Fitting an extended INDSCAL model to three-way proximity data |
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Authors: | J. Douglas Carroll Suzanne Winsberg |
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Affiliation: | (1) Present address: Graduate School of Management, Rutgers University, University Heights, 180 University Avenue, 07102-1895 Newark, New Jersey, USA;(2) Present address: IRCAM, 21 rue Saint-Merri, 75004 Paris, France |
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Abstract: | The INDSCAL individual differences scaling model is extended by assuming dimensions specific to each stimulus or other object, as well as dimensions common to all stimuli or objects. An alternating maximum likelihood procedure is used to seek maximum likelihood estimates of all parameters of this EXSCAL (Extended INDSCAL) model, including parameters of monotone splines assumed in a quasi-nonmetric approach. The rationale for and numerical details of this approach are described and discussed, and the resulting EXSCAL method is illustrated on some data on perception of musical timbres. |
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Keywords: | Weighted Euclidean model INDSCAL Multidimensional scaling Specificities Monotone splines |
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