Detecting Relative Changes in Multiple Comparisons with an Overall Mean
Detecting Relative Changes in Multiple Comparisons with an Overall Mean
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DOI：
10.1080/00224065.2009.11917760
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发表时间：
2009-01-01
影响因子：
2.5
通讯作者：
Hothron, Ludwig A.
中科院分区：
文献类型：
--
作者：
Djira, Gemechis D.;Hothron, Ludwig A.
平均值分析（ANOM）是一种通过考虑比较之间的相关性，用于与总体平均值进行比较的程序。例如，该程序可用于统计过程控制，以提高产品质量。我们的兴趣是设计推理程序时，其目的是检测百分比的变化，从整体平均在一个正常的单向布局。像ANOM一样，结果可以以图形方式呈现。此外，可以构建调整后的p值和总体均值比值的同步置信区间。由于比率参数是无量纲的，我们证明了所提出的方法的优点，使用的例子比较几个突变体使用相等和不等的相对阈值，并获得一组可比的同时在多个端点的置信区间。
Analysis of means (ANOM) is a procedure used for comparisons with the overall mean by taking the correlations between the comparisons into account. This procedure can be used, for example, in statistical process control to improve product quality. Our interest is to devise inference procedures when the aim is to detect percentage changes from the overall mean in a normal one-way layout. Like ANOM, the results can be presented graphically. Moreover, adjusted p-values and Simultaneous confidence intervals for ratios to the overall mean can be constructed. Because ratio parameters are dimensionless, we demonstrate advantages of the proposed approach using examples for comparing several mutants using equal and unequal relative thresholds and for obtaining a set of comparable simultaneous confidence intervals in multiple endpoints.