Multidimensional scaling

被引:303
作者
Hout, Michael C. [1 ]
Papesh, Megan H. [2 ]
Goldinger, Stephen D. [1 ]
机构
[1] Arizona State Univ, Dept Psychol, Tempe, AZ 85287 USA
[2] Louisiana State Univ, Dept Psychol, Baton Rouge, LA 70803 USA
关键词
D O I
10.1002/wcs.1203
中图分类号
B84 [心理学];
学科分类号
04 ; 0402 ;
摘要
The concept of similarity, or a sense of sameness among things, is pivotal to theories in the cognitive sciences and beyond. Similarity, however, is a difficult thing to measure. Multidimensional scaling (MDS) is a tool by which researchers can obtain quantitative estimates of similarity among groups of items. More formally, MDS refers to a set of statistical techniques that are used to reduce the complexity of a data set, permitting visual appreciation of the underlying relational structures contained therein. The current paper provides an overview of MDS. We discuss key aspects of performing this technique, such as methods that can be used to collect similarity estimates, analytic techniques for treating proximity data, and various concerns regarding interpretation of the MDS output. MDS analyses of two novel data sets are also included, highlighting in step-by-step fashion how MDS is performed, and key issues that may arise during analysis. WIREs Cogn Sci 2013, 4:93103. doi: 10.1002/wcs.1203 For further resources related to this article, please visit the WIREs website. Additional Supporting Information may be found in the online version of this article.
引用
收藏
页码:93 / 103
页数:11
相关论文
共 66 条
[11]  
Bergmann Tiest, W.M., Kappers, A.M.L., Analysis of haptic perception of materials by multidimensional scaling and physical measurements of roughness and compressibility. (2006) Acta Psychologica, 121, pp. 1-20. , doi:10.1016/j.actpsy.2005.04.005
[12]  
Goldstone, R.L., Medin, D.L., Gentner, D., Relational similarity and the nonindependence of features in similarity judgments. (1991) Cogn Psychol, 23, pp. 222-262. , doi:10.1016/0010-0285(91)90010-L
[13]  
Goldstone, R.L., Medin, D.L., Halberstadt, J., Similarity in context. (1997) Mem Cogn, 25, pp. 237-255. , doi:10.3758/BF03201115
[14]  
Attneave, F., Dimensions of similarity. (1950) Am J Psychol, 63, pp. 516-556. , doi:10.2307/1418869
[15]  
Richardson, M.W., Multidimensional psychophysics (1938) Psychol Bull, 35, pp. 659-660
[16]  
Kruskal, J.B., Multidimensional scaling by optimizing goodness of fit to a nonmetric hypothesis. (1964) Psychometrika, 29, pp. 1-27. , doi:10.1007/BF02289565
[17]  
Kruskal, J.B., Nonmetric multidimensional scaling: A numerical method. (1964) Psychometrika, 29, pp. 115-129. , doi:10.1007/BF02289694
[18]  
Shepard, R.N., The analysis of proximities: multidimensional scaling with an unknown distance function. Part I. (1962) Psychometrika, 27, pp. 125-140. , doi:10.1007/BF02289630
[19]  
Shepard, R.N., The analysis of proximities: multidimensional scaling with an unknown distance function. Part II. (1962) Psychometrika, 27, pp. 219-246. , doi:10.1007/BF02289621
[20]  
Torgerson, W.S., (1958) Theory and Methods of Scaling., , New York: Wiley