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Maximum Likelihood Additivity Analysis

Published online by Cambridge University Press:  01 January 2025

Yoshio Takane
Yoshio Takane*
Affiliation:
McGill University
*
Requests for reprints should be sent to Yoshio Takane, Department of Psychology, McGill University, 1205 Avenue Docteur Penfield, Montreal, Quebec, H3A 1B1, Canada.
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Abstract

A maximum likelihood estimation procedure was developed to fit unweighted and weighted additive models to conjoint data obtained by the categorical rating, the pair comparison or the directional ranking method. The scoring algorithm used to fit the models was found to be both reliable and efficient, and the program MAXADD is capable of handling up to 300 parameters to be estimated. Practical uses of the procedure are reported to demonstrate various advantages of the procedure as a statistical method.

Keywords

simple additive modelweighted additive modelmethod of successive categoriesdirectional ranking methodscoring algorithmAIC
Type
Original Paper
Information
Psychometrika , Volume 47 , Issue 3 , September 1982 , pp. 225 - 241
Copyright
Copyright © 1982 The Psychometric Society

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Footnotes

The research reported here was supported by Grant A6394 to the author from the Natural Sciences and Engineering Research Council of Canada. Portions of this research were presented at the Psychometric Society meeting in Iowa City, Iowa, in May, 1980.

Thanks are due to Jim Ramsay, Justine Sergent and anonymous reviewers for their helpful comments.

Two MAXADD programs which perform the computations discussed in this paper may be obtained from the author.

References

Reference Notes

Takane, Y. Statistical procedures for nonmetric multidimensional scaling. Unpublished doctoral dissertation, The University of North Carolina, 1977.Google Scholar
Jones, C. L. Statistical inference with directional data. Handout for the talk given at the Psychometric Society meeting, Iowa, 1980.Google Scholar

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