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A Note on the Computation of the Second-Order Derivatives of the Elementary Symmetric Functions in the Rasch Model
Anton K. Formann
Journal:

Psychometrika / Volume 51 / Issue 2 / June 1986

Published online by Cambridge University Press:

01 January 2025, pp. 335-339
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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.

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