A random effects individual difference multidimensional scaling model

Computational Statistics and Data Analysis

Volumn 32, Issue 3-4, 2000, Pages 337-347

  Clarkson, Douglas B ^a  

^a Parametric Technology Corporation   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; MATHEMATICAL MODELS;

MULTIDIMENSIONAL SCALING MODELS; RANDOM EFFECTS;

RANDOM PROCESSES;

EID: 0033897077     PISSN: 01679473     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-9473(99)00087-0     Document Type: Article

References (15)

1. Carroll J.D., Chang J.J. Analysis of individual differences in multidimensional scaling via an. n -way generalization of the "Eckart-Young" decomposition Psychometrika. 35:1970;283-319.
2. Clarkson D.B. A least squares version of algorithm AS 211. The F-G diagonalization algorithm. Appl. Statist. 47:1988;317-321.
3. Clarkson D.B. A remark on algorithm AS 211. The F-G diagonalization algorithm. Appl. Statist. 47:1988;147-151.
4. Clarkson, D.B., Gentle, J.E., 1986. Methods for multidimensional scaling. In: Allen, D.M. (Ed.), Proceedings of the 17th Symposium on the Interface. North-Holland, New York, pp. 185-192.
5. Davidian, M., Giltinan, D., 1995. Nonlinear Models for Repeated Measures Data. Chapman & Hall, New York.
6. DeLeeuw J., Pruzansky S. A new computational method to fit the weighted Euclidean distance model. Psychometrika. 43:1978;479-490.
7. DeSarbo W.S., Howard D.J., Jedidi K. Multiclus: a new method for simultaneously performing multidimensional scaling and cluster analysis. Psychometrika. 56:1991;121-136.
8. Lindstrom M.J., Bates D.M. Nonlinear mixed effects models for repeated measures data. Biometrics. 46:1990;673-687.
9. Pinheiro, J.C., Bates, D.M., 1995a. Mixed effects models, methods, and classes for S and splus. Technical Report 89, University of Wisconsin - Madison, Madison, Wisconsin.
10. Pinheiro J.C., Bates D.M. Approximations to the log-likelihood function in the nonlinear mixed effects model. J. Comput. Graphical Statist. 4:1995;12-35.
11. Pinheiro J.C., Bates D.M. Unconstrained parameterizations for variance-covariance matrices. Statist. Comput. 6:1996;289-296.
12. Ramsay J.O. Some statistical approaches to multidimensional scaling data. J. Roy. Statist. Soc. Ser. B. 45:1982;285-312.
13. Schiffman, S.S., Reynolds, M.L., Young, F.W., 1981. Introduction to Multidimensional Scaling: Theory, Methods, and Applications. Wiley, New York.
14. Sheiner L.B., Rosenberg B., Melmon K.L. Modeling of individual pharmacokinetics for computer aided drug dosing. Comput. Biomed. Res. 5:1972;441-459.
15. Takane Y., Young F.W., DeLeeuw J. Nonmetric individual differences multidimensional scaling: an alternating least squares method with optimal scaling properties. Psychometrika. 42:1977;7-67.