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Q型系统聚类分析中的统计检验问题 被引量:17

Discussion on Statistical Test System of Q-mode Hierarchical Cluster Analysis
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摘要 Q型系统聚类分析已经越来越成为人们广泛应用的多元统计分析方法。然而在应用中盲目套用系统聚类分析方法的情况很多,并对聚类分析方法的适用性、聚类过程的合理性、聚类结果的有效性等问题分析重视不够,更谈不上对聚类分析进行统计检验。因此,为了更好地应用Q型系统聚类分析,就应对Q型系统聚类分析结果进行统计检验并建立统计检验体系。Q型系统聚类分析统计检验体系主要包括:Q型系统聚类分析结果的有效性检验;聚类分析类(组)数选择合理性检验;聚类变量的显著性检验。 As a method of multivariate statistical analysis, Q- mode hierarchical cluster analysis has always been widely applied to many fields. However, there're many problems in the application of such an approach, that paying little attention to the fitness of Q - mode hierarchical cluster analysis, the reasonableness of clustering process, efficiency of clustering results and always using it blindly, not to mention the statistical testing. In order to use hierarchical cluster analysis correctly, it's necessary to make statistical test for hierarchical cluster analysis, and establishment statistical test system of hierarchical cluster analysis. Statistical test system of hierarchical cluster analysis include that efficiency test of hierarchical cluster analysis, test of how many groups is acceptable, and test of significance for variables in the hierarchical cluster analysis.
作者 傅德印
机构地区 兰州商学院
出处 《统计与信息论坛》 2007年第3期10-14,共5页 Journal of Statistics and Information
关键词 Q型系统聚类分析 假设检验 威尔克斯统计量 Q-mode hierarchical cluster analysis test of hypothesis Wilks statistic
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参考文献4

  • 1Cluster Analysis. Electronic Statistics Textbook[M/OL]. StatSoft, Inc., 1984 - 2005. http://www. statsoft. oom/textbook/ stcluan. html.
  • 2RICHARD A Johnson, DEAN W Wichem. Applied Multivariate Statistical Analysis[M]. 4th Ed. Englewood Cliffs, N. Prentice- Hall, Inc, 1998.
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  • 4罗积玉,刑瑛.经济统计分析及预测[M].北京:清华大学出版社,1987,8:109~206.

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