻的洞察力的差异发生，保持大小和功率的测试几乎类似于原始Waerden测试，并给出了一个一瞥的各种信息，完成两两比较。为了显示所提出的方法的好处，两个应用程序。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
