This paper surveys the techniques used in item response
theory to estimate the parameters of the item
characteristic curves fitted to item response data. The
major focus is on the joint maximum likelihood estimation
(JMLE) procedure, but alternative approaches
are also examined. The literature shows that both the
theoretical asymptotic properties and the empirical
properties of the JMLE results are well-established. Although
alternative approaches are available, such as
Bayesian estimation and marginal maximum likelihood
estimation, they do not appear to have an overwhelming
advantage over the JMLE procedure. However, the
properties of these alternative techniques have not
been thoroughly studied as yet. It is also clear that the
properties of the item parameter estimation techniques
are inextricably intertwined with the computer programs
used to implement them.
Baker, Frank B. (1987). Methodology review: Item parameter estimation under the one-, two-, and three-parameter logistic models. Applied Psychological Measurement, 11, 111-141. doi:10.1177/014662168701100201
Baker, Frank B..
Methodology review: Item parameter estimation under the one-, two-, and three-parameter logistic models.
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