华东师范大学学报(自然科学版) ›› 2005, Vol. 2005 ›› Issue (5/6): 119-125.

• 数学 统计学 • 上一篇    下一篇

正交饱和设计中广义似然比检验的势函数(英)

陈颖   

  1. 华东师范大学统计系，上海200062
  • 收稿日期:2003-11-11 修回日期:2004-01-13 出版日期:2005-12-31 发布日期:2005-12-31
  • 通讯作者: 陈颖

The Power Function of the Generalized Likelihood Ratio Test for Analyzing Unreplicated Factorial Designs(English)

CHEN Ying   

  1. Department of Statistics, East China Normal University, Shanghai 200062, China
  • Received:2003-11-11 Revised:2004-01-13 Online:2005-12-31 Published:2005-12-31
  • Contact: CHEN Ying

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.

关键词: 正交饱和设计, 广义似然比检验, 精确势函数, 正交饱和设计, 广义似然比检验, 精确势函数

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.

Key words: generalized likelihood ratio test, exact power function, unreplicated factorial, generalized likelihood ratio test, exact power function

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