DINDSCAL swMATH ID: 13360 Software Authors: Trendafilov, Nickolay T. Description: DINDSCAL: direct INDSCAL. The well-known INDSCAL model for simultaneous metric multidimensional scaling (MDS) of three-way data analyzes doubly centered matrices of squared dissimilarities. An alternative approach, called for short DINDSCAL, is proposed for analyzing directly the input matrices of squared dissimilarities. An important consequence is that missing values can be easily handled. The DINDSCAL problem is solved by means of the projected gradient approach. First, the problem is transformed into a gradient dynamical system on a product matrix manifold (of Stiefel sub-manifold of zero-sum matrices and non-negative diagonal matrices). The constructed dynamical system can be numerically integrated which gives a globally convergent algorithm for solving the DINDSCAL. The DINDSCAL problem and its solution are illustrated by well-known data routinely used in metric MDS and INDSCAL. Alternatively, the problem can also be solved by iterative algorithm based on the conjugate (projected) gradient method, which MATLAB implementation is enclosed as an appendix. Homepage: http://link.springer.com/article/10.1007%2Fs11222-011-9235-2 Dependencies: Matlab Keywords: three-way data; metric multidimensional scaling; missing values; dynamical system on matrix manifold; projected conjugate gradient Related Software: ALSCAL; smacof; Matlab; fminbnd; KELLEY Cited in: 2 Publications Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year DINDSCAL: direct INDSCAL. Zbl 1322.62159Trendafilov, Nickolay T. 2012 Cited by 4 Authors 1 Gardner-Lubbe, Sugnet 1 Gower, John C. 1 le Roux, Niël J. 1 Trendafilov, Nickolay T. Cited in 2 Serials 1 Statistical Papers 1 Statistics and Computing Cited in 3 Fields 2 Statistics (62-XX) 2 Numerical analysis (65-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year