THE ANALYSIS OF PROXIMITIES - MULTIDIMENSIONAL-SCALING WITH AN UNKNOWN DISTANCE FUNCTION .1.
THE ANALYSIS OF PROXIMITIES - MULTIDIMENSIONAL-SCALING WITH AN UNKNOWN DISTANCE FUNCTION .1.
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DOI：
10.1007/bf02289630
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发表时间：
1962-01-01
期刊：
影响因子：
3
通讯作者：
SHEPARD, RN
中科院分区：
文献类型：
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作者：
SHEPARD, RN
描述了一种计算机程序，该程序被设计成基于关于欧几里德空间中的一组点的基本上非度量的信息来重构该配置。当唯一可用的信息指定每对这些点时，确定点的笛卡尔坐标的最小集合-不是它们之间的距离-而是该距离的某个未知的固定单调函数。该程序被提出作为一种工具，用于简化分析几种类型的心理数据，特别是刺激间的相似性或易混淆性的措施，通过明确的多维结构，这些数据。
A computer program is described that is designed to reconstruct the metric configuration of a set of points in Euclidean space on the basis of essentially nonmetric information about that configuration. A minimum set of Cartesian coordinates for the points is determined when the only available information specifies for each pair of those points—not the distance between them—but some unknown, fixed monotonic function of that distance. The program is proposed as a tool for reductively analyzing several types of psychological data, particularly measures of interstimulus similarity or confusability, by making explicit the multidimensional structure underlying such data.