Hostname: page-component-6bf8c574d5-rwnhh Total loading time: 0 Render date: 2025-02-27T02:36:44.415Z Has data issue: false hasContentIssue false
  • English
  • Français

Note on the Least Squares Solution for the Method of Successive Categories

Published online by Cambridge University Press:  01 January 2025

R. Darrell Bock
R. Darrell Bock*
Affiliation:
University of Chicago
Get access Rights & Permissions [Opens in a new window]

Abstract

The problem of estimation in the method of successive categories is reconsidered and a new least squares solution is obtained. An empirical comparison of this solution with Gulliksen's solution is presented.

Type
Original Paper
Information
Psychometrika , Volume 22 , Issue 3 , September 1957 , pp. 231 - 240
Copyright
Copyright © 1957 The Psychometric Society

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Footnotes

*

Preparation of this paper has been supported by the Quartermaster Food and Container Institute for the Armed Forces. Views or conclusions expressed herein are those of the author and do not necessarily reflect the views or indorsement of the Department of Defense.

References

Bartlett, M. S. The goodness of fit of a single hypothetical discriminant function in the case of several groups. Ann. Eugen., 1951, 16, 199–214CrossRefGoogle ScholarPubMed
Bock, R. D. The selection of judges for preference testing. Psychometrika, 1956, 21, 349–366CrossRefGoogle Scholar
Bock, R. D. A generalization of the law of comparative judgment applied to a problem in prediction of choice. Amer. Psychol., 1956, 11, 442–443. (Abstract)Google Scholar
Diederich, G. W., Messick, S. J., and Tucker, L. R. A general least squares solution for successive intervals. Psychometrika, 1957, 22, 159–173CrossRefGoogle Scholar
Finney, D. J. Probit analysis, New York: Cambridge Univ. Press, 1947Google Scholar
Fisher, R. A. Statistical methods for research workers, New York: Hafner, 1948Google Scholar
Guilford, J. P. Psychometric methods 2nd Ed., New York: McGraw-Hill, 1954Google Scholar
Gulliksen, H. A least squares solution for the method of successive intervals assuming unequal standard deviations. Psychometrika, 1954, 19, 117–139CrossRefGoogle Scholar
Guttman, L. The quantification of a class of attributes: a theory and method of scale construction. In Horst, P. et al., The prediction of personal adjustment (pp. 319–438). New York: Social Science Research Council, 1941Google Scholar
Horst, P. A solution for the matrix of incomplete data. In Horst, P. et al., The prediction of personal adjustment (pp. 419–430). New York: Social Science Research Council, 1941Google Scholar
Hotelling, H. Simplified calculation of principal components. Psychometrika, 1936, 1, 27–35CrossRefGoogle Scholar
Jones, L. V. Prediction of consumer purchase. Amer. Psychol., 1956, 11, 443–443. (Abstract)Google Scholar
Jones, L. V., Peryam, D. R., and Thurstone, L. L. Development of a scale for measuring soldiers' food preferences. Food Research, 1955, 20, 512–520CrossRefGoogle Scholar