bmds swMATH ID: 27804 Software Authors: Oh, Man-Suk; Raftery, Adrian E. Description: bmds: FORTRAN program to implement the methods described in ”Bayesian Multidimensional Scaling and Choice of Dimension” by M-S. Oh and A. Raftery, JASA 2001. Multidimensional scaling is widely used to handle data that consist of similarity or dissimilarity measures between pairs of objects. We deal with two major problems in metric multidimensional scaling-configuration of objects and determination of the dimension of object configuration-within a Bayesian framework. A Markov chain Monte Carlo algorithm is proposed for object configuration, along with a simple Bayesian criterion, called MDSIC, for choosing their dimension. Simulation results are presented, as are real data. Our method provides better results than does classical multidimensional scaling and ALSCAL for object configuration, and MDSIC seems to work well for dimension choice in the examples considered. Homepage: http://lib.stat.cmu.edu/general/BMDS.f90 Dependencies: FORTRAN Related Software: R; BayesDA; Stan; PARAFAC; MassiveMDS; RStan; NUTS; Label.switching; JAGS; ggmap; hpHawkes; ggplot2; CODA; DiceOptim; ismev; DiceKriging; RcppNT2; RcppParallel; Intel TBB; Python Cited in: 17 Documents Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year Bayesian multidimensional scaling and choice of dimension. Zbl 1072.62543Oh, Man-Suk; Raftery, Adrian E. 2001 all top 5 Cited by 33 Authors 3 DeSarbo, Wayne S. 2 Fong, Duncan K. H. 2 Holbrook, Andrew J. 2 Oh, Man-Suk 2 Okada, Kensuke 2 Park, Joonwook 2 Suchard, Marc A. 1 Baele, Guy 1 Brockmann, Dirk 1 Chen, Zhe 1 Chevalier, ClĂ©ment 1 Conklin, W. Michael 1 Dellicour, Simon 1 Ginsbourger, David 1 Hoff, Peter D. 1 Jeon, Minjeong 1 Ji, Xiang 1 Jin, Ick Hoon 1 Lau, Kin-nam 1 Lee, Michael D. 1 Lemey, Philippe 1 Leung, Pui Lam 1 Liechty, John C. 1 Lipovetsky, Stan 1 Martius, Olivia 1 Mayekawa, Shinichi 1 Michis, Antonis A. 1 Raftery, Adrian E. 1 Rajagopal, Priyali 1 Rambaut, Andrew 1 Xu, Zhuying 1 Yanchenko, Anna K. 1 Zhang, Zhihua all top 5 Cited in 12 Serials 4 Psychometrika 2 The Annals of Applied Statistics 2 Journal of Computational and Graphical Statistics 1 Journal of the American Statistical Association 1 Journal of Mathematical Psychology 1 Journal of Multivariate Analysis 1 Journal of Classification 1 Machine Learning 1 Computational Statistics 1 European Journal of Operational Research 1 Pattern Recognition 1 Computational Statistics and Data Analysis all top 5 Cited in 6 Fields 15 Statistics (62-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Numerical analysis (65-XX) 2 Computer science (68-XX) 1 Probability theory and stochastic processes (60-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year