A Simple Approach to Testing Homogeneity of Order-Constrained Means
检验顺序约束均值齐性的简便方法AI 解读 ↓
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检验顺序约束均值齐性的简便方法
- 研究问题
- 当均值存在部分顺序约束且各组样本量不等时，如何避免似然比检验零分布与统计量计算的实施困难？
- 方法与思路
- 作者基于经典的独立检验合并方法构造一类程序，并通过功效函数比较，评估 Fisher 合并法与似然比检验的表现。
- 材料陈述的贡献
- 摘要称所提程序适用较广且易于实施，Fisher 合并法的功效比较合理，因此可在似然比检验难实施时作为替代。
- 阅读关注点
- 应核对子检验如何构造及保证独立、可处理哪些顺序约束，以及功效比较采用的样本配置和备择假设。
- 阅读边界
- 材料为 OpenAlex 索引摘要，稿件版本未注明；具体构造、适用条件及功效数值未提供，不能断言与似然比检验等效或推断刊本变化。
原文摘要
The likelihood-ratio test for equality of partially ordered means, first proposed by Bartholomew, is known to possess power characteristics that are generally superior to those of competing procedures. A limitation of this test, however, is that the null distribution of the test statistic is heavily dependent on both the specific form of the order restriction and the group sample sizes. It is not readily available for most orderings, especially when the group sample sizes are unequal. Furthermore, computation of the test statistics often involves intricate algorithms. We propose a class of procedures based upon classical methods for combining independent tests. These procedures are generally applicable and easily implemented. A study of the power functions of the competing tests indicates that the power of the test based on Fisher's combination method compares reasonably with that of the likelihood-ratio test. It is concluded that the procedure based on Fisher's combination method is an effective alternative to the likelihood-ratio test, especially when the latter is difficult to implement.