A general weighted two-way dissimilarity coefficient

被引:11
作者
Cox, TF [1 ]
Cox, MAA
机构
[1] Newcastle Univ, Dept Stat, Newcastle Upon Tyne NE1 7RU, Tyne & Wear, England
[2] Newcastle Univ, Dept Management Studies, Newcastle Upon Tyne NE1 7RU, Tyne & Wear, England
关键词
dissimilarity coefficient; mixed data; multidimensional scaling; proximity; similarity coefficient; two-mode data;
D O I
10.1007/s003570000006
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Choosing dissimilarity/similarity (proximity) measures for mixed data is not always easy. Cower (1971) has suggested a measure which has become popular in practical applications. This paper suggests an extension to his measure for calculating pairwise dissimilarities for individuals (objects) which also simultaneously produces a set for the variables. The definition of the dissimilarities incorporates the automatic weighting of individuals and variables. The dissimilarities can be used for multidimensional scaling or other statistical techniques that use proximities for both the individuals and variables, with the weights providing information on the relative contribution of each individual and variable in the analysis. The new method is tested by a simulation exercise and then used successfully on three empirical data sets.
引用
收藏
页码:101 / 121
页数:21
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