The Numerical Solution of a Set of Conditional Estimation Equations
Journal of the Royal Statistical Society: Series B (Statistical Methodology) · 1972 · Volume 34 · Issue 1
DOI: 10.1111/j.2517-6161.1972.tb00887.x
Abstract
In this paper we discuss the numerical solution of a set of conditional likelihood equations essential for the statistical analysis of psychological questionnaires. The model underlying this type of statistical analysis is described in detail and the conditional maximum-likelihood method that is used for estimating item parameters is discussed in relation to the chosen model. The conditional likelihood equations contain a generalized version of the elementary symmetric functions. The main problem in solving the estimation equations consists in finding a rapid recursive way to compute these functions. Such a procedure is described in the paper. In the final section of the paper the developed method is illustrated by a numerical example.
Keywords
computation maximum-likelihood estimates, rasch model, solution estimation equations
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