| 基于似然比的多步多重比较检验(英文) |
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| 引用本文： | 勾建伟,王金德.基于似然比的多步多重比较检验(英文)[J].南京大学学报(自然科学版),2008,25(2):131-140. |
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| 作者姓名： | 勾建伟 王金德 |
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| 作者单位： | 南京大学数学系; |
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| 基金项目： | Supported by NSFC Project (No.10671089);;SRFDP (No.20060254006) |
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| 摘 要： | 似然比检验是假设检验中一个重要方法,不少最优检验都是似然比检验.文中对带有对照组的多重比较问题提出了一种新的逐步检验法,该检验法正是建立在似然比检验的基础上的.同原有的方法相比,它既能对带对照组的多重比较问题作出更详细的检验结果,推断出究竟哪些新的处理方法效果真正优于对照组的;而且这种逐步检验法只需要至多k-1次假设检验,而它的热却逼近需要2k-1次检验的完全检验法的势.
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| 关 键 词： | 带对照组的多重比较 (?)分布 似然比检验 总体错误推断率 势函数 |
A STEP-DOWN TEST BASED ON THE LIKELIHOOD RATIO FOR MULTIPLE COMPARISONS WITH A CONTROL |
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| Gou Jianwei,Wang Jinde.A STEP-DOWN TEST BASED ON THE LIKELIHOOD RATIO FOR MULTIPLE COMPARISONS WITH A CONTROL[J].Journal of Nanjing University: Nat Sci Ed,2008,25(2):131-140. |
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| Authors: | Gou Jianwei Wang Jinde |
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| Institution: | College of Information Science and Technology;Nanjing Forestry University;210037;Nanjing PRC/Dept.of Math.;Nanjing University;210093;Nanjing PRC;Dept.of Math.;Nanjing PRC |
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| Abstract: | Likelihood ratio is very powerful for hypothesis testing.In this paper we propose a new test procedure based on LRT for multiple comparisons with a control.It not only gives a more detailed conclusion to identify better treatments,such as which of these treatments are better than the control,but also needs only at most k-1 hypothesis tests.Moreover the power approximates the closed testing procedure's. |
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| Keywords: | multiple comparisons with a control chi-bar-squared distribution likeli-hood ratio testing family-wise error rate power function |
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