Restricted multidimensional scaling models for asymmetric proximities
DG Weeks, PM Bentler - Psychometrika, 1982 - Springer
DG Weeks, PM Bentler
Psychometrika, 1982•SpringerRestricted multidimensional scaling models [Bentler & Weeks, 1978] allowing constraints on
parameters, are extended to the case of asymmetric data. Separate functions are used to
model the symmetric and antisymmetric parts of the data. The approach is also extended to
the case in which data are presumed to be linearly related to squared distances. Examples
of several models are provided, using journal citation data. Possible extensions of the
models are considered.
parameters, are extended to the case of asymmetric data. Separate functions are used to
model the symmetric and antisymmetric parts of the data. The approach is also extended to
the case in which data are presumed to be linearly related to squared distances. Examples
of several models are provided, using journal citation data. Possible extensions of the
models are considered.
Abstract
Restricted multidimensional scaling models [Bentler & Weeks, 1978] allowing constraints on parameters, are extended to the case of asymmetric data. Separate functions are used to model the symmetric and antisymmetric parts of the data. The approach is also extended to the case in which data are presumed to be linearly related to squared distances. Examples of several models are provided, using journal citation data. Possible extensions of the models are considered.
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