Nonmetric Multidimensional Scaling of Asymmetric Proximities
Nonmetric Multidimensional Scaling of Asymmetric Proximities
复制标题
非对称邻近度的非度量多维标度
DOI：
10.2333/bhmk.14.21_81
复制
发表时间：
1987
期刊：
影响因子：
--
通讯作者：
T. Imaizumi
中科院分区：
文献类型：
--
作者：
A. Okada;T. Imaizumi
提出了一种适用于正方形非对称刺激间邻近矩阵的非度量多维标度。在该模型中，每个刺激被表示为一个点和一个圆（球体，超球体），其中心是在多维欧几里得空间中的该点。圆（球面、超球面）的半径说明了相应刺激的斜对称性。从某种意义上说，该模型是Weeks和Bentler（1982）模型的非度量推广。描述了一种推导点坐标和圆（球体、超球体）半径的算法，该算法最大限度地减少了坐标和半径与给定刺激间接近度的单调关系的差异。并给出了16个车段间车辆切换数据的应用实例。
Nonmetric multidimensional scaling which could be applied to a square asymmetric inter-stimulus proximity matrix is presented. In the model each stimulus is represented as a point and a circle (sphere, hypersphere) whose center is at that point in a multidimensional Euclidean space. The radius of a circle (sphere, hypersphere) tells the skew-symmetry of the corresponding stimulus. In a sense the model is a nonmetric generalization of Weeks and Bentler (1982) ’s model. An algorithm to derive the coordinates of points and radii of circles (spheres, hypers-pheres) which minimize the discrepancy of the coordinates and radii from the monotone relationship with given interstimulus proximities is described. An application to car switching data among 16 car segments is represented.