On Testing Against Ordered Alternatives in Analysis of Variance Models
提出一种比累积卡方方法更简单的统计量，用于方差分析模型中对有序备择假设进行检验，其功效与累积卡方相当，且两者均为贝叶斯检验。
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.