An algorithm for a letter-based representation of all-pairwise comparisons
An algorithm for a letter-based representation of all-pairwise comparisons
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DOI：
10.1198/1061860043515
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发表时间：
2004-06-01
影响因子：
2.4
通讯作者：
Piepho, HP
中科院分区：
文献类型：
--
作者：
Piepho, HP
一组t处理或组之间的所有成对比较是应用统计中最常见的任务之一。统计软件的用户习惯于熟悉的线显示，其中没有显著差异的治疗由共同的线或字母连接。行显示的可用性主要限于差异设置的平衡分析。这种有限的可用性与需要多重比较的统计方法和模型的多样性截然不同。本文描述了一种通用方法，通过熟悉的字母显示以图形方式表示t治疗的任何t（t - 1）/2所有成对显著性声明（p值），无论基础数据结构或用于比较的统计方法如何，该方法都适用。该方法重现了平衡方差分析中常见的直线显示。它的广泛适用性证明了国际多环境小麦产量试验和捕鱼调查的数据。
All-pairwise comparisons among a set of t treatments or groups are one of the most frequent tasks in applied statistics. Users of statistical software are accustomed to the familiar lines display, in which treatments that do not differ significantly, are connected by a common line or letter. Availability of the lines display is restricted mainly to the balanced analysis of variance setup. This limited availability is at stark variance with the diversity of statistical methods and models, which call for multiple comparisons. This article describes a general method for graphically representing any set of t(t - 1)/2 all-pairwise significance statements (p values) for t treatments by a familiar letter display, which is applicable regardless of the underlying data structure or the statistical method used for comparisons. The method reproduces the familiar lines display in case of the balanced analysis of variance. Its broad applicability is demonstrated using data from an international multienvironment wheat yield trial and from a fish catching survey.