A Simple Method of Multiple Comparisons of Means
A Simple Method of Multiple Comparisons of Means
复制标题
均值多重比较的简单方法
DOI：
10.1080/01621459.1978.10480084
复制
发表时间：
1978
影响因子：
3.7
通讯作者：
K. Ruben Gabriel
中科院分区：
文献类型：
--
作者：
K. Ruben Gabriel
摘要 针对大小不等的样本，提出了一种对均值进行多重比较的简单程序。该程序因其简单性和图形显示而具有吸引力，使实验者能够一目了然地评估所有感兴趣的比较。使用的临界点是学生化最大模量的临界点，并且涉及两个不等式：保守概率不等式和激进代数不等式。显然，除非样本量的不平衡非常大，否则两个不平等的联合效应是保守的。对于同等大小的样本，可以使用学生化范围的临界点，并且该过程等同于 Tukey 著名的 T 方法。
Abstract A simple procedure for multiple comparisons of means is proposed for unequally sized samples. The procedure is attractive for its simplicity and for a graphical display which allows the experimenter to evaluate all comparisons of interest at a glance. The critical points used are those of the Studentized Maximum Modulus and two inequalities are involved: a conservative probability inequality and a radical algebraic inequality. Apparently, the joint effect of the two inequalities is conservative unless the imbalance in sample sizes is very large. For equally sized samples one can use critical points of the Studentized Range and the procedure becomes equivalent to Tukey's well-known T-method.