Green P, Maheshwari A, Rao V
Multivariate Behav Res. 1969 Apr 1;4(2):159-80. doi: 10.1207/s15327906mbr0402_3.
This paper is concerned with: a ) the invariance of nonmetric multi- dimensional scaling soludions over changes in stimulus domain; and b) pro- cedures for assisting the researcher in interpreting the axes of multidimen- sional scaling configurations. The stimuli consisted of the names of 17 popular brands of automobiles. Similarities and preference judgments were obtained from 37 subjects, divided into two groups of approximately equal size. Each group received 11 of the 17 stimuli. A core set of 6 stimuli was common over both groups. Each group also rated the 11 car models on 20 semantic differential scales. Results of the study suggested that the interpoint distances of bhe core set of 5 stimuli remained stable over subject groups and differences in stimulus set composition. Semantic differential ratings were used to find directions in the configurational space (obtained from overall similarity judg- ments) whose projections were maximally correlated with the outside (property) vectors. Stimulus configurations developed from the semantic differential space were highly congruent with those found by the analysis of direct similarity judgments. However, attempts to develop stimulus configurations by the "unfolding" of preference data alone did not lead to configurations which closely matched those found by the analysis of direct similarities data.
a）非度量多维标度解在刺激域变化时的不变性；b）协助研究者解释多维标度构型坐标轴的程序。刺激物由17种流行汽车品牌的名称组成。从37名受试者那里获得了相似性和偏好判断，这些受试者被分成两组，每组规模大致相等。每组接收17个刺激物中的11个。两组共有一组6个核心刺激物。每组还根据20个语义差异量表对11种汽车模型进行了评分。研究结果表明，5个核心刺激物的点间距离在不同受试者组和刺激集组成差异上保持稳定。语义差异评分用于在构型空间（由整体相似性判断获得）中找到方向，其投影与外部（属性）向量具有最大相关性。从语义差异空间发展而来的刺激构型与通过直接相似性判断分析得到的构型高度一致。然而，仅通过偏好数据的“展开”来发展刺激构型的尝试并没有得到与通过直接相似性数据分析得到的构型紧密匹配的构型。
