The Power Function of the Generalized Likelihood Ratio Test for Analyzing Unreplicated Factorial Designs(English)
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摘要: 在试验误差服从正态分布的条件下,为Al-Shiha和Yang[1]提出的正交饱和设计逐步检验法确定了一个势函数. 该方法是由正态假设下的广义似然比检验统计量导出的, 原先只能通过随机模拟来与其他方法比较.通过本文导出的势函数解析式,使得有可能将该方法与著名的Lenth方法等进行精确比较.Abstract: This paper determines, under the condition that errors are normally distributed, the exact power function of the generalized likelihood ratio test proposed by Al-Shiha and Yang[1] for analyzing unreplicated factorial experiments. And then makes it possible to compare the powers of different test methods.
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