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Finding the Maximum Likelihood Estimate of a Parameter in an

A crucial step in applying item response theory to practical testing problems is the estimation of ability and item parameters in the chosen item response model. It is usually not possible to estimate the parameters analytically. In the situation where there is only one parameter, two fast iterative numerical procedures for finding the maximum likelihood estimate of the parameter are presented in this paper. A numerical example is given to illustrate their use. Scope for further research is then discussed.

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