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A Note on the Computation of the Second-Order Derivatives of the Elementary Symmetric Functions in the Rasch Model

Published online by Cambridge University Press:  01 January 2025

Anton K. Formann
Anton K. Formann*
Affiliation:
University of Vienna
*
Requests for reprints should be sent to Anton K. Formann, Institut für Psychologie, Universität Wien, Liebiggasse 5, A-1010 Wien, AUSTRIA.
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Abstract

Jansen (1984) gave explicit formulas for the computation of the second-order derivatives of the elementary symmetric functions. But they are only applicable to those pairs of items which have unequal parameters. It is shown here that for equal parameters similar explicit formulas do exist, too, facilitating the application of the Newton-Raphson procedure to estimate the parameters in the Rasch model and related models according to the conditional maximum likelihood principle.

Keywords

Rasch modelconditional maximum likelihood methodelementary symmetric functionsinformation matrix
Type
Notes and Comments
Information
Psychometrika , Volume 51 , Issue 2 , June 1986 , pp. 335 - 339
Copyright
Copyright © 1986 The Psychometric Society

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Footnotes

The author wishes to thank the reviewers for their helpful comments on an earlier draft of this paper.

References

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