The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
Multidimensional Scaling by Optimizing Goodness of Fit to a Nonmetric Hypothesis
Abstract
Multidimensional scaling is the problem of representing n objects geometrically by n 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.
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Cites
Shepard, R. N. (1957) · Psychometrika · doi:10.1007/bf02288967 · Cited by 462
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Cited by
UMAP: Uniform Manifold Approximation and Projection for Dimension Reduction
McInnes, L., Healy, J., & Melville, J. (2018) · arXiv · doi:10.48550/arxiv.1802.03426 · Cited by 7,101
Etkin, A., & Wager, T. D. (2007) · American Journal of Psychiatry · doi:10.1176/appi.ajp.2007.07030504 · Cited by 3,391
Toward a Universal Law of Generalization for Psychological Science
Shepard, R. N. (1987) · Science · doi:10.1126/science.3629243 · Cited by 2,416
Social Structure from Multiple Networks. I. Blockmodels of Roles and Positions
White, H. C., Boorman, S. A., & Breiger, R. L. (1976) · American Journal of Sociology · doi:10.1086/226141 · Cited by 2,097
Ramos‐Rodríguez, A., & Ruíz‐Navarro, J. (2004) · Strategic Management Journal · doi:10.1002/smj.397 · Cited by 1,626
Metadata
- Authors
- Kruskal, J. B.
- Venue
- Psychometrika
- Publisher
- Cambridge University Press (CUP)
- Published
- 1964-03
- Volume
- 29
- Issue
- 1
- Pages
- 1-27
- ISSN
- 0033-3123 (ISSN-L)
- 1860-0980
- OpenAlex
- W2152825437
- Cited by
- 7,317
- References
- 1
- FWCI
- 36.50
- Type
- journal article
- Language
- en
- Open access
- closed
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