Hodges-Lehmann检验的应用及其SAS编程

论文编号:XXLW064 论文字数:10578,页数:28

摘  要

 Hodges-Lehmann检验是解决区组设计检验问题常用到的一种非参数统计方法，它是作为Friedman检验的改进而引入的。由于消除了各个区组之间的差异，该检验有了独特的优点，并在诸多领域中得到了广泛的应用。
 本文简略地介绍了Friedman检验，在此基础上详述了Hodges-Lehmann检验。分调整后的残差无结和有结两种情况讨论了Hodges-Lehmann检验过程，并对本文中用到的SAS语句和运行结果做出了说明。利用案例分析的方法，以SAS软件编程获取结果，比较了Friedman检验和Hodges-Lehmann检验，从而更明显地突出Hodges-Lehmann检验的优点。 Hodges-Lehmann检验的应用十分广泛，本文详述了其在市场研究中的应用，分析结果表明不同的销售市场对平均销售单价存在显著影响；最后阐述了该检验在涤棉混纺工艺领域的应用。
 
关键字：Friedman检验  Hodges-Lehmann检验  优点  应用  SAS

Abstract
    Hodges-Lehmann test is a nonparametric statistics method ,which is often used in solveing block design test problem.It is introduced as improvement of Friedman test.As eliminating differences of each block,this test owns particular merit and is applied widely in various fields.
    This article introduces simply Friedman test,and on this base expounds in detail Hodges-Lehmann test .And in two cases of tie and no tie for aligned residual ,we discuss the course of Hodges-Lehmann test,then account for the SAS programs which are used in this article and the result after running SAS.we compare Friedman test and Hodges-Lehmann test in the way of examples analysis , programming with SAS to get result,thus highlight Hodges-Lehmann test particular merit significantly. The application of Hodges-Lehmann test is very abroad ,this article introduces in detail that the test is applied in market research,the analytical result indicates that different sale markets exist significant influence on average sale single price.Finally,we introduce this test another application in polyester-cotton blended process.

Key words：Friedman test； Hodges-Lehmann test； merit； application； SAS  

目  录
摘  要 i
Abstract ii
目  录 iii
第一章   前  言 1
第二章   Hodges-Lehmann检验理论 2
  2.1  基本概念 2
  2.2  Friedman检验 2
 2.2.1基本假设 2
 2.2.2检验过程 3
  2.3  Hodges-Lehmann检验 4
 2.3.1基本假设 4
 2.3.2检验过程 4
第三章   检验中SAS程序说明 7
第四章   Hodges-Lehmann检验的优点 9
第五章   Hodges-Lehmann检验的应用 14
  5.1  Hodges-Lehmann检验在市场研究中的应用 14
     5.1.1应用说明 14
     5.1.2 Hodges-Lehmann检验分析 15
  5.2  Hodges-Lehmann检验在涤棉混纺工艺中的应用 16
     5.2.1取消涤纶预并前后混纺比分析 16
     5.2.2取消涤纶预并前后成纱CV值分析 17
第六章   结束语 19
致  谢 20
参考文献 21
附  录 22

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