Multidimensional scaling by optimizing goodness of fit to a nonmetric hypothesis Export

@article{citeulike:2009702, abstract = {Abstract\ \ Multidimensional scaling is the problem of representingn objects geometrically byn points, so that the interpoint distances correspond in some sense to experimental dissimilarities between objects. In just what sense distances and dissimilarities should correspond has been left rather vague in most approaches, thus leaving these approaches logically incomplete. Our fundamental hypothesis is that dissimilarities and distances are monotonically related. We define a quantitative, intuitively satisfying measure of goodness of fit to this hypothesis. Our technique of multidimensional scaling is to compute that configuration of points which optimizes the goodness of fit. A practical computer program for doing the calculations is described in a companion paper.}, author = {Kruskal, J.}, citeulike-article-id = {2009702}, citeulike-linkout-0 = {http://dx.doi.org/10.1007/BF02289565}, day = {27}, doi = {10.1007/BF02289565}, journal = {Psychometrika}, keywords = {mds}, month = {March}, number = {1}, pages = {1--27}, posted-at = {2009-05-15 17:33:27}, priority = {2}, title = {Multidimensional scaling by optimizing goodness of fit to a nonmetric hypothesis}, url = {http://dx.doi.org/10.1007/BF02289565}, volume = {29}, year = {1964} }

TY - JOUR ID - citeulike:2009702 L3 - citeulike-article-id:2009702 N2 - Abstract  Multidimensional scaling is the problem of representingn objects geometrically byn points, so that the interpoint distances correspond in some sense to experimental dissimilarities between objects. In just what sense distances and dissimilarities should correspond has been left rather vague in most approaches, thus leaving these approaches logically incomplete. Our fundamental hypothesis is that dissimilarities and distances are monotonically related. We define a quantitative, intuitively satisfying measure of goodness of fit to this hypothesis. Our technique of multidimensional scaling is to compute that configuration of points which optimizes the goodness of fit. A practical computer program for doing the calculations is described in a companion paper. IS - 1 JF - Psychometrika EP - 27 TI - Multidimensional scaling by optimizing goodness of fit to a nonmetric hypothesis VL - 29 SP - 1 KW - mds AU - Kruskal, J PY - 1964/03/27/ UR - http://dx.doi.org/10.1007/BF02289565 ER -