More on the Computation of Higher-Order Derivatives of the Elementary Symmetric Functions in the Rasch Model
Michelle Liou; Ivor W. Molenaar
A recursive equation for computing higher-order derivatives of the elementary symmetric functions in the Rasch model is proposed. The formula is conceptually simple and relatively more efficient than the sum algorithm (Gustafsson, 1980). A simulation study indicated that the proposed formula has a small loss in accuracy, compared to the sum algorithm, for computing higher-order derivatives when tests contained 60 items or less. Index terms: difference algorithm, elementary symmetric functions, Formann's equation, Jansen's equation, Rasch model, sum algorithm.
Michelle Liou & Ivor W. Molenaar (1994). More on the Computation of Higher-Order Derivatives of the Elementary Symmetric Functions in the Rasch Model. Applied Psychological Measurement, 18(1), 53-62. https://doi.org/10.1177/014662169401800105