On testing against ordered alternatives in analysis of variance models
On testing against ordered alternatives in analysis of variance models
复制标题
在方差模型分析中针对有序替代方案进行测试
DOI：
10.1093/biomet/73.2.493
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发表时间：
1986
期刊：
影响因子：
2.7
通讯作者：
V. Nair
中科院分区：
文献类型：
--
作者：
V. Nair
Hirotsu（1979）和Takeuchi & Hirotsu（1982）已经证明，累积卡方检验法在各种统计模型中对有序备选项具有良好的检验能力。本文提出了一个相关的，但更简单的统计。它被证明有可比的权力对有序的替代品方差分析模型。该统计量的分量对于检验与可用傅立叶余弦级数表示的零假设的偏差是最佳的。新的统计量和累积卡方统计量也被证明是贝叶斯检验。
SUMMARY The cumulative chi-squared method has been shown by Hirotsu (1979) and by Takeuchi & Hirotsu (1982) to have good power for testing against ordered alternatives in various statistical models. In this paper a related but simpler statistic is proposed. It is shown to have comparable power against ordered alternatives in analysis of variance models. The components of the statistic are optimal for testing deviations from the null hypothesis expressible in terms of Fourier cosine series. Both the new statistic and the cumulative chi-squared statistic are also shown to be Bayes tests.