Combining one-sided and two-sided confidence interval procedures for successive comparisons of ordered treatment effects
Combining one-sided and two-sided confidence interval procedures for successive comparisons of ordered treatment effects
复制标题
DOI：
10.1002/1521-4036(200109)43:5
复制
发表时间：
2001-09
影响因子：
1.7
通讯作者：
P. N. Somerville;Tetsuhisa Miwa;Wei Liu;A. Hayter
中科院分区：
文献类型：
--
作者：
P. N. Somerville;Tetsuhisa Miwa;Wei Liu;A. Hayter
Lee和Spurrier（1995）提出了在有序处理之间进行连续比较的单侧和双侧置信区间程序。他们的程序在处理可以假设满足简单排序的问题时有重要的应用，例如药物剂量水平递增的序列。双侧程序提供了连续治疗之间差异的上限和下限，而单侧程序仅提供了这些差异的下限。然而，单侧程序允许更清晰的推论，关于哪些治疗可以被宣布为比他们以前的治疗更好。在本文中，我们应用Hayter，Miwa和Liu（2000）中得到的结果来开发一种新的方法，该方法结合了单侧方法和双侧方法的优点。这种新的程序保持了单侧程序的推理灵敏度，同时还提供了连续治疗之间差异的上限和下限。需要一些新的临界点，这些临界点被制成表格用于样本量都相等的平衡情况。最后通过实例说明了新方法的应用。
Lee and Spurrier (1995) present one-sided and two-sided confidence interval procedures for making successive comparisons between ordered treatments. Their procedures have important applications for problems where the treatments can be assumed to satisfy a simple ordering, such as for a sequence of increasing dose-levels of a drug. The two-sided procedure provides both upper and lower bounds on the differences between successive treatments, whereas the one-sided procedure only provides lower bounds on these differences. However, the one-sided procedure allows sharper inferences regarding which treatments can be declared to be better than their previous ones. In this paper we apply the results obtained in Hayter, Miwa, and Liu (2000) to develop a new procedure which combines the good aspects of both the one-sided and the two-sided procedures. This new procedure maintains the inferential sensitivity of the one-sided procedure while also providing both upper and lower bounds on the differences between successive treatments. Some new critical points are needed which are tabulated for the balanced case where the sample sizes are all equal. The application of the new procedure is illustrated with an example.