Lissitz R W, Robinson E J
Multivariate Behav Res. 1977 Jan 1;12(1):69-73. doi: 10.1207/s15327906mbr1201_5.
Great interest in non-metric multidimensional scaling has resulted in a number of computer programs to derive solutions. This study examined the effect upon stress of data generated under five metrics and recovered under all five metrics. MDSCAL-5M. TORSCA-9, and POLYCON-II were used to analyse these data. POLYCON-II was the most accurate, although none of the programs was highly successful. In most cases recovery with the Euclidian metric provided, if not the best, very close to the best recovery regardless of the true metric. This study also raised the question of the advisability of using different metric models in nonmetric multidimensional scaling and found that even very different Minkowski metrics are quite similar in the way they rank order dissimilarities.
对非度量多维尺度分析的浓厚兴趣催生了许多用于得出解决方案的计算机程序。本研究考察了在五种度量标准下生成并在所有五种度量标准下恢复的数据对应激的影响。使用MDSCAL - 5M、TORSCA - 9和POLYCON - II来分析这些数据。POLYCON - II最为准确，不过这些程序无一取得了巨大成功。在大多数情况下，无论真实度量标准如何，使用欧几里得度量标准进行恢复即便不是最佳的，也非常接近最佳恢复效果。本研究还提出了在非度量多维尺度分析中使用不同度量模型是否明智的问题，并发现即使是非常不同的闵可夫斯基度量标准，在对差异进行排序的方式上也相当相似。
