Structural Representation of Categorical Data and Cluster Analysis Through Filters

作者: Shizuhiko Nishisato

DOI: 10.1007/978-3-319-01264-3_7

关键词:

摘要: Representation of categorical data by nominal measurement leaves the entire information intact, which is not case with widely used numerical or pseudo-numerical representation such as Likert-type scoring. This aspect first explained, and then we turn our attention to analysis nominally represented data. For a large number variables, one typically resorts dimension reduction, its necessity often greater than continuous In spite this, Nishisato S, Clavel JG (Behaviormetrika 57:15–32, 2010) proposed an approach diametrically opposite dimension-reduction approach, for they advocate use doubled hyper-space accommodate both row variables column two-way in common space. The rationale space can be vindicate validity Carroll-Green-Schaffer scaling (Carroll JD, Green PE, Schaffer CM (1986) J Mark Res 23(3):271–280). current paper will introduce simple procedure hyper-dimensional configuration data, called cluster through filters. A example presented show clear contrast between total analysis. There no doubt that preferred on two grounds: results are factual summary multidimensional configuration, practical.

参考文章(17)
Michael Greenacre, Jorg Blasius, Multiple Correspondence Analysis and Related Methods Chapman and Hall/CRC. ,(2006) , 10.1201/9781420011319
Shizuhiko Nishisato, Josée G. Clavel, Total Information Analysis: Comprehensive Dual Scaling Behaviormetrika. ,vol. 37, pp. 15- 32 ,(2010) , 10.2333/BHMK.37.15
Peter G. M. van der Heijden, Jan de Leeuw, Correspondence analysis used complementary to loglinear analysis Psychometrika. ,vol. 50, pp. 429- 447 ,(1985) , 10.1007/BF02296262
Michael J. Greenacre, The Carroll-Green-Schaffer Scaling in Correspondence Analysis: A Theoretical and Empirical Appraisal: Journal of Marketing Research. ,vol. 26, pp. 358- 365 ,(1989) , 10.1177/002224378902600310
Shizuhiko Nishisato, Jose G. Clavel, A Note on Between-Set Distances in Dual Scaling and Correspondence Analysis Behaviormetrika. ,vol. 30, pp. 87- 98 ,(2003) , 10.2333/BHMK.30.87
Shizuhiko Nishisato, Yasumasa Baba, On Contingency, Projection and Forced Classification of Dual Scaling Behaviormetrika. ,vol. 26, pp. 207- 219 ,(1999) , 10.2333/BHMK.26.207
Shizuhiko Nishisato, Forced classification: A simple application of a quantification method Psychometrika. ,vol. 49, pp. 25- 36 ,(1984) , 10.1007/BF02294203
J. Douglas Carroll, Interpoint Distance Comparisons in Correspondence Analysis Journal of Marketing Research. ,vol. 23, pp. 271- 280 ,(1986) , 10.1177/002224378602300307